24740 + Interview Questions in Mathematics

1.	In ΔABC,∠A=45∘,∠B=60∘ and ∠C=75∘. The angles of the triangle formed by joining the mid-points of the sides of this triangles are
Answer» In $Δ A B C, ∠ A = 45^{\circ}, ∠ B = 60^{\circ}$ and $∠ C = 75^{\circ}$ . The angles of the triangle formed by joining the mid-points of the sides of this triangles are

Discussion

2.	The weights (in kg) of 15 students are:31,35,27,29,32,43,37,41,34,28,36,44,45,42,30.Find the median.If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg,find the new median.
Answer» The weights (in kg) of 15 students are:31,35,27,29,32,43,37,41,34,28,36,44,45,42,30.Find the median.If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg,find the new median.

Discussion

3.	A half is represented as _______ and a quarter is represented as ________ respectively.
Answer» A half is represented as _______ and a quarter is represented as ________ respectively.

Discussion

4.	In the figure given below, AC = 10 cm and AB = 8 cm. A perpendicular is drawn from the midpoint of the hypotenuse of the right triangle to the base. Find the length of DE.
Answer» In the figure given below, AC = 10 cm and AB = 8 cm. A perpendicular is drawn from the midpoint of the hypotenuse of the right triangle to the base. Find the length of DE.

4.

In the figure given below, AC = 10 cm and AB = 8 cm. A perpendicular is drawn from the midpoint of the hypotenuse of the right triangle to the base. Find the length of DE.

Answer»

In the figure given below, AC = 10 cm and AB = 8 cm. A perpendicular is drawn from the midpoint of the hypotenuse of the right triangle to the base. Find the length of DE.

Discussion

5.	For which of the following a perpendicular bisector cannot be drawn?
Answer» For which of the following a perpendicular bisector cannot be drawn?

Discussion

6.	Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.
Answer» Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Discussion

7.	A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included) as one of the class interval is constructed for the following data:268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 242, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236The frequency of the class 310-330 is _________.
Answer» A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included) as one of the class interval is constructed for the following data: 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 242, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236 The frequency of the class 310-330 is _________.

Discussion

8.	Question 8 If the medians of a ΔABC intersect at G, then show that ar(ΔAGB)=ar(ΔBGC)=ar(ΔAGC)=13ar(ΔABC).
Answer» Question 8 If the medians of a $Δ A B C$ intersect at G, then show that $a r (Δ A G B) = a r (Δ B G C) = a r (Δ A G C) = \frac{1}{3} a r (Δ A B C)$ .

Discussion

9.

From the following information and Receipts and Payments Account of Delhi Medical Society, prepare Income and Expenditure Account for the year ended 31st March, 2019 and Balance Sheet as at that date. RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2019 Dr. Cr. Receipts (₹) Payments (₹) To Balance b/d 31,900 By Rent 16,800 To Entrance Fees 5,500 By Wages 24,500 To Subscriptions 1,80,000 By Lighting Charges 7,200 To Donations 16,500 By Books 24,800 To Life Membership Fees 25,000 By Medicines (Polio Eradication Project) 1,00,000 To Government Grant (Polio Eradication Project) 2,00,000 By Salaries to Doctors (Polio Eradication Project) 80,000 To Proceeds of Seminar 23,200 By Office Expenses 45,000 To Interest on Deposits 2,400 By 8% Fixed Deposits 1,20,000 (On 1st October, 2018) By Seminar Expenses 20,200 By Cash in Hand 26,000 By Bank A/c (Polio Eradication Project) 20,000 4,84,500 4,84,500 Other information:On 31st March, 2018, the Club possessed books of ₹ 2,00,000 and Furniture of ₹ 85,000. Provide depreciation on these assets 10% including the purchases during the year.Subscriptions in arrears in the beginning of the year amounted to ₹ 3,500 and at the end of the year ₹ 5,500 were outstanding.The Club paid three months' rent in advance both in the beginning and at the end of the year.

Answer» From the following information and Receipts and Payments Account of Delhi Medical Society, prepare Income and Expenditure Account for the year ended 31st March, 2019 and Balance Sheet as at that date.

RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2019
Dr.				Cr.
Receipts	(₹)	Payments	(₹)
To Balance b/d	31,900	By Rent	16,800
To Entrance Fees	5,500	By Wages	24,500
To Subscriptions	1,80,000	By Lighting Charges	7,200
To Donations	16,500	By Books	24,800
To Life Membership Fees	25,000	By Medicines (Polio Eradication Project)	1,00,000
To Government Grant (Polio Eradication Project)	2,00,000	By Salaries to Doctors (Polio Eradication Project)	80,000
To Proceeds of Seminar	23,200	By Office Expenses	45,000
To Interest on Deposits	2,400	By 8% Fixed Deposits	1,20,000
		(On 1st October, 2018)
		By Seminar Expenses	20,200
		By Cash in Hand	26,000
		By Bank A/c (Polio Eradication Project)	20,000

	4,84,500		4,84,500

Other information:

On 31st March, 2018, the Club possessed books of ₹ 2,00,000 and Furniture of ₹ 85,000. Provide depreciation on these assets 10% including the purchases during the year.

Subscriptions in arrears in the beginning of the year amounted to ₹ 3,500 and at the end of the year ₹ 5,500 were outstanding.

The Club paid three months' rent in advance both in the beginning and at the end of the year.

Discussion

10.	Question 106 State whether the statements are True or False. If diagonals of a quadrilateral are equal, it must be a rectangle.
Answer» Question 106 State whether the statements are True or False. If diagonals of a quadrilateral are equal, it must be a rectangle.

Discussion

11.	Which of the following is a binomial ? (a) x2+x+3 (b) x2+4 (c) 2x2 (d) x+3+1x
Answer» Which of the following is a binomial ? (a) $x^{2} + x + 3$ (b) $x^{2} + 4$ (c) $2 x^{2}$ (d) $x + 3 + \frac{1}{x}$

Discussion

12.	Let P be an external point to circle x²+y²= a² , A line drawn from P meets circle at A,B.If Q is such that PQ=(PA+PB)/3. then locus of Q is
Answer» Let P be an external point to circle x²+y²= a² , A line drawn from P meets circle at A,B.If Q is such that PQ=(PA+PB)/3. then locus of Q is

Discussion

13.	The sum of a two digit number and the number obtained by reversing the digits is 121 and the two digits differ by 3. Find the number.
Answer» The sum of a two digit number and the number obtained by reversing the digits is 121 and the two digits differ by 3. Find the number.

Discussion

14.	If Ram's salary went up buy 25 %, then by what percent should it be brought down to bring it to its initial value?
Answer» If Ram's salary went up buy 25 %, then by what percent should it be brought down to bring it to its initial value?

Discussion

15.	If x = 9-4√5, find the value of x2+1x2
Answer» If x = 9-4 $\sqrt{5}$ , find the value of $x^{2} + \frac{1}{x^{2}}$

Discussion

16.	Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210-230 (230 not included):220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.
Answer» Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210-230 (230 not included): 220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.

Discussion

17.	prove that root 2 + root 5 is irrational
Answer» prove that root 2 + root 5 is irrational

Discussion

18.	Complétez le texte avec les verbes donnés et répondez aux questions données ci-dessous. (arriver, faire, travailler, se coucher, dire, devoir, lire, se maquiller, se brosser, aimer, entrer, se lever, prendre, être, porter, se dépêcher, regarder, quitter, se réveiller, s'habiller, s'endormir, descendre, sortir.)1. Répondez par une phrase complète. 1. À quelle heure, Cathérine se réveille-t-elle? 2. Quelle est sa profession? 3. Que prend-elle pour son petit-déjeuner? 4. Que fait-elle quand elle rentre du bureau?2. Complétez avec un mot du texte.3. Trouvez le contraire dans le texte.4. Donnez un autre mot pour:
Answer» Complétez le texte avec les verbes donnés et répondez aux questions données ci-dessous. (arriver, faire, travailler, se coucher, dire, devoir, lire, se maquiller, se brosser, aimer, entrer, se lever, prendre, être, porter, se dépêcher, regarder, quitter, se réveiller, s'habiller, s'endormir, descendre, sortir.) 1. Répondez par une phrase complète. 1. À quelle heure, Cathérine se réveille-t-elle? 2. Quelle est sa profession? 3. Que prend-elle pour son petit-déjeuner? 4. Que fait-elle quand elle rentre du bureau? 2. Complétez avec un mot du texte. 3. Trouvez le contraire dans le texte. 4. Donnez un autre mot pour:

Discussion

19.	ABCD is a cyclic quadrilateral in which : (i) BC \|\| AD, ADC=110o and ∠BAC=50o. Find ∠DAC. (ii) ∠DBC=80o and ∠BAC=40o. Find ∠BCD. (iii) ∠BCD=100o and ABD=70o. Find ∠ADB.
Answer» ABCD is a cyclic quadrilateral in which : (i) BC \|\| AD, $A D C = 110^{o} a n d ∠ B A C = 50^{o}$ . Find $∠ D A C$ . (ii) $∠ D B C = 80^{o} a n d ∠ B A C = 40^{o} .$ Find $∠ B C D$ . (iii) $∠ B C D = 100^{o} a n d A B D = 70^{o}$ . Find $∠ A D B$ .

19.

ABCD is a cyclic quadrilateral in which : (i) BC || AD, ADC=110o and ∠BAC=50o. Find ∠DAC. (ii) ∠DBC=80o and ∠BAC=40o. Find ∠BCD. (iii) ∠BCD=100o and ABD=70o. Find ∠ADB.

Answer»

ABCD is a cyclic quadrilateral in which :

(i) BC || AD, $A D C = 110^{o} a n d ∠ B A C = 50^{o}$ . Find $∠ D A C$ .

(ii) $∠ D B C = 80^{o} a n d ∠ B A C = 40^{o} .$ Find $∠ B C D$ .

(iii) $∠ B C D = 100^{o} a n d A B D = 70^{o}$ . Find $∠ A D B$ .

Discussion

20.	If the diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is(a) 2πh2(b) 32πh2(c) 43πh2(d) πh2
Answer» If the diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is (a) $2 {πh}^{2}$ (b) $\frac{3}{2} {πh}^{2}$ (c) $\frac{4}{3} {πh}^{2}$ (d) ${πh}^{2}$

Discussion

21.	The base perimeter and height of a rectangular prism is 28 m and 12 m respectively. Find LSA in m2.336
Answer» The base perimeter and height of a rectangular prism is 28 m and 12 m respectively. Find LSA in $m^{2}$ . 336

Discussion

22.	The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1 : 2. Find the fraction.
Answer» The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1 : 2. Find the fraction.

Discussion

23.	Show that 3+√7 is irrational.
Answer» Show that 3+√7 is irrational.

Discussion

24.	Angle formed in minor segment of a circle is(a) acute(b) obtuse(c) right angle(d) none of these
Answer» Angle formed in minor segment of a circle is (a) acute (b) obtuse (c) right angle (d) none of these

Discussion

25.	A triangle is formed by joining the coordinates B(0,0), C(8,0) and A(4,8). DE is joined where D is the mid-point of AB, and E is the mid-point of AC. DC and BE is joined to intersect at F. Then, Area of triangle DFB = (x) × Area of triangle EFC, where x is an integer. The value of x is __.
Answer» A triangle is formed by joining the coordinates B(0,0), C(8,0) and A(4,8). DE is joined where D is the mid-point of AB, and E is the mid-point of AC. DC and BE is joined to intersect at F. Then, Area of triangle DFB = (x) $\times$ Area of triangle EFC, where x is an integer. The value of x is __.

Discussion

26.	In the given figure AD is median of Δ ABC, DE is median of Δ ABD and EF is median of Δ BED. If area of Δ ABC is 128 cm2, then area of Δ BEF is
Answer» In the given figure AD is median of $Δ A B C$ , DE is median of $Δ A B D$ and EF is median of $Δ B E D$ . If area of $Δ A B C$ is $128 c m^{2}$ , then area of $Δ B E F$ is

26.

In the given figure AD is median of Δ ABC, DE is median of Δ ABD and EF is median of Δ BED. If area of Δ ABC is 128 cm2, then area of Δ BEF is

Answer»

In the given figure AD is median of $Δ A B C$ , DE is median of $Δ A B D$ and EF is median of $Δ B E D$ . If area of $Δ A B C$ is $128 c m^{2}$ , then area of $Δ B E F$ is

Discussion

27.	Find the value of cot2 30∘−2cos2 60∘−34sec2 45∘−4sin2 30∘.
Answer» Find the value of $c o t^{2} 30^{\circ} - 2 c o s^{2} 60^{\circ} - \frac{3}{4} s e c^{2} 45^{\circ} - 4 s i n^{2} 30^{\circ} .$

Discussion

28.	48. The radius of a circle is 30cm. Find the lenght of an arc of this circle if the lenght of the chord of the arc is 30cm(triangle formed by the chord and the radius at its end points will be equilateral.)
Answer» 48. The radius of a circle is 30cm. Find the lenght of an arc of this circle if the lenght of the chord of the arc is 30cm(triangle formed by the chord and the radius at its end points will be equilateral.)

Discussion

29.	Hi could you send this answer for the below question immediately 1.) In Triangle ABC angle B=105 degree and Angle C=50 find angle A?
Answer» Hi could you send this answer for the below question immediately 1.) In Triangle ABC angle B=105 degree and Angle C=50 find angle A?

29.

Hi could you send this answer for the below question immediately 1.) In Triangle ABC angle B=105 degree and Angle C=50 find angle A?

Answer»

Hi

could you send this answer for the below question immediately

1.) In Triangle ABC angle B=105 degree and Angle C=50 find angle A?

Discussion

30.	The inverse of [3214] is
Answer» The inverse of $[\begin{matrix} 3 & 2 1 & 4 \end{matrix}]$ is

Discussion

31.	The circumference of the base of a 10 m high conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=227).
Answer» The circumference of the base of a $10 m$ high conical tent is $44 m e t r e s .$ Calculate the length of canvas used in making the tent if width of canvas is $2 m .$ (Use $π = \frac{22}{7}$ ).

Discussion

32.	If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. [Use π = 3.14]
Answer» If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, then find (i) radius of its base (ii) its volume. [Use π = 3.14]

Discussion

33.	Find the value of tan63∘+cot23∘tan27∘+cot67∘−tan63∘tan67∘
Answer» Find the value of $\frac{t a n 63^{\circ} + c o t 23^{\circ}}{t a n 27^{\circ} + c o t 67^{\circ}} - t a n 63^{\circ} t a n 67^{\circ}$

Discussion

34.	What will be the sign of constant of the quadratic polynomial if the parabola of the graph of the polynomial doesn't cut the Y-axis?
Answer» What will be the sign of constant of the quadratic polynomial if the parabola of the graph of the polynomial doesn't cut the Y-axis?

Discussion

35.	1. If aa+bb=1 then find the value of 1+b+ia/1+b-ia.
Answer» 1. If aa+bb=1 then find the value of 1+b+ia/1+b-ia.

Discussion

36.	The total surface area of a hemispherical bowl of diameter 28 cm is
Answer» The total surface area of a hemispherical bowl of diameter 28 cm is

Discussion

37.	Question 6 If two chord AB and CD a circle AYDZBWCX intersect at right angles, then prove that arc CXA + arc DZB = arc AYD + arc BWC =semi-circle.
Answer» Question 6 If two chord AB and CD a circle AYDZBWCX intersect at right angles, then prove that arc CXA + arc DZB = arc AYD + arc BWC =semi-circle.

Discussion

38.	It is given that ∠XYZ = and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.
Answer» It is given that ∠XYZ = and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.

Discussion

39.	ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatAP = CQ
Answer» ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that AP = CQ

Discussion

40.	A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4096 m3. After sometime some water was used and , it is found that the depth of water present is 12 m. Find the volume of water used.
Answer» A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4096 m³. After sometime some water was used and , it is found that the depth of water present is 12 m. Find the volume of water used.

Discussion

41.	If the area of an equilateral triangle is20√3cm2, then its perimeter is
Answer» If the area of an equilateral triangle is $20 \sqrt{3} c m^{2},$ then its perimeter is

Discussion

42.	"Lines are parallel if they do not intersect," prove the above with suitable diagram.
Answer» "Lines are parallel if they do not intersect," prove the above with suitable diagram.

Discussion

43.	The lateral surface area of a cube is 256 cm2. The volume of the cube is __________.
Answer» The lateral surface area of a cube is 256 cm². The volume of the cube is __________.

Discussion

44.	The number of surjective functions from {2,4,6,8,.....2n} to {1,2} is
Answer» The number of surjective functions from {2,4,6,8,.....2n} to {1,2} is

Discussion

45.	Prove that the length of tangent drawn from an external point to a circle are equal and also prove the following if a circle touches all the four sides of parallelogram show that the parallelogram is a rhombus?
Answer» Prove that the length of tangent drawn from an external point to a circle are equal and also prove the following if a circle touches all the four sides of parallelogram show that the parallelogram is a rhombus?

Discussion

46.	Which of these points does not lie on the graph of y = -x + 3?
Answer» Which of these points does not lie on the graph of y = -x + 3?

Discussion

47.	The times (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820 The number of atheletes who completed the race in less than 14.6 seconds is
Answer» The times (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below $\begin{matrix} Class & 13.8 - 14 & 14 - 14.2 & 14.2 - 14.4 & 14.4 - 14.6 & 14.6 - 14.8 & 14.8 - 15 Frequency & 2 & 4 & 5 & 71 & 48 & 20 \end{matrix}$ The number of atheletes who completed the race in less than 14.6 seconds is

47.

The times (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820 The number of atheletes who completed the race in less than 14.6 seconds is

Answer»

The times (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below

$\begin{matrix} Class & 13.8 - 14 & 14 - 14.2 & 14.2 - 14.4 & 14.4 - 14.6 & 14.6 - 14.8 & 14.8 - 15 Frequency & 2 & 4 & 5 & 71 & 48 & 20 \end{matrix}$

The number of atheletes who completed the race in less than 14.6 seconds is

Discussion

48.	tangentsPAandPB are drawn from a point P to the circlex^2+y^2-2x-2y+1=0 if the point p lies on the linelx+my+n=0wherel,m,n are constants then find the locus of circumcentre of△ PAB
Answer» tangentsPAandPB are drawn from a point P to the circlex^2+y^2-2x-2y+1=0 if the point p lies on the linelx+my+n=0wherel,m,n are constants then find the locus of circumcentre of△ PAB

Discussion

49.	The radius and height of a right circular cone are in the ratio 1:2. If its volume is 144π cm3, find its slant height.
Answer» The radius and height of a right circular cone are in the ratio $1 : 2$ . If its volume is $144 π {c m}^{3}$ , find its slant height.

Discussion

50.	An exterior angle of a triangle is 105o and its two interior opposite angles are equal. Each of these equal interior angles is:
Answer» An exterior angle of a triangle is 105^o and its two interior opposite angles are equal. Each of these equal interior angles is:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In ΔABC,∠A=45∘,∠B=60∘ and ∠C=75∘. The angles of the triangle formed by joining the mid-points of the sides of this triangles are

The weights (in kg) of 15 students are:31,35,27,29,32,43,37,41,34,28,36,44,45,42,30.Find the median.If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg,find the new median.

A half is represented as _______ and a quarter is represented as ________ respectively.

In the figure given below, AC = 10 cm and AB = 8 cm. A perpendicular is drawn from the midpoint of the hypotenuse of the right triangle to the base. Find the length of DE.

For which of the following a perpendicular bisector cannot be drawn?

Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Question 8 If the medians of a ΔABC intersect at G, then show that ar(ΔAGB)=ar(ΔBGC)=ar(ΔAGC)=13ar(ΔABC).

Question 106 State whether the statements are True or False. If diagonals of a quadrilateral are equal, it must be a rectangle.

Which of the following is a binomial ? (a) x2+x+3 (b) x2+4 (c) 2x2 (d) x+3+1x

Let P be an external point to circle x²+y²= a² , A line drawn from P meets circle at A,B.If Q is such that PQ=(PA+PB)/3. then locus of Q is

The sum of a two digit number and the number obtained by reversing the digits is 121 and the two digits differ by 3. Find the number.

If Ram's salary went up buy 25 %, then by what percent should it be brought down to bring it to its initial value?

If x = 9-4√5, find the value of x2+1x2

prove that root 2 + root 5 is irrational

ABCD is a cyclic quadrilateral in which : (i) BC || AD, ADC=110o and ∠BAC=50o. Find ∠DAC. (ii) ∠DBC=80o and ∠BAC=40o. Find ∠BCD. (iii) ∠BCD=100o and ABD=70o. Find ∠ADB.

If the diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is(a) 2πh2(b) 32πh2(c) 43πh2(d) πh2

The base perimeter and height of a rectangular prism is 28 m and 12 m respectively. Find LSA in m2.336

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1 : 2. Find the fraction.

Show that 3+√7 is irrational.

Angle formed in minor segment of a circle is(a) acute(b) obtuse(c) right angle(d) none of these

A triangle is formed by joining the coordinates B(0,0), C(8,0) and A(4,8). DE is joined where D is the mid-point of AB, and E is the mid-point of AC. DC and BE is joined to intersect at F. Then, Area of triangle DFB = (x) × Area of triangle EFC, where x is an integer. The value of x is __.

In the given figure AD is median of Δ ABC, DE is median of Δ ABD and EF is median of Δ BED. If area of Δ ABC is 128 cm2, then area of Δ BEF is

Find the value of cot2 30∘−2cos2 60∘−34sec2 45∘−4sin2 30∘.

48. The radius of a circle is 30cm. Find the lenght of an arc of this circle if the lenght of the chord of the arc is 30cm(triangle formed by the chord and the radius at its end points will be equilateral.)

Hi could you send this answer for the below question immediately 1.) In Triangle ABC angle B=105 degree and Angle C=50 find angle A?

The inverse of [3214] is

The circumference of the base of a 10 m high conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=227).

If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. [Use π = 3.14]

Find the value of tan63∘+cot23∘tan27∘+cot67∘−tan63∘tan67∘

What will be the sign of constant of the quadratic polynomial if the parabola of the graph of the polynomial doesn't cut the Y-axis?

1. If aa+bb=1 then find the value of 1+b+ia/1+b-ia.

The total surface area of a hemispherical bowl of diameter 28 cm is

Question 6 If two chord AB and CD a circle AYDZBWCX intersect at right angles, then prove that arc CXA + arc DZB = arc AYD + arc BWC =semi-circle. ​​​​​​​

It is given that ∠XYZ = and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatAP = CQ

A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4096 m3. After sometime some water was used and , it is found that the depth of water present is 12 m. Find the volume of water used.

If the area of an equilateral triangle is20√3cm2, then its perimeter is

"Lines are parallel if they do not intersect," prove the above with suitable diagram.

The lateral surface area of a cube is 256 cm2. The volume of the cube is __________.

The number of surjective functions from {2,4,6,8,.....2n} to {1,2} is

Prove that the length of tangent drawn from an external point to a circle are equal and also prove the following if a circle touches all the four sides of parallelogram show that the parallelogram is a rhombus?

Which of these points does not lie on the graph of y = -x + 3?

The times (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820 The number of atheletes who completed the race in less than 14.6 seconds is

tangentsPAandPB are drawn from a point P to the circlex^2+y^2-2x-2y+1=0 if the point p lies on the linelx+my+n=0wherel,m,n are constants then find the locus of circumcentre of△ PAB

The radius and height of a right circular cone are in the ratio 1:2. If its volume is 144π cm3, find its slant height.

An exterior angle of a triangle is 105o and its two interior opposite angles are equal. Each of these equal interior angles is:

A half is represented as _ and a quarter is represented as __ respectively.

Question 6 If two chord AB and CD a circle AYDZBWCX intersect at right angles, then prove that arc CXA + arc DZB = arc AYD + arc BWC =semi-circle.