32581 + Interview Questions in Mathematics Page 251 InterviewSolution

12501.	Fill In The Blanks If two equals chords AB and AC of a circle with centre O are on the opposite sides of OA, then ∠OAB = ____________ .
Answer» Fill In The Blanks If two equals chords AB and AC of a circle with centre O are on the opposite sides of OA, then ∠OAB = ____________ .

Discussion

12502.	Triangle XYZ is an isosceles right triangle ,right angled atY. M and N are midpoints of XY and XZ respectively find the measure of angle XNMundefinedundefinedundefinedundefined
Answer» Triangle XYZ is an isosceles right triangle ,right angled atY. M and N are midpoints of XY and XZ respectively find the measure of angle XNM undefined undefined undefined undefined

Discussion

12503.	sin θ cos (90∘−θ) cos θsin (90∘−θ)+cos θ sin (90∘−θ) sin θcos (90∘−θ)= ___
Answer» $\frac{sin θ cos (90^{\circ} - θ) cos θ}{sin (90^{\circ} - θ)} + \frac{cos θ sin (90^{\circ} - θ) sin θ}{cos (90^{\circ} - θ)} =$ ___

Discussion

12504.	If one zero of polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k =
Answer» If one zero of polynomial f(x) = (k² + 4)x² + 13x + 4k is reciprocal of the other, then k =

Discussion

12505.	In the given figure, a toy made from a hemisphere, a cylinder and a cone is shown. Find the total area of the toy.
Answer» In the given figure, a toy made from a hemisphere, a cylinder and a cone is shown. Find the total area of the toy.

Discussion

12506.	In ΔABC, point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of ∠AED.
Answer» In $Δ A B C$ , point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of $∠ A E D$ .

12506.

In ΔABC, point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of ∠AED.

Answer»

In $Δ A B C$ , point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of $∠ A E D$ .

Discussion

12507.	what is centre of mas
Answer» what is centre of mas

Discussion

12508.	Given that HCF(2520,6600)=40LCM(2520,6600)=252×k then find the value of k.
Answer» Given that HCF(2520,6600)=40LCM(2520,6600)=252×k then find the value of k.

Discussion

12509.	Question 3A cone is 8.4cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. The radius of the sphere is:A) 4.2 cmB) 2.1 cmC) 2.4 cmD) 1.6 cm
Answer» Question 3 A cone is 8.4cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. The radius of the sphere is: A) 4.2 cm B) 2.1 cm C) 2.4 cm D) 1.6 cm

Discussion

12510.	In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90.
Answer» In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90.

12510.

In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90.

Answer»

In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90.

Discussion

12511.	The length of the side of the square that can be inscribed in a circle of radius 6 cm is
Answer» The length of the side of the square that can be inscribed in a circle of radius $6 cm$ is

Discussion

12512.	A sailor goes 8 km downstream in 40 minutes and returns in 1 hour. Determine the speed of the sailor in still water and the speed of the current.
Answer» A sailor goes 8 km downstream in 40 minutes and returns in 1 hour. Determine the speed of the sailor in still water and the speed of the current.

Discussion

12513.	The length of the shadow of a tree is 18 metres, when the sun is at an elevation of 40°. What is the height of the tree?
Answer» The length of the shadow of a tree is 18 metres, when the sun is at an elevation of 40°. What is the height of the tree?

Discussion

12514.	The Horizontal distance between two towers is 140m. The angle of elevation of the top of the first tower, when seen from the top of the second tower is 30 degree.If the height of the second tower is 60m,find the height of the first tower.
Answer» The Horizontal distance between two towers is 140m. The angle of elevation of the top of the first tower, when seen from the top of the second tower is 30 degree.If the height of the second tower is 60m,find the height of the first tower.

Discussion

12515.	Euclid's division lemma states that for two positive integers a and b , there exist unique integers q and r such that a = bq + r , where r must satisfy (a) 1 < r < b (b) 0 < r ≤ b (c) 0 ≤ r < b (d) 0 < r < b r
Answer» Euclid's division lemma states that for two positive integers a and b , there exist unique integers q and r such that a = bq + r , where r must satisfy (a) 1 < r < b (b) 0 < r $\leq$ b (c) 0 $\leq$ r < b (d) 0 < r < b r

Discussion

12516.	Prove that in a triangle if the square of one side is equal to the sum of the squares of the other two side then the angle opposite to the first side is a right angle.
Answer» Prove that in a triangle if the square of one side is equal to the sum of the squares of the other two side then the angle opposite to the first side is a right angle.

Discussion

12517.	In a science lab, some chemicals should be preserved under 2 degree Celsius. Which of the following graph shows the inequality for the above situation?
Answer» In a science lab, some chemicals should be preserved under 2 degree Celsius. Which of the following graph shows the inequality for the above situation?

Discussion

12518.	Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm. 7 cm. find the area of the remaining card board [Use π=227]
Answer» Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm. 7 cm. find the area of the remaining card board $[U s e π = \frac{22}{7}]$

Discussion

12519.	Prove that 2+53 is an irrational number, given that 3 is an irrational number.
Answer» Prove that $2 + 5 \sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is an irrational number.

Discussion

12520.	Question 50 In the following question, fill in the blanks to make the statements true. If 36=6×6=62,then136 expressed as a power with the base 6 is ___ .
Answer» Question 50 In the following question, fill in the blanks to make the statements true. If $36 = 6 \times 6 = 6^{2}, t h e n \frac{1}{36}$ expressed as a power with the base 6 is ___ .

12520.

Question 50 In the following question, fill in the blanks to make the statements true. If 36=6×6=62,then136 expressed as a power with the base 6 is ___ .

Answer»

Question 50

In the following question, fill in the blanks to make the statements true.

If $36 = 6 \times 6 = 6^{2}, t h e n \frac{1}{36}$ expressed as a power with the base 6 is ___ .

Discussion

12521.

The following data gives the distribution of total monthly household expenditure of 200 families of a villages. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure: Expenditure (in Rs.) Frequency Expenditure (in Rs.) Frequency 1000−1500 1500−2000 2000−2500 2500−3000 24 40 33 28 3000−3500 3500−4000 4000−4500 4500−5000 30 22 16 7

Answer» The following data gives the distribution of total monthly household expenditure of 200 families of a villages. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:

Expenditure (in Rs.)	Frequency	Expenditure (in Rs.)	Frequency
1000−1500 1500−2000 2000−2500 2500−3000	24 40 33 28	3000−3500 3500−4000 4000−4500 4500−5000	30 22 16 7

Discussion

12522.	Question 12 Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2cm and height 16cm. the diameter of each sphere is (A) 4cm (B) 3cm (C) 2cm (D) 6cm
Answer» Question 12 Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter $2 c m$ and height $16 c m$ . the diameter of each sphere is (A) $4 c m$ (B) $3 c m$ (C) $2 c m$ (D) $6 c m$

Discussion

12523.	Mention the proper order of identifying a point D on BC such that BDDC=23.1) Join B5C and draw a line parallel to B5C from B2.2) Identify the ratio in which the point D divides BC using the relation given.3) Mark 5 points B1, B2, B3, B4 and B5 on BX such that they are equidistant.4) Construct a ray BX which makes an acute angle with line segment BC.5) The point of intersection of the parallel line from B2 with BC is the point D.
Answer» Mention the proper order of identifying a point D on BC such that $\frac{B D}{D C} = \frac{2}{3}$ . 1) Join $B_{5} C$ and draw a line parallel to $B_{5} C$ from $B_{2}$ . 2) Identify the ratio in which the point D divides BC using the relation given. 3) Mark 5 points B₁, B₂, B₃, B₄ and B₅ on BX such that they are equidistant. 4) Construct a ray BX which makes an acute angle with line segment BC. 5) The point of intersection of the parallel line from B₂ with BC is the point D.

Discussion

12524.	Which number should be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion?
Answer» Which number should be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion?

Discussion

12525.	What is the least no. Which when divided by 8,12,16 leaves 3 as the remainder in each case but when divided by 7 leaves no remainder
Answer» What is the least no. Which when divided by 8,12,16 leaves 3 as the remainder in each case but when divided by 7 leaves no remainder

Discussion

12526.	Value of limx→−1cos2−cos2xx2−\|x\| is
Answer» Value of $lim x \to - 1 \frac{cos 2 - cos 2 x}{x^{2} - \| x \|}$ is

Discussion

12527.	An unbiased coin is tossed till head appears . Find probablility distribution , variance and standard deviation
Answer» An unbiased coin is tossed till head appears . Find probablility distribution , variance and standard deviation

Discussion

12528.	α , β , γ are the zeroes of cubic polynomial x3-6x2+ p(x-1) + 5. If α , β , γ are in A.P., then find theproduct of all the zeroes
Answer» α , β , γ are the zeroes of cubic polynomial x3-6x2+ p(x-1) + 5. If α , β , γ are in A.P., then find theproduct of all the zeroes

Discussion

12529.	Pair the cards to complete the pattern.
Answer» Pair the cards to complete the pattern.

Discussion

12530.	limx->0(cosecx-cotx)
Answer» limx->0(cosecx-cotx)

Discussion

12531.	In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm, and BN = 24 cm. Find the value of ME and DM.
Answer» In the given figure, $\frac{D E}{B C}$ , AE = 15 cm, EC = 9 cm, NC = 6 cm, and BN = 24 cm. Find the value of ME and DM.

12531.

In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm, and BN = 24 cm. Find the value of ME and DM.

Answer»

In the given figure, $\frac{D E}{B C}$ , AE = 15 cm, EC = 9 cm, NC = 6 cm, and BN = 24 cm. Find the value of ME and DM.

Discussion

12532.	Question 1 (ii) A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (ii)The cost of the sheet for it, if a sheet measuring 1 m2 costs Rs. 20.
Answer» Question 1 (ii) A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (ii)The cost of the sheet for it, if a sheet measuring $1 m^{2}$ costs Rs. 20.

Discussion

12533.	card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is bearing a number below 4 and above 8.
Answer» card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is bearing a number below 4 and above 8.

Discussion

12534.	The probability of drawing two red balls in succession from a bag containing 4 red and 5 black balls, when the ball that is drawn 1st is not replaced is
Answer» The probability of drawing two red balls in succession from a bag containing $4$ red and $5$ black balls, when the ball that is drawn $1 st$ is not replaced is

Discussion

12535.	If α,β are the roots of the equation ax2+bx+c=0 and α+h,β+h are the roots of px2+qx+r=0(h≠0), then
Answer» If $α, β$ are the roots of the equation $a x^{2} + b x + c = 0 a n d α + h, β + h$ are the roots of $p x^{2} + q x + r = 0 (h \neq 0)$ , then

Discussion

12536.	Prove the following trigonometric identities: cosec6θ=cot6θ+3cot2θ cosec2θ+1
Answer» Prove the following trigonometric identities: $c o s e c^{6} θ = c o t^{6} θ + 3 c o t^{2} θ c o s e c^{2} θ + 1$

12536.

Prove the following trigonometric identities: cosec6θ=cot6θ+3cot2θ cosec2θ+1

Answer»

Prove the following trigonometric identities:

$c o s e c^{6} θ = c o t^{6} θ + 3 c o t^{2} θ c o s e c^{2} θ + 1$

Discussion

12537.	A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23.Find the number of blue balls in the jar.
Answer» A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is $\frac{2}{3}$ . Find the number of blue balls in the jar.

Discussion

12538.	A takes 6 days less than the time taken by B to finish a piece of work. Both A and B together can finish it in 4 days. The time taken by B to finish the work is ___ days.
Answer» A takes 6 days less than the time taken by B to finish a piece of work. Both A and B together can finish it in 4 days. The time taken by B to finish the work is ___ days.

Discussion

12539.	PQRS is a cyclic quadrilateral ∠P=3x,∠Q=y,∠R=x,∠S=5y. Find x and y.
Answer» PQRS is a cyclic quadrilateral $∠ P = 3 x, ∠ Q = y, ∠ R = x, ∠ S = 5 y$ . Find x and y.

12539.

PQRS is a cyclic quadrilateral ∠P=3x,∠Q=y,∠R=x,∠S=5y. Find x and y.

Answer»

PQRS is a cyclic quadrilateral $∠ P = 3 x, ∠ Q = y, ∠ R = x, ∠ S = 5 y$ . Find x and y.

Discussion

12540.	In the ΔABC, DE \|\| BC and ADDB=35. If AC=5.6 cm. Then AE= _____.
Answer» $I n t h e Δ A B C, D E \| \| B C a n d \frac{A D}{D B} = \frac{3}{5} .$ If $A C = 5.6 c m$ . Then $A E =$ _____.

Discussion

12541.	The region bounded by two radii and an arc is called a ___
Answer» The region bounded by two radii and an arc is called a ___

Discussion

12542.	What is the coefficient of x2 in the polynomial p(x)=x5+3x4+2x2+1 ?
Answer» What is the coefficient of $x^{2}$ in the polynomial p(x)= $x^{5} + 3 x^{4} + 2 x^{2} + 1$ ?

Discussion

12543.	all formulae of chapter into to trignmetry
Answer» all formulae of chapter into to trignmetry

Discussion

12544.	Write the number of chords in each figure as a sequence.Do they follow arithmetic sequence?
Answer» Write the number of chords in each figure as a sequence. Do they follow arithmetic sequence?

12544.

Write the number of chords in each figure as a sequence.Do they follow arithmetic sequence?

Answer»

Write the number of chords in each figure as a sequence.

Do they follow arithmetic sequence?

Discussion

12545.	Verify that (i) 4 is a zero of the polynomial, p(x) = x - 4. (ii) -3 is a zero of the polynomial, q (x) = x + 3. (iii) 25 is a zero of the polynomial, f(x)=2−5x
Answer» Verify that (i) 4 is a zero of the polynomial, p(x) = x - 4. (ii) -3 is a zero of the polynomial, q (x) = x + 3. (iii) $\frac{2}{5}$ is a zero of the polynomial, $f (x) = 2 - 5 x$

Discussion

12546.	Solve the two equations using method of elimination.a1x+b1y+c1=0a2x+b2y+c2=0
Answer» Solve the two equations using method of elimination. $a_{1} x + b_{1} y + c_{1} = 0$ $a_{2} x + b_{2} y + c_{2} = 0$

12546.

Solve the two equations using method of elimination.a1x+b1y+c1=0a2x+b2y+c2=0

Answer»

Solve the two equations using method of elimination.

$a_{1} x + b_{1} y + c_{1} = 0$

$a_{2} x + b_{2} y + c_{2} = 0$

Discussion

12547.	draw the graph of linear equation 3x+y=3, 3x+y=9
Answer» draw the graph of linear equation 3x+y=3, 3x+y=9

Discussion

12548.	Solve the following quadratic equation using quadratic formula . 9x2−9(a+b)x+(2a2+5ab+2b2)=0
Answer» Solve the following quadratic equation using quadratic formula . $9 x^{2} - 9 (a + b) x + (2 a^{2} + 5 a b + 2 b^{2}) = 0$

Discussion

12549.	Pavan built a conical flask using 550 m2 of aluminium sheet. If the radius of the flask is 7 m, then how much water can be filled in the flask(in litres)? [The bottom of the flask is of another material.]
Answer» Pavan built a conical flask using 550 $m^{2}$ of aluminium sheet. If the radius of the flask is 7 m, then how much water can be filled in the flask(in litres)? [The bottom of the flask is of another material.]

Discussion

12550.

Write the following transactions in the Cash Book of Premium Stores, Kolkata (Proprietor Amrit Kumar): 2019 ₹ Jan. 1 Commenced business with cash 50,000 Jan. 2 Opened Bank Account and deposited cash in bank 20,000 Purchased goods in cash of ₹ 5,000 plus CGST and SGST 6% each 5,000 Jan. 4 Paid wages 500 Jan. 6 Cash sales of ₹ 2,000 plus CGST and SGST 6% each 2,000 Purchased goods for ₹ 10,000 plus CGST and SGST 6% each for cash Jan. 10 Sold goods of ₹ 4,000 plus CGST and SGST 6% each and payment received by cheque which is deposited in Bank, allowed cash discount of ₹ 400 Received from Amit 5,900 Allowed him discount 100 Jan. 15 Paid to Bhaskar 2,800 Received discount 200 Jan. 18 Purchased goods from Kanchan, Delhi of ₹ 10,000 plus IGST 12% Jan. 20 Goods were destroyed during transportation, Transport Company settled the claim for ₹ 10,000 in full Jan. 27 Received cheque from the transport company 10,000 Jan. 28 Withdrew for office use 5,000

Answer» Write the following transactions in the Cash Book of Premium Stores, Kolkata (Proprietor Amrit Kumar):


2019		₹
Jan. 1	Commenced business with cash	50,000
Jan. 2	Opened Bank Account and deposited cash in bank	20,000
	Purchased goods in cash of ₹ 5,000 plus CGST and SGST 6% each	5,000
Jan. 4	Paid wages	500
Jan. 6	Cash sales of ₹ 2,000 plus CGST and SGST 6% each	2,000
	Purchased goods for ₹ 10,000 plus CGST and SGST 6% each for cash
Jan. 10	Sold goods of ₹ 4,000 plus CGST and SGST 6% each and payment received by cheque which is deposited in Bank, allowed cash discount of ₹ 400
	Received from Amit	5,900
	Allowed him discount	100
Jan. 15	Paid to Bhaskar	2,800
	Received discount	200
Jan. 18	Purchased goods from Kanchan, Delhi of ₹ 10,000 plus IGST 12%
Jan. 20	Goods were destroyed during transportation, Transport Company settled the claim for ₹ 10,000 in full
Jan. 27	Received cheque from the transport company	10,000
Jan. 28	Withdrew for office use	5,000

Discussion

Explore topic-wise InterviewSolutions in .

Fill In The Blanks If two equals chords AB and AC of a circle with centre O are on the opposite sides of OA, then ∠OAB = ____________ .

Triangle XYZ is an isosceles right triangle ,right angled atY. M and N are midpoints of XY and XZ respectively find the measure of angle XNMundefinedundefinedundefinedundefined

sin θ cos (90∘−θ) cos θsin (90∘−θ)+cos θ sin (90∘−θ) sin θcos (90∘−θ)= ___

If one zero of polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k =

In the given figure, a toy made from a hemisphere, a cylinder and a cone is shown. Find the total area of the toy.

In ΔABC, point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of ∠AED.

what is centre of mas

Given that HCF(2520,6600)=40LCM(2520,6600)=252×k then find the value of k.

Question 3A cone is 8.4cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. The radius of the sphere is:A) 4.2 cmB) 2.1 cmC) 2.4 cmD) 1.6 cm

In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90.

The length of the side of the square that can be inscribed in a circle of radius 6 cm is

A sailor goes 8 km downstream in 40 minutes and returns in 1 hour. Determine the speed of the sailor in still water and the speed of the current.

The length of the shadow of a tree is 18 metres, when the sun is at an elevation of 40°. What is the height of the tree?

The Horizontal distance between two towers is 140m. The angle of elevation of the top of the first tower, when seen from the top of the second tower is 30 degree.If the height of the second tower is 60m,find the height of the first tower.

Euclid's division lemma states that for two positive integers a and b , there exist unique integers q and r such that a = bq + r , where r must satisfy (a) 1 < r < b (b) 0 < r ≤ b (c) 0 ≤ r < b (d) 0 < r < b r

Prove that in a triangle if the square of one side is equal to the sum of the squares of the other two side then the angle opposite to the first side is a right angle.

In a science lab, some chemicals should be preserved under 2 degree Celsius. Which of the following graph shows the inequality for the above situation?

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm. 7 cm. find the area of the remaining card board [Use π=227]

Prove that 2+53 is an irrational number, given that 3 is an irrational number.

Question 50 In the following question, fill in the blanks to make the statements true. If 36=6×6=62,then136 expressed as a power with the base 6 is ___ .

Question 12 Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2cm and height 16cm. the diameter of each sphere is (A) 4cm (B) 3cm (C) 2cm (D) 6cm

Which number should be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion?

What is the least no. Which when divided by 8,12,16 leaves 3 as the remainder in each case but when divided by 7 leaves no remainder

Value of limx→−1cos2−cos2xx2−|x| is

An unbiased coin is tossed till head appears . Find probablility distribution , variance and standard deviation

α , β , γ are the zeroes of cubic polynomial x3-6x2+ p(x-1) + 5. If α , β , γ are in A.P., then find theproduct of all the zeroes

Pair the cards to complete the pattern.

limx->0(cosecx-cotx)

In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm, and BN = 24 cm. Find the value of ME and DM.

Question 1 (ii) A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (ii)The cost of the sheet for it, if a sheet measuring 1 m2 costs Rs. 20.

card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is bearing a number below 4 and above 8.

The probability of drawing two red balls in succession from a bag containing 4 red and 5 black balls, when the ball that is drawn 1st is not replaced is

If α,β are the roots of the equation ax2+bx+c=0 and α+h,β+h are the roots of px2+qx+r=0(h≠0), then

Prove the following trigonometric identities: cosec6θ=cot6θ+3cot2θ cosec2θ+1

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23.Find the number of blue balls in the jar.

A takes 6 days less than the time taken by B to finish a piece of work. Both A and B together can finish it in 4 days. The time taken by B to finish the work is ___ days.

PQRS is a cyclic quadrilateral ∠P=3x,∠Q=y,∠R=x,∠S=5y. Find x and y.

In the ΔABC, DE || BC and ADDB=35. If AC=5.6 cm. Then AE= _____.

The region bounded by two radii and an arc is called a ___

What is the coefficient of x2 in the polynomial p(x)=x5+3x4+2x2+1 ?

all formulae of chapter into to trignmetry

Write the number of chords in each figure as a sequence.Do they follow arithmetic sequence?

Verify that (i) 4 is a zero of the polynomial, p(x) = x - 4. (ii) -3 is a zero of the polynomial, q (x) = x + 3. (iii) 25 is a zero of the polynomial, f(x)=2−5x

Solve the two equations using method of elimination.a1x+b1y+c1=0a2x+b2y+c2=0

draw the graph of linear equation 3x+y=3, 3x+y=9

Solve the following quadratic equation using quadratic formula . 9x2−9(a+b)x+(2a2+5ab+2b2)=0

Pavan built a conical flask using 550 m2 of aluminium sheet. If the radius of the flask is 7 m, then how much water can be filled in the flask(in litres)? [The bottom of the flask is of another material.]