24740 + Interview Questions in Mathematics

1.	In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
Answer» In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

1.

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Answer»

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

2.	If A1, A2, and A3 denote the areas of three adjacent faces of a cuboid, then its volume is(i) A1 A2 A3(ii) 2A1 A2 A3(iii) A1A2A3(iv) 3A1A2A3
Answer» If A1, A2, and A3 denote the areas of three adjacent faces of a cuboid, then its volume is (i) A1 A2 A3 (ii) 2A1 A2 A3 (iii) $\sqrt{A_{1} A_{2} A_{3}}$ (iv) $^{3} \sqrt{A_{1} A_{2} A_{3}}$

Discussion

3.	A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:
Answer» A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:

Discussion

4.

From the follwoing information supplied by Sanjay, prepare his Bank Reconcilation Statement as on 31st March, 2018: ₹ (i) Bank overdraft as per Pass Book. 16,500 (ii) Cheques issued but not presented for payment. 8,750 (iii) Cheques deposited with the Bank but not collected. 10,500 (iv) Cheques recorded in the Cash Book but not sent to the bank for collection. 2,000 (v) Payments received from customers directly by the bank. 3,500 (vi) Bank charges debited in the Pass Book. 200 (vii) Premium on Life Policy of Sanjay paid by the bank on standing advice. 1,980 (viii) A bill for ₹ 3,000 (discounted with the bank in February) dishonoured on 31st March, 2018 and noting charges paid by the bank. 100

Answer» From the follwoing information supplied by Sanjay, prepare his Bank Reconcilation Statement as on 31st March, 2018:

		₹
(i)	Bank overdraft as per Pass Book.	16,500
(ii)	Cheques issued but not presented for payment.	8,750
(iii)	Cheques deposited with the Bank but not collected.	10,500
(iv)	Cheques recorded in the Cash Book but not sent to the bank for collection.	2,000
(v)	Payments received from customers directly by the bank.	3,500
(vi)	Bank charges debited in the Pass Book.	200
(vii)	Premium on Life Policy of Sanjay paid by the bank on standing advice.	1,980
(viii)	A bill for ₹ 3,000 (discounted with the bank in February) dishonoured on 31st March, 2018 and noting charges paid by the bank.	100

Discussion

5.	In Fig. 5, O is the centre of the circle. The angle by the arc BCD at the centre is 140°, BC is produced to P. Find ∠DCP.
Answer» In Fig. 5, O is the centre of the circle. The angle by the arc BCD at the centre is 140°, BC is produced to P. Find ∠DCP.

Discussion

6.	A die is thrown 50 times and the table shows the frequency of occurrence of various numbers. Represent the data as bargraph. Dice123456Frequency101264810 [3 MARKS]
Answer» A die is thrown 50 times and the table shows the frequency of occurrence of various numbers. Represent the data as bargraph. $\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$ [3 MARKS]

6.

A die is thrown 50 times and the table shows the frequency of occurrence of various numbers. Represent the data as bargraph. Dice123456Frequency101264810 [3 MARKS]

Answer»

A die is thrown 50 times and the table shows the frequency of occurrence of various numbers. Represent the data as bargraph.

$\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$
[3 MARKS]

Discussion

7.	The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.
Answer» The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.

Discussion

8.	Find the equation of a line whose slope = 0 and y-intercept = -5.
Answer» Find the equation of a line whose slope = 0 and y-intercept = -5.

Discussion

9.	If the curved surface area of a hemisphere is 8π m2, then the radius is.
Answer» If the curved surface area of a hemisphere is $8 π m^{2}$ , then the radius is.

Discussion

10.	Question 13On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and Joining OA, AB, BC and CO, which of the figure is obtained?A) SquareB) RectangleC) TrapeziumD) Rhombus
Answer» Question 13 On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and Joining OA, AB, BC and CO, which of the figure is obtained? A) Square B) Rectangle C) Trapezium D) Rhombus

Discussion

11.	The quadrilateral formed by joining the mid points of a rhombus, parallelogram, rectangle, trapezium and a kite is?
Answer» The quadrilateral formed by joining the mid points of a rhombus, parallelogram, rectangle, trapezium and a kite is?

Discussion

12.	Question 19If xy+yx=−1 (where x,y≠0 ),then the value x3−y3 isA) 1B) -1C) 0D) 12
Answer» Question 19 If $\frac{x}{y} + \frac{y}{x} = - 1$ (where $x, y \neq 0$ ),then the value $x^{3} - y^{3}$ is A) 1 B) -1 C) 0 D) $\frac{1}{2}$

Discussion

13.	In the given figure if BE = CF, then which of these following options is correct?
Answer» In the given figure if BE = CF, then which of these following options is correct?

Discussion

14.	A cylinder is having a volume of 231cm3. If the height of cylinder is 6 cm, a ball will fit inside the cylinder if its radius is
Answer» A cylinder is having a volume of $231 c m^{3} .$ If the height of cylinder is $6 c m,$ a ball will fit inside the cylinder if its radius is

Discussion

15.	Factorization: (2a−3)2−2(2a−3)(a−1)+(a−1)2
Answer» Factorization: $(2 a - 3)^{2} - 2 (2 a - 3) (a - 1) + (a - 1)^{2}$

Discussion

16.	Find the length of hypotenuse of an isosceles right angled triangle having an area of 200 cm 200cm take root 2 is equal to 1.414 1
Answer» Find the length of hypotenuse of an isosceles right angled triangle having an area of 200 cm 200cm take root 2 is equal to 1.414 1

Discussion

17.	Find the area of a figure formed by joining the midpoints of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm.
Answer» Find the area of a figure formed by joining the midpoints of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm.

Discussion

18.	In the figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B=65∘ and ∠C=33∘, find ∠MAN.
Answer» In the figure, AM $⊥$ BC and AN is the bisector of $∠ A$ . If $∠ B$ = $65^{\circ}$ and $∠ C = 33^{\circ}$ , find $∠ M A N .$

18.

In the figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B=65∘ and ∠C=33∘, find ∠MAN.

Answer»

In the figure, AM $⊥$ BC and AN is the bisector of $∠ A$ . If $∠ B$ = $65^{\circ}$ and $∠ C = 33^{\circ}$ , find $∠ M A N .$

Discussion

19.	Question 3 If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is (A) 6 cm (B) 8 cm (C) 10 cm (D) 12 cm
Answer» Question 3 If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is (A) 6 cm (B) 8 cm (C) 10 cm (D) 12 cm

Discussion

20.	If →a,→b,→c are three non-zero vectors, no two of which are collinear, →a+→b is collinear with →c and →b+3→c is collinear with →a, then \|→a+2→b+6→c\| will be equal to
Answer» If $\to a, \to b, \to c$ are three non-zero vectors, no two of which are collinear, $\to a + \to b$ is collinear with $\to c$ and $\to b + 3 \to c$ is collinear with $\to a$ , then $\| \to a + 2 \to b + 6 \to c \|$ will be equal to

Discussion

21.	Question 7 The sides of a triangle are 35cm, 54cm, and 61cm respectively. The length of its longest altitude.
Answer» Question 7 The sides of a triangle are 35cm, 54cm, and 61cm respectively. The length of its longest altitude.

Discussion

22.

The following data gives the production of foodgrains (in thousand tonnes) for some years: Year 1995 1996 1997 1998 1999 2000 Production (in thousand tonnes 120 150 140 180 170 190 Represent the above with the help of a bar graph.

Answer» The following data gives the production of foodgrains (in thousand tonnes) for some years:

Year	1995	1996	1997	1998	1999	2000
Production (in thousand tonnes	120	150	140	180	170	190

Represent the above with the help of a bar graph.

Discussion

23.	ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
Answer» ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

Discussion

24.	What number must me added to x2+73x to make it a perfect square?
Answer» What number must me added to $x^{2} + \frac{7}{3} x$ to make it a perfect square?

Discussion

25.	A diagonal of a rectangle is inclined to one side of the rectangle at 35∘. The acute angle between the diagonals is
Answer» A diagonal of a rectangle is inclined to one side of the rectangle at $35^{\circ}$ . The acute angle between the diagonals is

Discussion

26.	Draw the graph of y=\|x\|+5
Answer» Draw the graph of y=\|x\|+5

Discussion

27.	In the figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of ΔABC, whose centre is O.
Answer» In the figure, ABC is a triangle in which $∠ B A C = 30^{\circ}$ . Show that BC is equal to the radius of the circumcircle of $Δ A B C$ , whose centre is O.

27.

In the figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of ΔABC, whose centre is O.

Answer»

In the figure, ABC is a triangle in which $∠ B A C = 30^{\circ}$ . Show that BC is equal to the radius of the circumcircle of $Δ A B C$ , whose centre is O.

Discussion

28.	Which of the following is an irrational number?
Answer» Which of the following is an irrational number?

Discussion

29.	Draw the graph of the equation x3+y4=1. Also, find the area of the triangle formed by the line and the coordinates axes.
Answer» Draw the graph of the equation $\frac{x}{3} + \frac{y}{4} = 1$ . Also, find the area of the triangle formed by the line and the coordinates axes.

Discussion

30.	Find the volume of the cube by measuring the unit cubes.
Answer» Find the volume of the cube by measuring the unit cubes.

30.

Find the volume of the cube by measuring the unit cubes.

Answer»

Find the volume of the cube by measuring the unit cubes.

Discussion

31.	the area of a right triangle , whose length of the diameter of its circumcircle is 10 cm and the altitude to the hypotenuse is 4.5 cm long
Answer» the area of a right triangle , whose length of the diameter of its circumcircle is 10 cm and the altitude to the hypotenuse is 4.5 cm long

Discussion

32.	Which of the following equations have a unique solution?
Answer» Which of the following equations have a unique solution?

Discussion

33.	The volume of a cylinder is 4312 cm3 and its height is 7 cm. A ball will fit inside the cylinder if its radius is ______.
Answer» The volume of a cylinder is $4312 c m^{3}$ and its height is $7 c m$ . A ball will fit inside the cylinder if its radius is ______.

Discussion

34.	Tap on the shape with the least number of vertices.
Answer» Tap on the shape with the least number of vertices.

Discussion

35.	How many circles can be drawn passing through 3 non-collinear points ?
Answer» How many circles can be drawn passing through 3 non-collinear points ?

Discussion

36.	If PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS, then ar(ΔASR) is _______ 90 cm2?
Answer» If PQRS is a parallelogram whose area is 180 cm² and A is any point on the diagonal QS, then ar(ΔASR) is _______ 90 cm²?

Discussion

37.	Question 2Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
Answer» Question 2 Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Discussion

38.	Draw linear graph for the equation 2x+3y =12. write the coordinates of the point where it intersect the abscissa and ordinate.Also find the area of the figure formed by including why the graph abscissa and ordinate.
Answer» Draw linear graph for the equation 2x+3y =12. write the coordinates of the point where it intersect the abscissa and ordinate.Also find the area of the figure formed by including why the graph abscissa and ordinate.

Discussion

39.	The area of the base of a circular cylinder is 35cm2 and it's height is 8cm. Find the volume of the cylinder?.
Answer» The area of the base of a circular cylinder is $35 c m^{2}$ and it's height is $8 c m$ . Find the volume of the cylinder?.

Discussion

40.	Radius of the given circle is 20 cm, chord AB = chord CD. If OE bisects AB and OF = 16, bisects CD. Find EB 12
Answer» Radius of the given circle is 20 cm, chord AB = chord CD. If OE bisects AB and OF = 16, bisects CD. Find EB 12

Discussion

41.	Question 7The zeroes of the quadratic polynomial x2+99x+127 are(A) both positive(B) both negative(C) one positive and one negative(D) both equal
Answer» Question 7 The zeroes of the quadratic polynomial $x^{2} + 99 x + 127$ are (A) both positive (B) both negative (C) one positive and one negative (D) both equal

Discussion

42.	Write down the (i) abscissa (ii) ordinate (iii) Coordinates of P, Q, R and S as given in the figure: [4 MARKS]
Answer» Write down the (i) abscissa (ii) ordinate (iii) Coordinates of P, Q, R and S as given in the figure: [4 MARKS]

42.

Write down the (i) abscissa (ii) ordinate (iii) Coordinates of P, Q, R and S as given in the figure: [4 MARKS]

Answer»

Write down the (i) abscissa (ii) ordinate (iii) Coordinates of P, Q, R and S as given in the figure: [4 MARKS]

Discussion

43.	In the above figure, ACDF, ABEF and BCDE are parallelograms. Analyse the given figure and choose the correct option(s).
Answer» In the above figure, ACDF, ABEF and BCDE are parallelograms. Analyse the given figure and choose the correct option(s).

Discussion

44.

Krishna and Arjun are partners in a firm. They share profits in the ratio of 4 : 1. They decide to dissolve the firm on 31st March, 2019 at which date their Balance Sheet stood as: Liabilities Amount (₹) Assets Amount (₹) Bank Loan 1,500 Trademarks 1,200 Creditors for Goods 8,000 Machinery 12,000 Bills Payable 500 Furniture 400 Capital A/cs: Stock 6,000 Krishna 16,000 Debtors 9,000 Arjun 6,000 22,000 Less: Provision for Bad Debts 400 8,600 Cash at Bank 2,800 Advertisement Suspense 1,000 32,000 32,000 The realisation shows the following results:(a) Goodwill was sold for ₹ 1,000.(b) Debtors were realised at book value less 10%.(c) Trademarks realised ₹ 800.(d) Machinery and Stock-in-Trade were taken by Krishna for ₹ 14,400 and ₹ 3,600 respectively.(e) An unrecorded asset estimated at ₹ 500 was sold for ₹ 200.(f) Creditors for goods were settled at a discount of ₹ 80. The expenses on realisation were ₹ 800.Prepare Realisation Account, Partners' Capital Accounts and Bank Account.

Answer» Krishna and Arjun are partners in a firm. They share profits in the ratio of 4 : 1. They decide to dissolve the firm on 31st March, 2019 at which date their Balance Sheet stood as:

Liabilities		Amount (₹)	Assets		Amount (₹)
Bank Loan		1,500	Trademarks		1,200
Creditors for Goods		8,000	Machinery		12,000
Bills Payable		500	Furniture		400
Capital A/cs:			Stock		6,000
Krishna	16,000		Debtors	9,000
Arjun	6,000	22,000	Less: Provision for Bad Debts	400	8,600
			Cash at Bank		2,800
			Advertisement Suspense		1,000

		32,000			32,000

The realisation shows the following results:

(a) Goodwill was sold for ₹ 1,000.

(b) Debtors were realised at book value less 10%.

(c) Trademarks realised ₹ 800.

(d) Machinery and Stock-in-Trade were taken by Krishna for ₹ 14,400 and ₹ 3,600 respectively.

(e) An unrecorded asset estimated at ₹ 500 was sold for ₹ 200.

(f) Creditors for goods were settled at a discount of ₹ 80. The expenses on realisation were ₹ 800.

Prepare Realisation Account, Partners' Capital Accounts and Bank Account.

Discussion

45.	The bisector of angle A and angle B of triangle ABC meet at P and PQ,PR are parallel to AC and BC. The perimeter of triangle PQR is 30cm. What is the length of AB.
Answer» The bisector of angle A and angle B of triangle ABC meet at P and PQ,PR are parallel to AC and BC. The perimeter of triangle PQR is 30cm. What is the length of AB.

Discussion

46.	Determine the degree of each of the following polynomials. (i) 4x−5x2+6x32x (ii) y2(y−y3) (iii) (3x−2)(2x3+3x2) (iv) −12x+3 (v) −8 (vi) x2(x4+x2)
Answer» Determine the degree of each of the following polynomials. (i) $\frac{4 x - 5 x^{2} + 6 x^{3}}{2 x}$ (ii) $y^{2} (y - y^{3})$ (iii) $(3 x - 2) (2 x^{3} + 3 x^{2})$ (iv) $- \frac{1}{2} x + 3$ (v) $- 8$ (vi) $x^{2} (x^{4} + x^{2})$

46.

Determine the degree of each of the following polynomials. (i) 4x−5x2+6x32x (ii) y2(y−y3) (iii) (3x−2)(2x3+3x2) (iv) −12x+3 (v) −8 (vi) x2(x4+x2)

Answer»

Determine the degree of each of the following polynomials.

(i) $\frac{4 x - 5 x^{2} + 6 x^{3}}{2 x}$

(ii) $y^{2} (y - y^{3})$

(iii) $(3 x - 2) (2 x^{3} + 3 x^{2})$

(iv) $- \frac{1}{2} x + 3$

(v) $- 8$

(vi) $x^{2} (x^{4} + x^{2})$

Discussion

47.	Mode is
Answer» Mode is

Discussion

48.	In triangle ABC ,DE \|\| BC,AD=1.2 DB=3.6,AE=1.6.What must be the value of EC?
Answer» In triangle ABC ,DE \|\| BC,AD=1.2 DB=3.6,AE=1.6.What must be the value of EC?

Discussion

49.	Let Sn denote the sum of the cubes of first n natural numbers and sn denote the sum of first n natural numbers. Then, write the value of∑r=1nSrsr.
Answer» Let S_n denote the sum of the cubes of first n natural numbers and s_n denote the sum of first n natural numbers. Then, write the value of $\sum_{r = 1}^{n} \frac{S_{r}}{s_{r}}$ .

Discussion

50.	If 5n=125, then =(a) 25(b) 1125(c) 625(d) 15
Answer» If $\sqrt{5^{n}} = 125$ , then = (a) 25 (b) $\frac{1}{125}$ (c) 625 (d) $\frac{1}{5}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

If A1, A2, and A3 denote the areas of three adjacent faces of a cuboid, then its volume is(i) A1 A2 A3(ii) 2A1 A2 A3(iii) A1A2A3(iv) 3A1A2A3

A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:

In Fig. 5, O is the centre of the circle. The angle by the arc BCD at the centre is 140°, BC is produced to P. Find ∠DCP.

A die is thrown 50 times and the table shows the frequency of occurrence of various numbers. Represent the data as bargraph. Dice123456Frequency101264810 [3 MARKS]

The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.

Find the equation of a line whose slope = 0 and y-intercept = -5.

If the curved surface area of a hemisphere is 8π m2, then the radius is.

Question 13On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and Joining OA, AB, BC and CO, which of the figure is obtained?A) SquareB) RectangleC) TrapeziumD) Rhombus

The quadrilateral formed by joining the mid points of a rhombus, parallelogram, rectangle, trapezium and a kite is?

Question 19If xy+yx=−1 (where x,y≠0 ),then the value x3−y3 isA) 1B) -1C) 0D) 12

In the given figure if BE = CF, then which of these following options is correct?

A cylinder is having a volume of 231cm3. If the height of cylinder is 6 cm, a ball will fit inside the cylinder if its radius is

Factorization: (2a−3)2−2(2a−3)(a−1)+(a−1)2

Find the length of hypotenuse of an isosceles right angled triangle having an area of 200 cm 200cm take root 2 is equal to 1.414 1

Find the area of a figure formed by joining the midpoints of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm.

In the figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B=65∘ and ∠C=33∘, find ∠MAN.

Question 3 If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is (A) 6 cm (B) 8 cm (C) 10 cm (D) 12 cm

If →a,→b,→c are three non-zero vectors, no two of which are collinear, →a+→b is collinear with →c and →b+3→c is collinear with →a, then |→a+2→b+6→c| will be equal to

Question 7 The sides of a triangle are 35cm, 54cm, and 61cm respectively. The length of its longest altitude.

The following data gives the production of foodgrains (in thousand tonnes) for some years: Year 1995 1996 1997 1998 1999 2000 Production (in thousand tonnes 120 150 140 180 170 190 Represent the above with the help of a bar graph.

ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

What number must me added to x2+73x to make it a perfect square?

A diagonal of a rectangle is inclined to one side of the rectangle at 35∘. The acute angle between the diagonals is

Draw the graph of y=|x|+5

In the figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of ΔABC, whose centre is O.

Which of the following is an irrational number?

Draw the graph of the equation x3+y4=1. Also, find the area of the triangle formed by the line and the coordinates axes.

Find the volume of the cube by measuring the unit cubes.

the area of a right triangle , whose length of the diameter of its circumcircle is 10 cm and the altitude to the hypotenuse is 4.5 cm long

Which of the following equations have a unique solution?

The volume of a cylinder is 4312 cm3 and its height is 7 cm. A ball will fit inside the cylinder if its radius is ______.

Tap on the shape with the least number of vertices.

How many circles can be drawn passing through 3 non-collinear points ?

If PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS, then ar(ΔASR) is _______ 90 cm2?

Question 2Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Draw linear graph for the equation 2x+3y =12. write the coordinates of the point where it intersect the abscissa and ordinate.Also find the area of the figure formed by including why the graph abscissa and ordinate.

The area of the base of a circular cylinder is 35cm2 and it's height is 8cm. Find the volume of the cylinder?.

Radius of the given circle is 20 cm, chord AB = chord CD. If OE bisects AB and OF = 16, bisects CD. Find EB 12

Question 7The zeroes of the quadratic polynomial x2+99x+127 are(A) both positive(B) both negative(C) one positive and one negative(D) both equal

Write down the (i) abscissa (ii) ordinate (iii) Coordinates of P, Q, R and S as given in the figure: [4 MARKS] ​​

In the above figure, ACDF, ABEF and BCDE are parallelograms. Analyse the given figure and choose the correct option(s).

The bisector of angle A and angle B of triangle ABC meet at P and PQ,PR are parallel to AC and BC. The perimeter of triangle PQR is 30cm. What is the length of AB.

Determine the degree of each of the following polynomials. (i) 4x−5x2+6x32x (ii) y2(y−y3) (iii) (3x−2)(2x3+3x2) (iv) −12x+3 (v) −8 (vi) x2(x4+x2)

Mode is

In triangle ABC ,DE || BC,AD=1.2 DB=3.6,AE=1.6.What must be the value of EC?

Let Sn denote the sum of the cubes of first n natural numbers and sn denote the sum of first n natural numbers. Then, write the value of∑r=1nSrsr.

If 5n=125, then =(a) 25(b) 1125(c) 625(d) 15

Write down the (i) abscissa (ii) ordinate (iii) Coordinates of P, Q, R and S as given in the figure: [4 MARKS]