24740 + Interview Questions in Mathematics

1.	The values of x2 for x > -3 is set of:
Answer» The values of $x^{2}$ for x > -3 is set of:

Discussion

2.	Find the value of 'a' so that (x – 1) is the factor of x2 + a + 1
Answer» Find the value of 'a' so that (x – 1) is the factor of x² + a + 1

Discussion

3.	M is the midpoint of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Prove that QL = 2QN.
Answer» M is the midpoint of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Prove that QL = 2QN.

Discussion

4.	5. ABC is a triangle angle B is 90' .D is a midpoint point of AB. AB is a Pcm and AC is Qcm find sin
Answer» 5. ABC is a triangle angle B is 90' .D is a midpoint point of AB. AB is a Pcm and AC is Qcm find sin

Discussion

5.	five times a number is equal to 300% increase in 60.if one fourth of the same number is equal to 80%decrease in other number then what is the other number
Answer» five times a number is equal to 300% increase in 60.if one fourth of the same number is equal to 80%decrease in other number then what is the other number

Discussion

6.	If semi perimetre of a triangle is132 cm and the product of their differences between semiperimetre and the respective sides is 13200cm.Find its area.
Answer» If semi perimetre of a triangle is132 cm and the product of their differences between semiperimetre and the respective sides is 13200cm.Find its area.

Discussion

7.	Rationalising √2+√3√3−√2 will give __________.
Answer» Rationalising $\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{2}}$ will give __________.

Discussion

8.	Without actually performing the long division, state whether 151600 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Answer» Without actually performing the long division, state whether $\frac{15}{1600}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Discussion

9.	The zeros of the polynomial p(x) = 2x2 + 7x – 4 are(a) 4, -12(b) 4, 12 (c) -4, 12(d) -4, -12
Answer» The zeros of the polynomial p(x) = 2x² + 7x – 4 are (a) $4, \frac{- 1}{2}$ (b) $4, \frac{1}{2}$ (c) $- 4, \frac{1}{2}$ (d) $- 4, \frac{- 1}{2}$

Discussion

10.	The point Q(-3, -2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.
Answer» The point Q( $-$ 3, $-$ 2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.

Discussion

11.

Prepare Trading and Profit and Loss Account and Balance Sheet of Jagat Shah as at 31st March, 2019 from the following balances: ₹ ₹ Capital (Cr.) 3,60,000 Salaries 60,000 Machinery 70,000 General Expenses 20,000 Sales 8,20,000 Rent 50,000 Purchases 4,00,000 Purchases Return 5,000 Sales Return 10,000 Debtors 3,00,000 Stock on 1st April, 2018 1,00,000 Cash 40,000 Drawings 40,000 Carriage Outwards 20,000 Wages 1,00,000 Advertising 20,000 Carriage Inwards 5,000 Creditors 50,000 The Closing Stock was valued at ₹ 2,00,000.

Answer» Prepare Trading and Profit and Loss Account and Balance Sheet of Jagat Shah as at 31st March, 2019 from the following balances:

	₹		₹
Capital (Cr.)	3,60,000	Salaries	60,000
Machinery	70,000	General Expenses	20,000
Sales	8,20,000	Rent	50,000
Purchases	4,00,000	Purchases Return	5,000
Sales Return	10,000	Debtors	3,00,000
Stock on 1st April, 2018	1,00,000	Cash	40,000
Drawings	40,000	Carriage Outwards	20,000
Wages	1,00,000	Advertising	20,000
Carriage Inwards	5,000	Creditors	50,000

The Closing Stock was valued at ₹ 2,00,000.

Discussion

12.	What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?
Answer» What must be subtracted from x³ − 6x² − 15x + 80 so that the result is exactly divisible by x² + x − 12?

Discussion

13.	Check whether √3+30 is an irrational number or not.
Answer» Check whether $\sqrt{3}$ +30 is an irrational number or not.

Discussion

14.	△ABC is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of ∠DCB?
Answer» $△ A B C$ is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of $∠ D C B$ ?

Discussion

15.	For real x, let f(x)=x3+5x+1, then
Answer» For real $x$ , let $f (x) = x^{3} + 5 x + 1$ , then

Discussion

16.	For what value of PQ does A (a,a), B (-a,-a) and C (Pa,Qa) form the vertices of an equilateral triangle?
Answer» For what value of $\frac{P}{Q}$ does A (a,a), B (-a,-a) and C (Pa,Qa) form the vertices of an equilateral triangle?

Discussion

17.	Prove that ⇒ar(DCXY)=911 ar(XYBA)
Answer» Prove that $\Rightarrow a r (D C X Y) = \frac{9}{11} a r (X Y B A)$

Discussion

18.	If cos(A-B) = 3/5 and tanAtanB = 2 then (a) cosAcosB= 1/5 (c) cos(A+B)= -1/5 (b) sinAsinB= 2/5 (d) sinAsinB=4/5
Answer» If cos(A-B) = 3/5 and tanAtanB = 2 then (a) cosAcosB= 1/5 (c) cos(A+B)= -1/5 (b) sinAsinB= 2/5 (d) sinAsinB=4/5

18.

If cos(A-B) = 3/5 and tanAtanB = 2 then (a) cosAcosB= 1/5 (c) cos(A+B)= -1/5 (b) sinAsinB= 2/5 (d) sinAsinB=4/5

Answer»

If cos(A-B) = 3/5 and tanA*tanB = 2 then

(a) cosA*cosB= 1/5 (c) cos(A+B)= -1/5

(b) sinA*sinB= 2/5 (d) sinA*sinB=4/5

Discussion

19.	Find all polynomials {x • P(x-1) = (x-15) • P(x)
Answer» Find all polynomials {x • P(x-1) = (x-15) • P(x)

Discussion

20.	The linear equation 3x - 5y = 15 has (a) a unique solution (b) two solutions (c) infinitely many solutions (d) no solution
Answer» The linear equation 3x - 5y = 15 has (a) a unique solution (b) two solutions (c) infinitely many solutions (d) no solution

20.

The linear equation 3x - 5y = 15 has (a) a unique solution (b) two solutions (c) infinitely many solutions (d) no solution

Answer»

The linear equation 3x - 5y = 15 has

(a) a unique solution

(b) two solutions

(c) infinitely many solutions

(d) no solution

Discussion

21.	Note Use π=227, unless stated otherwise.A man uses a piece of canvas having an area of 551 m2, to make a conical tent of base radius 7 m. Assuming that all the stitching margins and wastage incurred while cutting, amount to approximately 1 m2, find the volume of the tent that can be made with it.
Answer» Note Use $π = \frac{22}{7}$ , unless stated otherwise. A man uses a piece of canvas having an area of 551 m², to make a conical tent of base radius 7 m. Assuming that all the stitching margins and wastage incurred while cutting, amount to approximately 1 m², find the volume of the tent that can be made with it.

Discussion

22.	solve following by substitution method: ax(1/a-b - 1/a+b) + cy(1/b-a - 1/b+a) = 2a+b
Answer» solve following by substitution method: ax(1/a-b - 1/a+b) + cy(1/b-a - 1/b+a) = 2a+b

Discussion

23.	Écoutez le dialogue entre Pascal et Roger et répondez aux questions.1. Est-ce que Roger fait le devoir de maths?2. Que fait Roger le soir?3. Est-ce que Roger est d'accord de l'idée de Pascal?
Answer» Écoutez le dialogue entre Pascal et Roger et répondez aux questions. 1. Est-ce que Roger fait le devoir de maths? 2. Que fait Roger le soir? 3. Est-ce que Roger est d'accord de l'idée de Pascal?

Discussion

24.	The relation between the number of books read (y) and the number of days(x) is given by y = 2x. Which of the following table of data is plotted in the given graph?
Answer» The relation between the number of books read (y) and the number of days(x) is given by y = 2x. Which of the following table of data is plotted in the given graph?

Discussion

25.	Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary.Statement 2: When two lines intersect each other, angles forming linear pair are supplementary.Choose the correct option.
Answer» Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary. Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary. Choose the correct option.

25.

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary.Statement 2: When two lines intersect each other, angles forming linear pair are supplementary.Choose the correct option.

Answer»

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose the correct option.

Discussion

26.	ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that (i) ABCD is a square, (ii) diagonal BD bisects ∠B as well as ∠D.
Answer» ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that (i) ABCD is a square, (ii) diagonal BD bisects ∠B as well as ∠D.

Discussion

27.	1. Let f:[-2,2]→ R be a continuous function such that f(x) assumes only irrational values. If f(\sqrt{}2)=\sqrt{}2, then
Answer» 1. Let f:[-2,2]→ R be a continuous function such that f(x) assumes only irrational values. If f(\sqrt{}2)=\sqrt{}2, then

Discussion

28.	If x=3+√2 then the value of x−1x is rational or irrational
Answer» If $x = 3 + \sqrt{2}$ then the value of $x - \frac{1}{x}$ is rational or irrational

Discussion

29.	54. A fixed point is at a perpendicular distance 'a' from a fixed straight line and a point moves so that its distance from the fixed point is always equal to its distance from the fixed line.Find the equation to its locus , the Axis of coordinates being drawn through the fixed point and being parallel and perpendicular to the given line.
Answer» 54. A fixed point is at a perpendicular distance 'a' from a fixed straight line and a point moves so that its distance from the fixed point is always equal to its distance from the fixed line.Find the equation to its locus , the Axis of coordinates being drawn through the fixed point and being parallel and perpendicular to the given line.

Discussion

30.	In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 cm. Find the area of the shaded region in cm2.
Answer» In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 $c m$ . Find the area of the shaded region in $c m^{2}$ .

30.

In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 cm. Find the area of the shaded region in cm2.

Answer»

In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 $c m$ . Find the area of the shaded region in $c m^{2}$ .

Discussion

31.	Using factor theorem, factorize each of the following polynomials:x3 + 6x2 + 11x + 6
Answer» Using factor theorem, factorize each of the following polynomials: x³ + 6x² + 11x + 6

Discussion

32.	The eigen values and the corresponding eigen vectors of a 2×2 matrix are given byEigen value Eigen vector I1=8 v1=[11]I2=8 v2=[1−1]The matrix is
Answer» The eigen values and the corresponding eigen vectors of a $2 \times 2$ matrix are given by Eigen value Eigen vector $I_{1} = 8$ $v_{1} = [\begin{matrix} 11 \end{matrix}]$ $I_{2} = 8$ $v_{2} = [\begin{matrix} 1 - 1 \end{matrix}]$ The matrix is

Discussion

33.	In the following figure, AE = AD, ∠BAE=∠CAD. Prove that AB = AC.
Answer» In the following figure, AE = AD, $∠ B A E = ∠ C A D$ . Prove that AB = AC.

Discussion

34.	Solve the following pair of equations:2x+y=73x+2y=12Choose the correct answer from the given options.
Answer» Solve the following pair of equations: $2 x + y = 7$ $3 x + 2 y = 12$ Choose the correct answer from the given options.

Discussion

35.	In square ABCD, P and Q are mid-point of AB and CD respectively. If AB = 8cm and PQ and BD intersect at O, then find area of ΔOPB.
Answer» In square ABCD, P and Q are mid-point of AB and CD respectively. If AB = 8cm and PQ and BD intersect at O, then find area of ΔOPB.

Discussion

36.	The components in a segment are
Answer» The components in a segment are

Discussion

37.	If p(x)=5x−4x2+3 then p(−1)=? (a) 2 (b) -2 (c) 6 (d) -6
Answer» If $p (x) = 5 x - 4 x^{2} + 3$ then $p (- 1) = ?$ (a) 2 (b) -2 (c) 6 (d) -6

Discussion

38.	In ∆XYZ, m∠Y = 90°. What kind of a pair do ∠X and ∠Z make?
Answer» In ∆XYZ, m∠Y = 90^°. What kind of a pair do ∠X and ∠Z make?

Discussion

39.	Question 7Write whether the following statement is True or False?The graph of every linear equation in two variables need not be a line.
Answer» Question 7 Write whether the following statement is True or False? The graph of every linear equation in two variables need not be a line.

Discussion

40.	AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.
Answer» AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.

40.

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.

Answer»

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.

Discussion

41.	Question 4Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).
Answer» Question 4 Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).

Discussion

42.	7. Which of the following is not a square planar complex? 1)[Cu(CN)4]-2 2)[PtCl4]-2 3)[Cu(H2O)4]+2 4)[Ni(Cl)4]-2
Answer» 7. Which of the following is not a square planar complex? 1)[Cu(CN)4]-2 2)[PtCl4]-2 3)[Cu(H2O)4]+2 4)[Ni(Cl)4]-2

Discussion

43.	Factorize using remainder theorem 6x3−25x2+32x−12
Answer» Factorize using remainder theorem $6 x^{3} - 25 x^{2} + 32 x - 12$

43.

Factorize using remainder theorem 6x3−25x2+32x−12

Answer»

Factorize using remainder theorem

$6 x^{3} - 25 x^{2} + 32 x - 12$

Discussion

44.	Find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high.
Answer» Find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high.

Discussion

45.	Find the quotient obtained when x3−3x2+x+2 is divided by x−2.
Answer» Find the quotient obtained when $x^{3} - 3 x^{2} + x + 2$ is divided by $x - 2$ .

Discussion

46.	Question 100(i)Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68How many classes are there in the frequency distribution table ?
Answer» Question 100(i) Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included): 30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68 How many classes are there in the frequency distribution table ?

46.

Question 100(i)Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68How many classes are there in the frequency distribution table ?

Answer»

Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,

53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68

How many classes are there in the frequency distribution table ?

Discussion

47.	Which of the following is the factor of the given polynomial ?8x3+27y3+36x2y+54xy2
Answer» Which of the following is the factor of the given polynomial ? $8 x^{3} + 27 y^{3} + 36 x^{2} y + 54 x y^{2}$

Discussion

48.	Locate the points A (1, 2), B (3, 4) and C (5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.
Answer» Locate the points A (1, 2), B (3, 4) and C (5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.

Discussion

49.	1. 24000 blood donors were registered with red cross at Kolkata. The number of donors increased at the rate of 5every six months. Find the time period at the end of which the total number of blood donors becomes 27783.
Answer» 1. 24000 blood donors were registered with red cross at Kolkata. The number of donors increased at the rate of 5every six months. Find the time period at the end of which the total number of blood donors becomes 27783.

Discussion

50.	The angle A, B, C and D of a quadrilateral are in the ratio 1 : 2 : 4 : 5. If bisectors of ∠C and ∠D meet of O, the ∠COD = __________.
Answer» The angle A, B, C and D of a quadrilateral are in the ratio 1 : 2 : 4 : 5. If bisectors of ∠C and ∠D meet of O, the ∠COD = __________.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The values of x2 for x &gt; -3 is set of:

Find the value of 'a' so that (x – 1) is the factor of x2 + a + 1

M is the midpoint of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Prove that QL = 2QN.

5. ABC is a triangle angle B is 90' .D is a midpoint point of AB. AB is a Pcm and AC is Qcm find sin

five times a number is equal to 300% increase in 60.if one fourth of the same number is equal to 80%decrease in other number then what is the other number

If semi perimetre of a triangle is132 cm and the product of their differences between semiperimetre and the respective sides is 13200cm.Find its area.

Rationalising √2+√3√3−√2 will give __________.

Without actually performing the long division, state whether 151600 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

The zeros of the polynomial p(x) = 2x2 + 7x – 4 are(a) 4, -12(b) 4, 12 (c) -4, 12(d) -4, -12

The point Q(-3, -2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.

What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?

Check whether √3+30 is an irrational number or not.

△ABC is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of ∠DCB?

For real x, let f(x)=x3+5x+1, then

For what value of PQ does A (a,a), B (-a,-a) and C (Pa,Qa) form the vertices of an equilateral triangle?

Prove that ⇒ar(DCXY)=911 ar(XYBA)

If cos(A-B) = 3/5 and tanA*tanB = 2 then (a) cosA*cosB= 1/5 (c) cos(A+B)= -1/5 (b) sinA*sinB= 2/5 (d) sinA*sinB=4/5

Find all polynomials {x • P(x-1) = (x-15) • P(x)

The linear equation 3x - 5y = 15 has (a) a unique solution (b) two solutions (c) infinitely many solutions (d) no solution

Note Use π=227, unless stated otherwise.A man uses a piece of canvas having an area of 551 m2, to make a conical tent of base radius 7 m. Assuming that all the stitching margins and wastage incurred while cutting, amount to approximately 1 m2, find the volume of the tent that can be made with it.

solve following by substitution method: ax(1/a-b - 1/a+b) + cy(1/b-a - 1/b+a) = 2a+b

Écoutez le dialogue entre Pascal et Roger et répondez aux questions.1. Est-ce que Roger fait le devoir de maths?2. Que fait Roger le soir?3. Est-ce que Roger est d'accord de l'idée de Pascal?

The relation between the number of books read (y) and the number of days(x) is given by y = 2x. Which of the following table of data is plotted in the given graph?

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary.Statement 2: When two lines intersect each other, angles forming linear pair are supplementary.Choose the correct option.

ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that (i) ABCD is a square, (ii) diagonal BD bisects ∠B as well as ∠D.

1. Let f:[-2,2]→ R be a continuous function such that f(x) assumes only irrational values. If f(\sqrt{}2)=\sqrt{}2, then

If x=3+√2 then the value of x−1x is rational or irrational

In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 cm. Find the area of the shaded region in cm2.

Using factor theorem, factorize each of the following polynomials:x3 + 6x2 + 11x + 6

The eigen values and the corresponding eigen vectors of a 2×2 matrix are given byEigen value Eigen vector I1=8 v1=[11]I2=8 v2=[1−1]The matrix is

In the following figure, AE = AD, ∠BAE=∠CAD. Prove that AB = AC.

Solve the following pair of equations:2x+y=73x+2y=12Choose the correct answer from the given options.

In square ABCD, P and Q are mid-point of AB and CD respectively. If AB = 8cm and PQ and BD intersect at O, then find area of ΔOPB.

The components in a segment are

If p(x)=5x−4x2+3 then p(−1)=? (a) 2 (b) -2 (c) 6 (d) -6

In ∆XYZ, m∠Y = 90°. What kind of a pair do ∠X and ∠Z make?

Question 7Write whether the following statement is True or False?The graph of every linear equation in two variables need not be a line.

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A &gt; ∠C and ∠B &gt; ∠D.

Question 4Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).

7. Which of the following is not a square planar complex? 1)[Cu(CN)4]-2 2)[PtCl4]-2 3)[Cu(H2O)4]+2 4)[Ni(Cl)4]-2

Factorize using remainder theorem 6x3−25x2+32x−12

Find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high.

Find the quotient obtained when x3−3x2+x+2 is divided by x−2.

Which of the following is the factor of the given polynomial ?8x3+27y3+36x2y+54xy2

Locate the points A (1, 2), B (3, 4) and C (5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.

1. 24000 blood donors were registered with red cross at Kolkata. The number of donors increased at the rate of 5every six months. Find the time period at the end of which the total number of blood donors becomes 27783.

The angle A, B, C and D of a quadrilateral are in the ratio 1 : 2 : 4 : 5. If bisectors of ∠C and ∠D meet of O, the ∠COD = __________.

The values of x2 for x > -3 is set of:

If cos(A-B) = 3/5 and tanAtanB = 2 then (a) cosAcosB= 1/5 (c) cos(A+B)= -1/5 (b) sinAsinB= 2/5 (d) sinAsinB=4/5

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.