32581 + Interview Questions in Mathematics

1.	Solve the following quadratic equations by factorization:16x-1=15x+1; x≠0, -1
Answer» Solve the following quadratic equations by factorization: $\frac{16}{x} - 1 = \frac{15}{x + 1}; x \neq 0, - 1$

Discussion

2.	If 1 is a zero of the polynomial P(a) = x2a2 - 2xa + 3x - 2 . Then x = ___________
Answer» If 1 is a zero of the polynomial P(a) = x²a² - 2xa + 3x - 2 . Then x = ___________

Discussion

3.	If D, E and F are respectively the midpoints of sides AB, BC and CA of ΔABC then what is the ratio of the areas of ΔDEF and ΔABC?
Answer» If D, E and F are respectively the midpoints of sides AB, BC and CA of $Δ A B C$ then what is the ratio of the areas of $Δ D E F a n d Δ A B C$ ?

Discussion

4.

Following balances are taken from the books of Niranjan. Prepare Trading and Profit and Loss Account and Balance Sheet for the year ended 31st March, 2019: Particulars ₹ Particulars ₹ Capital 12,00,000 Drawings 2,10,000 Opening Stock 4,50,000 Plant and Machinery 2,40,000 Furniture 15,000 Purchases 29,50,000 Sales 43,50,000 Insurances 15,000 Purchases Return 40,000 Sales Return 70,000 Rent 50,000 Trade Expenses 20,000 Salaries 2,40,000 Wages 4,00,000 Bad Debts 10,000 6% Investments 5,00,000 Sundry Debtors 4,00,000 Sundry Creditors 1,90,000 Bills Payable 8,000 Cash 1,22,000 Advertisement Expenses 60,000 Miscellaneous Income 12,000 Patents 48,000 Adjustments:(i) Closing Stock ₹ 7,50,000.(ii) Depreciate Machinery by 10% and Furniture by 20%.(iii) Wages ₹ 50,000 and salaries ₹ 20,000 are outstanding.(iv) Write off ₹ 50,000 as further Bad Debts and create 5% Provision for Doubtful Debts. Also, create a reserve for discount on Debtors 2%.(v) Investments were made on 1st July, 2018 and no interest has been received so far.

Answer» Following balances are taken from the books of Niranjan. Prepare Trading and Profit and Loss Account and Balance Sheet for the year ended 31st March, 2019:

Particulars	₹	Particulars	₹
Capital	12,00,000	Drawings	2,10,000
Opening Stock	4,50,000	Plant and Machinery	2,40,000
Furniture	15,000	Purchases	29,50,000
Sales	43,50,000	Insurances	15,000
Purchases Return	40,000	Sales Return	70,000
Rent	50,000	Trade Expenses	20,000
Salaries	2,40,000	Wages	4,00,000
Bad Debts	10,000	6% Investments	5,00,000
Sundry Debtors	4,00,000	Sundry Creditors	1,90,000
Bills Payable	8,000	Cash	1,22,000
Advertisement Expenses	60,000	Miscellaneous Income	12,000
Patents	48,000

Adjustments:

(i) Closing Stock ₹ 7,50,000.

(ii) Depreciate Machinery by 10% and Furniture by 20%.

(iii) Wages ₹ 50,000 and salaries ₹ 20,000 are outstanding.

(iv) Write off ₹ 50,000 as further Bad Debts and create 5% Provision for Doubtful Debts. Also, create a reserve for discount on Debtors 2%.

(v) Investments were made on 1st July, 2018 and no interest has been received so far.

Discussion

5.	Find the sum of the first 31 terms of an AP whose n th term is given by 3 + 2n/3
Answer» Find the sum of the first 31 terms of an AP whose n th term is given by 3 + 2n/3

Discussion

6.	Dylan is organizing a curling tournament. The sports complex charges ₹ 116/ h for the ice rental. Dylan has booked it for 7h. He will charge each of the 14 teams in the tournament an entrance fee which is more than per hour charges . How much should he charge from each team in order to make a profit?
Answer» Dylan is organizing a curling tournament. The sports complex charges ₹ 116/ h for the ice rental. Dylan has booked it for 7h. He will charge each of the 14 teams in the tournament an entrance fee which is more than per hour charges . How much should he charge from each team in order to make a profit?

Discussion

7.	Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square?
Answer» Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square?

7.

Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square?

Answer»

Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus.

Is it a square?

Discussion

8.	Consider A = (x+y+z3012) = (−azx+z−y). The value of a is _________________ ___
Answer» Consider A = $(\begin{matrix} x + y + z & 3 0 & 12 \end{matrix})$ = $(\begin{matrix} - a & z x + z & - y \end{matrix})$ . The value of a is _________________ ___

Discussion

9.	A cone is 8.4cm high and radius of its base is 2.1cm . It melted and recast into a sphere . Find the radius of sphere
Answer» A cone is 8.4cm high and radius of its base is 2.1cm . It melted and recast into a sphere . Find the radius of sphere

Discussion

10.	If straight linex cos(alpha) + y sin(alpha) = ptouches the curvex2/a2+ y2/b2= 1, then prove thata2cos2(alpha) + b2sin2(alpha) = p2.
Answer» If straight linex cos(alpha) + y sin(alpha) = ptouches the curvex2/a2+ y2/b2= 1, then prove thata2cos2(alpha) + b2sin2(alpha) = p2.

Discussion

11.	If PT is a tangent at T to a circle whose centre is O and OP=17 cm, OT=8 cm, Find the length of the tangent segment PT.
Answer» If PT is a tangent at T to a circle whose centre is O and OP=17 cm, OT=8 cm, Find the length of the tangent segment PT.

Discussion

12.	If one root of the equation 2x2+ax+6=0 is 3, then find the value of a .
Answer» If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then find the value of $a$ .

Discussion

13.	Find the third vertex of a triangle, if two of its vertices are at (−3, 1) and (0, −2) and the centroid is at the origin.
Answer» Find the third vertex of a triangle, if two of its vertices are at (−3, 1) and (0, −2) and the centroid is at the origin.

Discussion

14.	Solve the following pair of linear equations graphically: 2x+3y=2 and x-y=1
Answer» Solve the following pair of linear equations graphically: 2x+3y=2 and x-y=1

Discussion

15.	The cost of 50 grams of cotton candy is Rs.20. Complete the following table based on this data if weight is directly proportional to price. Weight of cotton candy(In grams)50150210Price in rupees208072 [3 MARKS]
Answer» The cost of 50 grams of cotton candy is Rs.20. Complete the following table based on this data if weight is directly proportional to price. $\begin{matrix} W e i g h t o f c o t t o n c a n d y (I n g r a m s) & 50 & 150 & 210 P r i c e i n r u p e e s & 20 & 80 & 72 \end{matrix}$ [3 MARKS]

Discussion

16.	For what value of 'k' are the following points (7,-2), (5, 1), (3, k) collinear ?
Answer» For what value of 'k' are the following points (7,-2), (5, 1), (3, k) collinear ?

Discussion

17.	5. A bag contains 4 balls. 2 balls are drawn at random and are to be white. What is the probability that all balls are white ?
Answer» 5. A bag contains 4 balls. 2 balls are drawn at random and are to be white. What is the probability that all balls are white ?

Discussion

18.	40. ABCD is a rectangular field. A vertical lamo post of height 12m stands at corner A. If angle of elevation of its top from B is 60 and from C is 45 then area of field is
Answer» 40. ABCD is a rectangular field. A vertical lamo post of height 12m stands at corner A. If angle of elevation of its top from B is 60 and from C is 45 then area of field is

Discussion

19.	The line xa+yb−1ab=0, will meet the y- axis at ____.
Answer» The line $\frac{x}{a} + \frac{y}{b} - \frac{1}{a b} = 0$ , will meet the y- axis at ____.

Discussion

20.	In the given figure, D is a point on side BC of ΔABC such that. Prove that AD is the bisector of ∠BAC.
Answer» In the given figure, D is a point on side BC of ΔABC such that. Prove that AD is the bisector of ∠BAC.

20.

In the given figure, D is a point on side BC of ΔABC such that. Prove that AD is the bisector of ∠BAC.

Answer»

In the given figure, D is a point on side BC of ΔABC such that. Prove that AD is the bisector of ∠BAC.

Discussion

21.	If 81 x2 - k = (9x + 15)(9x - 15), whats the value of k __
Answer» If 81 $x^{2}$ - k = (9x + $\frac{1}{5}$ )(9x - $\frac{1}{5}$ ), whats the value of k __

Discussion

22.	The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio BXAB.
Answer» The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{B X}{A B}$ .

22.

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio BXAB.

Answer»

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{B X}{A B}$ .

Discussion

23.	Show that the lines 2x+5y=1, x-3y=6 and x+5y+2 are concurrent?
Answer» Show that the lines 2x+5y=1, x-3y=6 and x+5y+2 are concurrent?

Discussion

24.	Reversing the digits of a two digit number the number obtained is 9 less than 3 times the original number if the difference of these two numbers is 45 find the original number.
Answer» Reversing the digits of a two digit number the number obtained is 9 less than 3 times the original number if the difference of these two numbers is 45 find the original number.

Discussion

25.	The catalog price of a Music system is Rs. 24000. The shopkeeper gives a discount of 8% on the list price. He gives a further off season discount of 5% on the balance. But sales tax at 10% is charged on the remaining amount. Then final price he has to pay for music system is
Answer» The catalog price of a Music system is Rs. 24000. The shopkeeper gives a discount of 8% on the list price. He gives a further off season discount of 5% on the balance. But sales tax at 10% is charged on the remaining amount. Then final price he has to pay for music system is

Discussion

26.	In the following figure, ABC is a right angled triangle in which ∠A = 90°, AB = 21 cm and AC = 28 cm. Semi-circles are described on AB, BC and AC as diameters. Find the area of the shaded region.
Answer» In the following figure, ABC is a right angled triangle in which ∠A = 90°, AB = 21 cm and AC = 28 cm. Semi-circles are described on AB, BC and AC as diameters. Find the area of the shaded region.

Discussion

27.	Find the discriminant of each of the following equations:(i) 2x2-7x+6=0(ii) 3x2-2x+8=0 (iii) 2x2-52x+4=0(iv) 3x2+22x-23=0(v) x-12x-1=0(vi) 1-x=2x22x2−7x+6=02x2−7x+6=0
Answer» Find the discriminant of each of the following equations: (i) $2 x^{2} - 7 x + 6 = 0$ (ii) $3 x^{2} - 2 x + 8 = 0$ (iii) $2 x^{2} - 5 \sqrt{2} x + 4 = 0$ (iv) $\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$ (v) $(x - 1) (2 x - 1) = 0$ (vi) $1 - x = 2 x^{2}$ 2x2−7x+6=02x2−7x+6=0

Discussion

28.	what is meant by the term †an gent?
Answer» what is meant by the term †an gent?

Discussion

29.	In the given figure, O is the centre of a circle and PT is the tangent to the circle. If PQ is a chord such that ∠ QPT = 50o then ∠ POQ = ? (a) 100o (b) 90o (c) 80o (d) 75o
Answer» In the given figure, O is the centre of a circle and PT is the tangent to the circle. If PQ is a chord such that $∠$ QPT = $50^{o}$ then $∠$ POQ = ? (a) $100^{o}$ (b) $90^{o}$ (c) $80^{o}$ (d) $75^{o}$

29.

In the given figure, O is the centre of a circle and PT is the tangent to the circle. If PQ is a chord such that ∠ QPT = 50o then ∠ POQ = ? (a) 100o (b) 90o (c) 80o (d) 75o

Answer»

In the given figure, O is the centre of a circle and PT is the tangent to the circle. If PQ is a chord such that $∠$ QPT = $50^{o}$ then $∠$ POQ = ?

(a) $100^{o}$ (b) $90^{o}$ (c) $80^{o}$ (d) $75^{o}$

Discussion

30.	Question 7 Which of the following figures satisfy the following property? -Has two pairs of congruent adjacent sides.
Answer» Question 7 Which of the following figures satisfy the following property? -Has two pairs of congruent adjacent sides.

Discussion

31.	The angles of depression of the top and bottom of a tower as seen from the top of a 60√3-m-high cliff are 45∘ and 60∘ respectively. Find the height of the tower.
Answer» The angles of depression of the top and bottom of a tower as seen from the top of a $60 \sqrt{3}$ -m-high cliff are $45^{\circ} a n d 60^{\circ}$ respectively. Find the height of the tower.

Discussion

32.	How do we identify two points P and Q on a line segment AB such that AP : PQ = 1 : 2 and PQ : QB = 4 : 5?
Answer» How do we identify two points P and Q on a line segment AB such that AP : PQ = 1 : 2 and PQ : QB = 4 : 5?

Discussion

33.	3. ABCD is a parallelogram and APQ is a straight line meeting BC at P and DC produced at Q. Prove that Bp×DQ=AB×BC.
Answer» 3. ABCD is a parallelogram and APQ is a straight line meeting BC at P and DC produced at Q. Prove that Bp×DQ=AB×BC.

Discussion

34.	Represent ((A’∪ B’) – A )’ using a Venn diagram
Answer» Represent ((A’ $\cup$ B’) – A )’ using a Venn diagram

Discussion

35.	Find the area of the region bounded by the following hyperboles using integration:y²-ax=a²y²+ax=a²
Answer» Find the area of the region bounded by the following hyperboles using integration: y²-ax=a² y²+ax=a²

Discussion

36.	For the following set of numbers, find the median: [3 MARKS] 10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9, 15
Answer» For the following set of numbers, find the median: [3 MARKS] 10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9, 15

Discussion

37.	Find the value of x, y in the pair of equation given below, where x≠0 & y≠0.2x+3y=135x−4y=−2
Answer» Find the value of x, y in the pair of equation given below, where $x \neq 0 & y \neq 0$ . $\frac{2}{x} + \frac{3}{y} = 13$ $\frac{5}{x} - \frac{4}{y} = - 2$

Discussion

38.	Find the two natural numbers which differ by 5 and the sum of whose squares is 97.
Answer» Find the two natural numbers which differ by 5 and the sum of whose squares is 97.

Discussion

39.	A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be(a) 4(b) 3(c) 6(d) 8
Answer» A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be (a) 4 (b) 3 (c) 6 (d) 8

Discussion

40.	If the points (−1,2,1), (2,1,0), (λ,3,2) are collinear, then which of the following can be correct ?
Answer» If the points $(- 1, 2, 1), (2, 1, 0), (λ, 3, 2)$ are collinear, then which of the following can be correct ?

Discussion

41.	Evaluate:5cos260°+4sec230°-tan245°sin230°+cos230°
Answer» Evaluate: $\frac{5 \cos^{2} 60 ° + 4 \sec^{2} 30 ° - \tan^{2} 45 °}{\sin^{2} 30 ° + \cos^{2} 30 °}$

Discussion

42.	Question 16 A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60∘ at its centre. Find the radius of the circle.
Answer» Question 16 A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of $60^{\circ}$ at its centre. Find the radius of the circle.

Discussion

43.	Question 3 (i) Find the roots of the following equations: (i) x−1x=3,x≠0
Answer» Question 3 (i) Find the roots of the following equations: (i) $x - \frac{1}{x} = 3, x \neq 0$

Discussion

44.	Question 92y+53=263−y
Answer» Question 9 $2 y + \frac{5}{3} = \frac{26}{3} - y$

Discussion

45.	2.13113111311113 ... is (a) an integer (b) a rational number (c) an irrational number (d) none of these
Answer» 2.13113111311113 ... is (a) an integer (b) a rational number (c) an irrational number (d) none of these

45.

2.13113111311113 ... is (a) an integer (b) a rational number (c) an irrational number (d) none of these

Answer»

2.13113111311113 ... is

(a) an integer (b) a rational number

(c) an irrational number (d) none of these

Discussion

46.	1.If the segment joining the points (a, b), (c, d) subtends a right angle at the origin, then(1) ac -bd-0(3) ab +cd0(2) ac bd -0(4) ab - cd 0
Answer» 1. If the segment joining the points (a, b), (c, d) subtends a right angle at the origin, then (1) ac -bd-0 (3) ab +cd0 (2) ac bd -0 (4) ab - cd 0

Discussion

47.	Mohan takes 16 days less than Manoj to do a piece of work. If both working together can do it in 15 days, in how many days will Mohan along complete the work ?
Answer» Mohan takes 16 days less than Manoj to do a piece of work. If both working together can do it in 15 days, in how many days will Mohan along complete the work ?

Discussion

48.	Using factor theorem, show that g(x) is a factor of p(x), whenp(x) = x4 – x2 – 12, g(x) = x + 2
Answer» Using factor theorem, show that g(x) is a factor of p(x), when p(x) = x⁴ – x² – 12, g(x) = x + 2

Discussion

49.	A die is numbered in such a way that its faces show the number 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:What is the probability that the total score is(i) even? (ii) 6? (iii) at least 6?
Answer» A die is numbered in such a way that its faces show the number 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is (i) even? (ii) 6? (iii) at least 6?

49.

A die is numbered in such a way that its faces show the number 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:What is the probability that the total score is(i) even? (ii) 6? (iii) at least 6?

Answer»

A die is numbered in such a way that its faces show the number 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:

What is the probability that the total score is

(i) even? (ii) 6? (iii) at least 6?

Discussion

50.	The image of point (4, -6) under the operation Mx.My is
Answer» The image of point (4, -6) under the operation $M_{x} . M_{y}$ is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Solve the following quadratic equations by factorization:16x-1=15x+1; x≠0, -1

If 1 is a zero of the polynomial P(a) = x2a2 - 2xa + 3x - 2 . Then x = ___________

If D, E and F are respectively the midpoints of sides AB, BC and CA of ΔABC then what is the ratio of the areas of ΔDEF and ΔABC?

Find the sum of the first 31 terms of an AP whose n th term is given by 3 + 2n/3

Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square?

Consider A = (x+y+z3012) = (−azx+z−y). The value of a is _________________ ___

A cone is 8.4cm high and radius of its base is 2.1cm . It melted and recast into a sphere . Find the radius of sphere

If straight linex cos(alpha) + y sin(alpha) = ptouches the curvex2/a2+ y2/b2= 1, then prove thata2cos2(alpha) + b2sin2(alpha) = p2.

If PT is a tangent at T to a circle whose centre is O and OP=17 cm, OT=8 cm, Find the length of the tangent segment PT.

If one root of the equation 2x2+ax+6=0 is 3, then find the value of a .

Find the third vertex of a triangle, if two of its vertices are at (−3, 1) and (0, −2) and the centroid is at the origin.

Solve the following pair of linear equations graphically: 2x+3y=2 and x-y=1

The cost of 50 grams of cotton candy is Rs.20. Complete the following table based on this data if weight is directly proportional to price. Weight of cotton candy(In grams)50150210Price in rupees208072 [3 MARKS]

For what value of 'k' are the following points (7,-2), (5, 1), (3, k) collinear ?

5. A bag contains 4 balls. 2 balls are drawn at random and are to be white. What is the probability that all balls are white ?

40. ABCD is a rectangular field. A vertical lamo post of height 12m stands at corner A. If angle of elevation of its top from B is 60 and from C is 45 then area of field is

The line xa+yb−1ab=0, will meet the y- axis at ____.

In the given figure, D is a point on side BC of ΔABC such that. Prove that AD is the bisector of ∠BAC.

If 81 x2 - k = (9x + 15)(9x - 15), whats the value of k __

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio BXAB.

Show that the lines 2x+5y=1, x-3y=6 and x+5y+2 are concurrent?

Reversing the digits of a two digit number the number obtained is 9 less than 3 times the original number if the difference of these two numbers is 45 find the original number.

The catalog price of a Music system is Rs. 24000. The shopkeeper gives a discount of 8% on the list price. He gives a further off season discount of 5% on the balance. But sales tax at 10% is charged on the remaining amount. Then final price he has to pay for music system is

In the following figure, ABC is a right angled triangle in which ∠A = 90°, AB = 21 cm and AC = 28 cm. Semi-circles are described on AB, BC and AC as diameters. Find the area of the shaded region.

Find the discriminant of each of the following equations:(i) 2x2-7x+6=0(ii) 3x2-2x+8=0 (iii) 2x2-52x+4=0(iv) 3x2+22x-23=0(v) x-12x-1=0(vi) 1-x=2x22x2−7x+6=02x2−7x+6=0

what is meant by the term †an gent?

In the given figure, O is the centre of a circle and PT is the tangent to the circle. If PQ is a chord such that ∠ QPT = 50o then ∠ POQ = ? (a) 100o (b) 90o (c) 80o (d) 75o

Question 7 Which of the following figures satisfy the following property? -Has two pairs of congruent adjacent sides.

The angles of depression of the top and bottom of a tower as seen from the top of a 60√3-m-high cliff are 45∘ and 60∘ respectively. Find the height of the tower.

How do we identify two points P and Q on a line segment AB such that AP : PQ = 1 : 2 and PQ : QB = 4 : 5?

3. ABCD is a parallelogram and APQ is a straight line meeting BC at P and DC produced at Q. Prove that Bp×DQ=AB×BC.

Represent ((A’∪ B’) – A )’ using a Venn diagram

Find the area of the region bounded by the following hyperboles using integration:y²-ax=a²y²+ax=a²

For the following set of numbers, find the median: [3 MARKS] 10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9, 15

Find the value of x, y in the pair of equation given below, where x≠0 &amp; y≠0.2x+3y=135x−4y=−2

Find the two natural numbers which differ by 5 and the sum of whose squares is 97.

A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be(a) 4(b) 3(c) 6(d) 8

If the points (−1,2,1), (2,1,0), (λ,3,2) are collinear, then which of the following can be correct ?

Evaluate:5cos260°+4sec230°-tan245°sin230°+cos230°

Question 16 A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60∘ at its centre. Find the radius of the circle.

Question 3 (i) Find the roots of the following equations: (i) x−1x=3,x≠0

Question 92y+53=263−y

2.13113111311113 ... is (a) an integer (b) a rational number (c) an irrational number (d) none of these

1.If the segment joining the points (a, b), (c, d) subtends a right angle at the origin, then(1) ac -bd-0(3) ab +cd0(2) ac bd -0(4) ab - cd 0

Mohan takes 16 days less than Manoj to do a piece of work. If both working together can do it in 15 days, in how many days will Mohan along complete the work ?

Using factor theorem, show that g(x) is a factor of p(x), whenp(x) = x4 – x2 – 12, g(x) = x + 2

The image of point (4, -6) under the operation Mx.My is

Consider A = (x+y+z3012) = (−azx+z−y). The value of a is _______________ _

Find the value of x, y in the pair of equation given below, where x≠0 & y≠0.2x+3y=135x−4y=−2