Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

A normal is drawn at a point P(x, y) of a curve. It meets the x-axis at Q. If PQ is of constant

A. length k. Then what is the differential equation describing such curve?
B. y(dy/dx) = ± √(k2 + x2)
C. y(dy/dx) = ± √(k2 – 2y2)
D. y(dy/dx) = ± √(k2 – y2)
E. Depends on the value of k
Answer» D. y(dy/dx) = ± √(k2 – y2)
Discussion
2.

What is the solution of the equation(y + x(√xy)(x + y))dx – (y + y(√xy)(x + y))dy = 0?

A. x2 + y2 = 2tan-1(√(y/x)) + c
B. x2 + y2 = 4tan-1(√(y/x)) + c
C. x2 + y2 = tan-1(√(y/x)) + c
D. x2 + y2 = 2tan-1(√(x/y)) + c
Answer» C. x2 + y2 = tan-1(√(y/x)) + c
Discussion
3.

What will be the value of x(x – 1)dy/dx – y = x2(x – 1)2?

A. xy = (x + 1)(x3/3 + c)
B. depends on x
C. depends on y
D. xy = (x – 1)(x3/3 + c)
Answer» E.
Discussion
4.

What will be the value of the differential equation dy/dx = (x + y)2/(x + 2)(y – 2)?

A. keY/X where, X = x + 2 and Y = y – 2
B. ke2Y/X where, X = x + 2 and Y = y – 2
C. ke2Y/X where, X = x and Y = 2y
D. ke2X/Y where, X = x – 2 and Y = y + 2
Answer» C. ke2Y/X where, X = x and Y = 2y
Discussion
5.

What will be the general solution of differential equation for 2x – y dx + 2y – x dy = 0?

A. 22x + 22y = c
B. 2(22x + 22y) = c
C. 3(22x + 22y) = c
D. 4(22x + 22y) = c
Answer» B. 2(22x + 22y) = c
Discussion
6.

What is the value of the solution of dy/dx = (6x + 9y – 7)/(2x + 3y – 6)?

A. -c/3
B. 3c/2
C. 2c/3
D. -2c/3
Answer» B. 3c/2
Discussion
7.

What is the differential equation whose solution represents the family c(y + c)2 = x3?

A. [2x/3 *(dy/dx) – y][x/3 *dy/dx]2 = x3
B. [x/3 *(dy/dx) – y][x/3 *dy/dx]2 = x3
C. [2x/3 *(dy/dx) – y][ 2x/3 *dy/dx]2 = x3
D. [x/3 *(dy/dx) – y][ 2x/3 *dy/dx]2 = x3
Answer» D. [x/3 *(dy/dx) – y][ 2x/3 *dy/dx]2 = x3
Discussion