﻿ Engineering Entrance Exam Question and Answers | Differential Equations - Zigya

## Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

## Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

## Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

# Differential Equations

#### Multiple Choice Questions

1.

Let  be three unit vectors such that  then the angle between  is

• 3π/4

• π/2

• 2π/3

• 5π/6

185 Views

2.

If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?

• 3a2−26a+55=0

• 3a2−32a+84=0

• 3a2−34a+91=0

• 3a2−34a+91=0

206 Views

3.

Let y(x) be the solution of the differential equation  (x  ≥1). Then, y (e) is equal to

• e

• 0

• 2

• 2

182 Views

4.

If  is equal to

• 4/3

• 1/3

• -2/3

• -2/3

220 Views

5.

Let In ∫tan x dx,(n> 1) . I4 + I6 = a tan5x + bx5 + C, where C is a constant of integration, then the ordered pair (a, b) is equal to

281 Views

6.

How many real solutions does the equation x7+ 14x5+ 16x3+ 30x – 560 = 0 have?

• 7

• 1

• 3

• 3

149 Views

7.

Let the orthocentre and centroid of a triangle be A(–3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is

• $\frac{3\sqrt{5}}{2}$

• $\sqrt{10}$

• $2\sqrt{10}$

• $3\sqrt{\frac{5}{2}}$

8.

Consider the non-constant differentiable function f of one variable which obeys the relation $\frac{\mathrm{f}\left(\mathrm{x}\right)}{\mathrm{f}\left(\mathrm{y}\right)}$ f(x - y ). If f'(0)= p and f(y) . f'(5) = q, then f'(- 5) is

• $\frac{{\mathrm{p}}^{2}}{\mathrm{q}}$

• $\frac{\mathrm{q}}{\mathrm{p}}$

• $\frac{\mathrm{p}}{\mathrm{q}}$

• q

9.

If f(x)=log5(log3(x)), then f'(e) is equal to

• e loge(5)

• e loge(3)

• $\frac{1}{{\mathrm{elog}}_{\mathrm{e}}\left(5\right)}$

• $\frac{1}{{\mathrm{elog}}_{\mathrm{e}}\left(3\right)}$

10.

Let F(x)=ex, G(x)=e- x and H(x) = G(F(x)), where x is a real variable. Then, $\frac{\mathrm{dH}}{\mathrm{dx}}$ at x= 0 is

• 1

• - 1