Explore topic-wise MCQs in Engineering Mathematics.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

If the car is having a displace from point 1 to point 2 in t sec which is given by equation y(x) = x2 + x + 1. Then?

A. Car is moving with constant acceleration
B. Car is moving with constant velocity
C. Neither acceleration nor velocity is constant
D. Both acceleration and velocity is constant
Answer» B. Car is moving with constant velocity
Discussion
2.

If z(x,y) = 2Sin(x)+Cos(y)Sin(x) find d2z(xy) dxdy= ?

A. Cos(y)Cos(x)
B. -Sin(y)Sin(x)
C. Sin(y)Cos(x)
D. -Cos(y)Sin(x)
Answer» D. -Cos(y)Sin(x)
Discussion
3.

If the velocity of car at time t(sec) is directly proportional to the square of its velocity at time (t-1)(sec). Then find the ratio of acceleration at t=10sec to 9sec if proportionality constant is k=10 sec/mt and velocity at t=9sec is 10 mt/sec.

A. 100
B. 200
C. 150
D. 250
Answer» C. 150
Discussion
4.

If y2 + xy + x2 2x = 0 then d2y dx2 =?

A. ((2y+x) frac{d^2 y}{dx^2}+( frac{dy}{dx})^2+2 frac{dy}{dx}+2=0 )
B. ((2y+x) frac{d^2 y}{dx^2}+2( frac{dy}{dx})^2+ frac{dy}{dx}+2=0 )
C. ((2y+x) frac{d^2 y}{dx^2}+2( frac{dy}{dx})^2+2 frac{dy}{dx}+2=0 )
D. (x frac{d^2 y}{dx^2}+2( frac{dy}{dx})^2+2 frac{dy}{dx}+2=0 )
Answer» D. (x frac{d^2 y}{dx^2}+2( frac{dy}{dx})^2+2 frac{dy}{dx}+2=0 )
Discussion
5.

If Cos(y)=Cos(-1) (y) then?

A. (1 y<sup>2</sup>)(1 Cos<sup>2</sup> (y))=1
B. (1 y<sup>2</sup>)(1 Cos(y))=1
C. (1 y<sup>2</sup>)(1 Sin<sup>2</sup> (y))=1
D. (1 y<sup>2</sup>)(1 Sin(y))=1
Answer» B. (1 y<sup>2</sup>)(1 Cos(y))=1
Discussion
6.

If Sin(y)=Sin(-1) (y) then?

A. (1-y<sup>2</sup>)(1 Cos<sup>2</sup> y) = 1
B. (1-y<sup>2</sup>)(1 Sin<sup>2</sup> y) = 1
C. (1-y<sup>2</sup>)(1 Siny)=1
D. (1-y<sup>2</sup>)(1 Cosy)=1
Answer» C. (1-y<sup>2</sup>)(1 Siny)=1
Discussion
7.

Evaluate y44 + 3xy3 + 6x2 y2 7y + 8 = 0.

A. ( frac{(7-12x^2 y-9xy^4-4y^3)}{(3y^3+12xy^2)} )
B. ( frac{(7-12x^2 y-9xy^2-4y^3)}{(3y^3+12xy^2)} )
C. ( frac{(7-12x^2 y-9xy^2-4y^3)}{(3y^4+12xy^2)} )
D. ( frac{(7-12x^4 y-9xy^2-4y^3)}{(3y^3+12xy^2)} )
Answer» C. ( frac{(7-12x^2 y-9xy^2-4y^3)}{(3y^4+12xy^2)} )
Discussion
8.

Implicit functions are those functions ____________

A. Which can be solved for a single variable
B. Which can not be solved for a single variable
C. Which can be eliminated to give zero
D. Which are rational in nature.
Answer» C. Which can be eliminated to give zero
Discussion
9.

Find the derivative of Tan(x) = Tan(y).

A. ( frac{1+x^2}{1+y^2} )
B. ( frac{1+y}{1+x^2} )
C. ( frac{1+y^2}{1+x^2} )
D. ( frac{1+y^2}{1+x} )
Answer» D. ( frac{1+y^2}{1+x} )
Discussion
10.

Find differentiation of xSin(x) + ayCos(x) + Tan(y) = 0.

A. ( frac{[ayCos(x)-Sin(x)+Cos(x)]}{[aCos(x)+Sec^2 (y)]} )
B. ( frac{[ayCos(x)-Sin(x)+xCos(x)]}{[Cos(x)+Sec^2 (y)]} )
C. ( frac{[ayCos(x)-Sin(x)+xCos(x)]}{[aCos(x)+Sec^2 (y)]} )
D. ( frac{[ayCos(x)-Cos(x)+xCos(x)]}{[aCos(x)+Sec^2 (y)]} )
Answer» D. ( frac{[ayCos(x)-Cos(x)+xCos(x)]}{[aCos(x)+Sec^2 (y)]} )
Discussion
11.

Find the differentiation of x4 + y4 = 0.

A. <sup>x<sup>3</sup></sup> <sub>y<sup>4</sup></sub>
B. <sup>x<sup>4</sup></sup> <sub>y<sup>3</sup></sub>
C. <sup>x<sup>3</sup></sup> <sub>y<sup>3</sup></sub>
D. <sup>x<sup>3</sup></sup> <sub>y<sup>3</sup></sub>
Answer» D. <sup>x<sup>3</sup></sup> <sub>y<sup>3</sup></sub>
Discussion
12.

Find the differentiation of x3 + y3 3xy + y2 = 0?

A. ( frac{(x^2-y)}{x-y^2-2y} )
B. ( frac{(3x^2-3y)}{3x-3y^2-2y} )
C. ( frac{(3x^3-3y)}{3x-3y^2-2y} )
D. ( frac{(3x^2-y)}{3x-3y^2-y} )
Answer» C. ( frac{(3x^3-3y)}{3x-3y^2-2y} )
Discussion
13.

x3 Sin(y) + Cos(x) y3 = 0, its differentiation is?

A. ( frac{[x^3 Sin(y)-3y^2 Sin(x)]}{[x^2 Cos(y)+y^3 Cos(x)]} )
B. ( frac{[3x^2 Sin(y)-y^3 Sin(x)]}{[x^3 Cos(y)+3y^2 Cos(x)]} )
C. ( frac{[3x^3 Sin(y)-y^3 Sin(x)]}{[x^3 Cos(y)+3y^3 Cos(x)]} )
D. 0
Answer» C. ( frac{[3x^3 Sin(y)-y^3 Sin(x)]}{[x^3 Cos(y)+3y^3 Cos(x)]} )
Discussion