mth101 grand quiz | grand quiz 2021 | vu grand quiz

 

Calculus And Analytical Geometry (MTH101)
 (MCQs)

mth101 grand quiz 

 

If y=5x+bx+c, then its derivative w.r.txis ..

► 5+b

The slope of the horizontal line is .......

► Zero

Graph of y=f(x) and y=-f(x) are reflection of one another about....

► X-axis

What is the derivative of 39x^14/12

None of these

 If f(x)=ax+bx+c, then its derivative with respect to x is .....

a+b

Increasing function on an interval means that as we move from left

to right in the x-direction, the y-values......... in magnitude.

Increase

What is the derivative of 7x³

>21x³

Derivative exists only at the points where limit.....

→ Exist

 The derivative of a variable with respect to itself is equal to.....

1

10)"a is included in the interval(a, b)

True

Derivative of 3x⁷ + 4x² +9 is.........

21x⁶ +8x

14) Which of the following is derivative of f(x) = 4x’?

f'(x) = 12x

15) If y= 5x+bx-c, then its derivative w.r.tx is .....

5+b.

 If f(x) = (107)^2 then f'(2) =NOTE: x^n means 'x' to the power 'n'

0

Log with base 'e' is called ________ log.

Natural

Velocity is the rate of change of position w.r.t. ________.

time

Which of the following is equation of a line whose slope is 7 and y-intercept is 3?

Y= 7x+3

There is one-to-one correspondence between the points on co-ordinate line and ________.

Set of real numbers

Does the point (1, 2) satisfies the equation 2y=x²-1 ?

No

If  then instantaneous rate of change of 'y' w.r.t. 'x' at'x = −2' is ________.

2

Usually, the number that signifies the idea of f(x) being as close to limit L as want to be must be a/an ________.

Integer

The derivative of composition of functions can be found by using ________.

Generalized derivative formula

Which of the following is equation of a line whose slope is -4 and y-intercept is 2?

Y=-4x+2

Which of the following is x-intercept of a parabola represented by the equation : y=x²+2x

0 and −2

ε (epsilon) used in the definition of limit can be a negative number.

False

At a corner a tangent line does not exist because the slopes of the secant lines do not have a (two sided) limit.

True 

Graph of the equation y=x+3 represents a ________.

Line

The derivative of ( sin(cos x)) is ________.

−cos(cos x).sin x

Graph of y=f(x) and y=f(-x) are reflection of one another about the ________.

y-axis

 

The function f(x) = |x| is differentiable at x = 0

False

Which of the following is slope of a line segment joining the points (4, 3) and (−2, 3)?

1/7

If a secant line is drawn between two points P and Q on a curve, then the slope of this secant line is ________.

f(x2) − f(x1)

Which of the following is midpoint of the line segment joining points (1, 3) and (1, 5)?

(1, 4)

Graphically the function y = c represents ________ line.

Vertical

If (x approaches to 2) lim 3x-5=1. In this statement the limiting value of 3x-5 is ________.

1

Average rate of change in 'y' w.r.t. 'x' represents the slope of ________ line on the graph.

tangent

Which of the following is radius of a circle represented by equation: ?

5

The cotangent function is defined by Cot x = cos x/sin x

True

Which of the following is y-intercept of equation 2x=-5y+3 ?

3/5