Explore topic-wise InterviewSolutions in .

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

Explore topic-wise InterviewSolutions in .

The graph shows in figure is exponential. Write down the equation corresponding to the graph.

For the equations given below, tell the nature of graphs. (a) `y =2x^(2)` (b) `y =-4x^(2) +6` (c) `y = 6 ^(-4x)` (d) `y = 4(1 -e^(-2x))` (e) `y =(4)/(x)` (f) `y =-(2)/(x)`

Value of `y` increases exponentially from `y =- 4` to `y = + 4`. Plot `a x-y` graph.

Value of `y` decreases exponentially from `y =10` to `y =6`. plot `a x-y` graph.

Draw the graphs corresponding to the equations (a) `y = 4x` (b)`y =-6x` (c) `y = x +4` (d) `y =-2x +4` (e) `y = 2x - 4` (f) `y =- 4x -6`

For the graphs given below, write down their `x -y` equations

The graph shown in figure is exponential. Write down the equation corresponding to the graph.

Differentiate the following functions with respect to `x` (a) `x^(4) + 3x^(2) -2x` (b) `x^(2) cos x` (c) `(6x +7)^(4)` (d) `e^(x) x^(5)` (e) `((1 + x))/(e^(x))`

Find the value of (a) `cos 120^(@)` (b) `sin 240^(@)` (c) `tan (-60^(@))` (d) ` cot 300^(@)` (e) `tan 330^(@)` (f) `cos (-60)^(@)` (g) `sin (-150)^(@)` (h) `cos ( -120)^(@)`

Integrate the following functions with respect to `t`

Integrate the following function (a) `int_(o)^(2) 2t dt` (b) `int _(pi//6)^(pi//3) sin x dx` (c) `int _(4)^(10)(dx)/(x)` (d) `int _(o)^(pi) cos x dx` (e) `int _(1) ^(2)(2t -4) dt`