Plotting

Q.

Graph of f(x) is given. Draw the graph of $f^{-1}\left(x\right)$

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Q. Equation of the line passing through the point (2, 3) and having slope 3 in its symmetric form is:

Q. Locus of the point whose sum of distances from the origin and the $x-$ axis is $4$ units is

1. $x^2=8(2-y),y\ge 0$
2. $x^2=8(2+y),y\ge 0$
3. $x^2=8(2+y),y<0$
4. $x^2=8(2-y),y<0$

Q.

What can be the shape of graph of $y=2x^2+bx+cb,cϵR$

1. Can't say

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Q.

How will the graph of $y=f(x-1)$ look if the graph of $y=f\left(x\right)$ looks like

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Q.

If the graph of a $x^2$ + bx + c is given as

Then the graph of a ${(x-h)}^2$ + b ${(x-h)}^2$ + c = 0

Where h > 0, will be

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Q.

Which of the following is the graph of y = |x|

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Q.

How does the graph of $f\left(2x\right)$ look like if the graph of $f\left(x\right)$ is

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Q.

The number of roots of the equation x + 2tanx = $\frac{\pi }{2}$ in the interval [0, 2$\pi$]

1. 1

2. 3

3. infinite

4. 2

Q. Sketch the graphs of the following trigonometric functions:
(i) $f\left(x\right)=\cos \left(x-\frac{\pi }{4}\right)$
(ii) $g\left(x\right)=\cos \left(x+\frac{\pi }{4}\right)$
(iii) h(x) = cos² 2x
(iv) $\mathrm{\varphi }\left(x\right)=2\cos \left(x-\frac{\pi }{6}\right)$
(v) ψ(x) = cos 3x
(vi) $u\left(x\right)={\cos }^2\frac{x}{2}$
(vii) f(x) = cos π x
(viii) g(x) = cos 2π x

Q.

The graph of expression f(x) = -2 $x^2$ + 5x + 7 looks like

1. Cup shaped parabola

2. Can’t say

3. Cap shaped parabola

4. A straight line

Q.

How does the graph of $f\left(2x\right)$ look like if the graph of $f\left(x\right)$ is

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Q. 24.The equation of a straight line is x-3y=33.the slope of the line is what?

Q.

Find the function which closely describes the given graph.

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Q.

Find the function corresponding to the graph given below, 1 $\le$ x < 3 ( The function which closely describes the graph )

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Q. Number of solution(s) possible for equation $\sin \left(x\right)={\log }_{10}\left(x\right)$ is/are

1. 1
2. 2
3. 3
4. more than 3

Q. Sketch the graph of the following function on the same scale:

8. y = sin² x, y = sin x

Q. Let $A(6,-5)$ and $B(-6,1)$ be the two vertices of the triangle $ABC$, if the locus of centroid of $△ABC$ is $2x+5y=1$, then the locus of vertex $C$ is

1. $5x-2y=17$
2. $2x+5y=23$
3. $2x-5y=21$
4. $5x+2y=19$

Q. If f(x) = cos (log_e x), then $f\left(\frac{1}{x}\right)f\left(\frac{1}{y}\right)-\frac{1}{2}\left\{f\left(xy\right)+f\left(\frac{x}{y}\right)\right\}$is equal to
(a) cos (x − y)
(b) log (cos (x − y))
(c) 1
(d) cos (x + y)

Q. Sketch the graphs of the following functions:

(2) y = cos² x

Q. Number of solution(s) possible for the equation ${\log }_{10}x=\left|\sin x\right|$ is/are

1. 2
2. 3
3. 4
4. 5

Q. Sketch the graphs of the following functions:

3. $y={\sin }^2\left(x-\frac{\mathrm{\pi }}{4}\right)$