The graph of the function x ; (x + 2) - ^2 (x + 1) is - Vidyadip

MCQ

The graph of the function $\cos x\;\cos (x + 2) - {\cos ^2}(x + 1)$ is

A
A straight line passing through $(0,\,\, - {\sin ^2}1)$ with slope $2$
B
A straight line passing through $(0, 0)$
C
A parabola with vertex ${75^o}$
✓
A straight line passing through the point $\left( {\frac{\pi }{2}, - {{\sin }^2}1} \right)$ and parallel to the $x$-axis

✓

Answer

Correct option: D.

A straight line passing through the point $\left( {\frac{\pi }{2}, - {{\sin }^2}1} \right)$ and parallel to the $x$-axis

d
(d) $y = \cos (x + 1 - 1)\cos (x + 1 + 1) - {\cos ^2}(x + 1)$

$ = {\cos ^2}(x + 1) - {\sin ^2}1 - {\cos ^2}(x + 1) = - {\sin ^2}1$,

which represents a straight line parallel to $x$-axis with $y = - {\sin ^2}1$ for all $x$ and so

also for $x = \pi /2$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from 9. straight line→9. straight line — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the straight line $x\cos \alpha + y\sin \alpha = p$ be a tangent to the hyperbola $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$, then

If $\text{S}_\text{n}=\sum\limits^{\text{n}}_{\text{r}=1}\frac{1+2+2^2+\ ...\text{ Sum to r terms}}{2^{\text{r}}},$ then $S_n$ is equal to:

Let $a_1, a_2, a_3, \ldots, a_{100}$ be an arithmetic progression with $a_1=3$ and $S_p=\sum_{i=1}^p a_i, 1 \leq p \leq 100$. For any integer $n$ with $1 \leq n \leq 20$, let $m=5 n$. If $\frac{S_{m m}}{S_n}$ does not depend on $n$, then $a_2$ is

Points $P (-3,2), Q (9,10)$ and $R (\alpha, 4)$ lie on a circle $C$ with $P R$ as its diameter. The tangents to $C$ at the points $Q$ and $R$ intersect at the point $S$. If $S$ lies on the line $2 x - ky =1$, then $k$ is equal to $.........$.

Coordinates of centre and radius of the circle $(x-3)^2+(y+4)^2=25$ are respectively:

${n^{th}}$ term of the series$1 + \frac{4}{5} + \frac{7}{{{5^2}}} + \frac{{10}}{{{5^3}}} + ........$ will be

Let $2^{\text {nd }}, 8^{\text {th }}$ and $44^{\text {th }}$, terms of a non-constant $A.P.$ be respectively the $1^{\text {st }}, 2^{\text {nd }}$ and $3^{\text {rd }}$ terms of $G.P.$ If the first term of $A.P.$ is $1$ then the sum of first $20$ terms is equal to-

Inequations involved in the given region are____________?

Choose the correct answers from the given four option: Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then

A single letter is selected at random from the word “$PROBABILITY$”. The probability that the selected letter is a vowel is