Given, |A + B| = P, |A - B| = Q. The value of P^2 + Q^2 is: - Vidyadip

MCQ

Given, $\ce{|A + B| = P, |A - B| = Q.}$ The value of $\ce{P^2 + Q^2}$ is:

✓
$\ce{2(A^2 + B^2)}$
B
$\ce{A^2 - B^2}$
C
$\ce{A^2 + B^2}$
D
$\ce{2(A^2 - B^2)}$

✓

Answer

Correct option: A.

$\ce{2(A^2 + B^2)}$

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 "M.C.Q (1 Marks)" from Motion in a Plane→Motion in a Plane — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Which of the prism is used to see infra-red spectrum of light

In changing the state of thermodynamics from $A$ to $B$ state, the heat required is $Q$ and the work done by the system is $W.$ The change in its internal energy is

A travelling harmonic wave is represented by the equation $y(x, t) = 10^{-3}\,sin\,(50t + 2x)$, where $x$ and $y$ are in meter and $t$ is in seconds. Which of the following is a correct statement about the wave?

The measured value of the length of a simple pendulum is $20 \mathrm{~cm}$ with $2 \mathrm{~mm}$ accuracy. The time for $50$ oscillations was measured to be $40$ seconds with $1$ second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is $\mathrm{N} \%$. The value of $\mathrm{N}$ is:

Colour of shining bright star is an indication of its

A force $\mathrm{F}=20+10 \mathrm{y}$ acts on a particle in $y$ direction where $\mathrm{F}$ is in newton and $\mathrm{y}$ in meter. Work done by this force to move the particle from $y=0$ to $y=1 \;\mathrm{m}$ is......$J$

A projectile is fired vertically upwards with an initial velocity $u$. After an interval of $T$ seconds a second projectile is fired vertically upwards, also with initial velocity $u$.

The work done in rotational motion is:

Number of particles is given by $n = - D\frac{{{n_2} - {n_1}}}{{{x_2} - {x_1}}}$ crossing a unit area perpendicular to X-axis in unit time, where ${n_1}$ and ${n_2}$ are number of particles per unit volume for the value of $x$ meant to ${x_2}$ and ${x_1}$. Find dimensions of $D$ called as diffusion constant

Following are four differrent relations about displacement, velocity and acceleration for the motion of a particle in general. Choose the incorrect one $(s):$