If the point (a, a) are placed in between the lines |x + y| = 4, … - Vidyadip

MCQ

If the point $(a, a)$ are placed in between the lines $|x + y| = 4$, then

A
$| a| = 2$
B
$|a|\, = 3$
✓
$| a| < 2$
D
$| a| < 3$

✓

Answer

Correct option: C.

$| a| < 2$

c
(c) Lines $x + y = 4$ and $x + y = - 4$ are parallel and point $(2, 2)$ and $(-2, -2)$ are lies on these lines.

If point $(a, a)$ are lie in between the lines then $a > - 2$ and $a < 2$ i.e.$ -2 < a< 2$==> $|a|\; < 2$.

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 STD 11 - rectangular cartensian co-ordinates→STD 11 - rectangular cartensian co-ordinates — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The sum of first $20$ terms of the sequence $0.7, 0.7 7, 0.7 7 7, … ,$ is:

The weight of a body, calculated as the average of seven different experiments is $53.735g.$The average of the first three experiments is $54.005g.$ The fourth was greater than the fifth by $0.0040.004 g$ and the average of sixth and seventh was $0.010g$ less than the average of the first three. Find the weight of the body in the fourth experiment.

If $\frac{{a + bx}}{{a - bx}} = \frac{{b + cx}}{{b - cx}} = \frac{{c + dx}}{{c - dx}}(x \ne 0)$, then $a,\;b,\;c,\;d$ are in

The value of $\sum\limits_{r = 1}^{15} {{r^2}\,\left( {\frac{{^{15}{C_r}}}{{^{15}{C_{r - 1}}}}} \right)} $ is equal to

Choose the correct answer. The equations of the lines passing through the point $(1, 0)$ and at a distance $\frac{\sqrt{3}}{2}$ from the origin, are

The number of $6$ digit numbers that can be formed using the digits $0, 1, 2, 5, 7$ and $9$ which are divisible by $11$ and no digits is repeated, is

If $\text{z}=\Big(\frac{1+\text{i}}{1-\text{i}}\Big),$ then $z^4$ equals:

The number of integral values of $k$, for which one root of the equation $2 x^2-8 x+k=0$ lies in the interval $(1,2)$ and its other root lies in the interval $(2,3)$, is :

Let PQ be a focal chord of the parabola $y^2=36 x$ of length $100$, making an acute angle with the positive $x$-axis. Let the ordinate of $P$ be positive and $M$ be the point on the line segment $P Q$ such that $P M: M Q=3: 1$. Then which of the following points does NOT lie on the line passing through $M$ and perpendicular to the line $PQ$ ?

If the roots of the equation $a{x^2} + bx + c = 0$ are $\alpha ,\beta $, then the value of $\alpha {\beta ^2} + {\alpha ^2}\beta + \alpha \beta $ will be