If the roots of the given equation 2 x^2 + 3( - 2)x + + 4 = 0 be … - Vidyadip

MCQ

If the roots of the given equation $2{x^2} + 3(\lambda - 2)x + \lambda + 4 = 0$ be equal in magnitude but opposite in sign, then $\lambda $=

A
$1$
✓
$2$
C
$3$
D
$2/3$

✓

Answer

Correct option: B.

$2$

b
(b) Let roots are $\alpha $and $ - \alpha $, then sum of the roots

$\alpha + ( - \alpha ) = \frac{{3(\lambda - 2)}}{2}$

$\Rightarrow 0 = \frac{3}{2}(\lambda - 2)$

==>$\lambda = 2$

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 - 4.2 Quadratic equations and inequations→STD 11 - 4.2 Quadratic equations and inequations — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If both the roots of $k(6{x^2} + 3) + rx + 2{x^2} - 1 = 0$ and $6k(2{x^2} + 1) + px + 4{x^2} - 2 = 0$ are common, then $2r - p$ is equal to

The total number of $4-$digit numbers whose greatest common divisor with $54$ is $2$ , is $..........$.

If $\mathop {\lim }\limits_{x \to \infty } {\left( {1 + \frac{a}{x} - \frac{4}{{{x^2}}}} \right)^{2x}} = {e^3},$ then $'a'$ is equal to

The sum of the series $\frac{1}{x+1}+\frac{2}{x^{2}+1}+\frac{2^{2}}{x^{4}+1}+\ldots . .+\frac{2^{100}}{x^{2^{100}}+1}$ when $x=2$ is :

Find the equation to the circle which touches the axis of $y$ at the origin and passes through the point $(b, c):$

$\mathop {\lim }\limits_{x \to 0} {\left( {\frac{{1 + 5{x^2}}}{{1 + 3{x^2}}}} \right)^{1/{x^2}}} = $

The remainder on dividing $1+3+3^{2}+3^{3}+\ldots+3^{2021}$ by $50$ is

If $\text{f(x)}=\cos(\log\text{x}),$ then the value of $\text{f(x})\text{f}(\text{y})-\frac{1}{2}\Big\{\text{f}\Big(\frac{\text{x}}{\text{y}}\Big)+\text{f}\big(\text{x}\text{y}\big)\Big\}$ is:

If ${ }^{2 n+1} P_{n-1}:{ }^{2 n-1} P_n=11: 21$, then $n^2+n+15$ is equal to:

Slope of a line is given by if inclination of line is $\alpha$: