Question:
If the determinant is root of or are in GP.
If the determinant is root of or are in GP.
Updated On: Aug 9, 2024
- (A) a, b, c are in AP
- (B) a, b, c are in GP
- (C) a, b, c are in HP
- (D) (x -α ) is a factor of ax2 + 2bx + c
Show Solution
Verified By Collegedunia
The Correct Option is A, D
Solution and Explanation
Explanation:
is equal to zero, then
is equal to zero, then
Was this answer helpful?
0
0
Top WBJEE Mathematics Questions
- Let $\vec{\alpha } = \hat{i} + \hat{j} + \hat{k} , \vec{\beta} = \hat{i} - \hat{j} - \hat{k}$ and $\vec{\gamma} = - \hat{i} + \hat{j} - \hat{k}$ be three vectors. A vector $\vec{\delta} $, in the plane of $\vec{\alpha}$ and $\vec{\beta}$, whose projection on $\vec{\gamma}$ is $\frac{1}{\sqrt{3}}$, is given by
- Let a, b, c be real numbers such that $a + b + c < 0$ and the quadratic equation $ax^2 + bx + c = 0$ has imaginary roots. Then
- If the radius of a spherical balloon increases by 0.1%, then its volume increases approximately by
- If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to
- $\frac {3x^2+1}{x^2-6x+8}$ is equal to
View More Questions
Top WBJEE Trigonometric Functions Questions
- If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to
- If $\theta \in\left(\frac{\pi}{2}, \frac{3 \pi}{2}\right)$, then the value of $\sqrt{4 \cos ^{4} \theta+\sin ^{2} 2 \theta}+4 \cot \theta \cos ^{2}\left(\frac{\pi}{4}-\frac{\theta}{2}\right)$
- In a triangle $ABC$, if sin A sin $B =\frac{ab}{c^{2}}$, then the triangle is
- Let $p, q$ and $r$ be the sides opposite to the angles $P, Q$ and $R$, respectively in a $\Delta P Q R$. If $r^{2} \sin P \sin Q=p q$, then the triangle is
- Let $p, q$ and $r$ be the side4s opposite to the angles $P, Q$ and $R$, respectively in a $\Delta P Q R$. Then, $2 p r \sin \left(\frac{P-Q+R}{2}\right)$ equals
View More Questions
Top WBJEE Questions
- Let $\vec{\alpha } = \hat{i} + \hat{j} + \hat{k} , \vec{\beta} = \hat{i} - \hat{j} - \hat{k}$ and $\vec{\gamma} = - \hat{i} + \hat{j} - \hat{k}$ be three vectors. A vector $\vec{\delta} $, in the plane of $\vec{\alpha}$ and $\vec{\beta}$, whose projection on $\vec{\gamma}$ is $\frac{1}{\sqrt{3}}$, is given by
- Let a, b, c be real numbers such that $a + b + c < 0$ and the quadratic equation $ax^2 + bx + c = 0$ has imaginary roots. Then
- If the radius of a spherical balloon increases by 0.1%, then its volume increases approximately by
- The velocity of a particle executing a simple harmonic motion is $13\, ms^{-1}$, when its distance from the equilibrium position (Q) is 3 m and its velocity is $12 \, ms^{-1}$, when it is 5 m away from The frequency of the simple harmonic motion is
- By which of the following methods, new and better varieties of plants can be formed?
View More Questions