MCQ
If the equations $\text{x}^2+2\text{x}+3=0 $ and $\text{ax}^2+\text{bx}+\text{c}=0,\text{abc}\in\text{R},$ I have a common root, then a : b : c is.
  • 1 : 2 : 3
  • B
    3 : 2 : 1
  • C
    1 : 3 : 2
  • D
    3 : 1 : 2

Answer

Correct option: A.
1 : 2 : 3
  1. 1 : 2 : 3

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

Similar questions

If $x + \frac{1}{x} = 2\,\cos \theta ,$ then ${x^3} + \frac{1}{{{x^3}}} = $
If ${x_1},\,{x_2},\,{x_3},.....,{x_n}$ are in $A.P.$ whose common difference is $ \alpha$, then the value of $\sin \alpha (\sec {x_1}\sec {x_2} + \sec {x_2}\sec {x_3} + ...$ $... + \sec {x_{n - 1}}\sec {x_n}) = $
The larger of ${99^{50}} + {100^{50}}$ and ${101^{50}}$ is
If $\cos \theta + \sec \theta = \frac{5}{2}$, then the general value of $\theta $ is
There are 12 points in a plane. The number of the straight lines joining any two of them when 3 of them are collinear is:
The angle between a pair of tangents drawn from a point $P$ to the circle ${x^2} + {y^2} + 4x - 6y + 9$ ${\sin ^2}\alpha + 13{\cos ^2}\alpha = 0$ is $2\alpha $. The equation of the locus of the point $P$ is
The length of the latus rectum of the parabola $2\{ (x -1)^2 + (y -3)^2 = (x + y -1)^2 \}$ is:-
If the two tangents drawn on hyperbola $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$ in such a way that the product of their gradients is ${c^2}$, then they intersects on the curve
Let the tangent and normal at the point $(3 \sqrt{3}, 1)$ on the ellipse $\frac{x^2}{36}+\frac{y^2}{4}=1$ meet the $y$-axis at the points $A$ and $B$ respectively. Let the circle $C$ be drawn taking $A B$ as a diameter and the line $x =2 \sqrt{5}$ intersect $C$ at the points $P$ and $Q$. If the tangents at the points $P$ and $Q$ on the circle intersect at the point $(\alpha, \beta)$, then $\alpha^2-\beta^2$ is equal to
Choose the correct answers:The domain and range of the function f given by f(x) = 2 - x - 5| is.