Question:
The curve represented by the equation 4x2 + 16y2 - 24x - 32y - 12 = 0 is
The curve represented by the equation 4x2 + 16y2 - 24x - 32y - 12 = 0 is
Updated On: Apr 24, 2024
- (A) a parabola
- (B) a pair of straight lines
- (C) an ellipse with eccentricity 1/2
- (D) an ellipse with eccentricity √3/2
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Explanation:
The given equation isThis represents an ellipse and
The given equation isThis represents an ellipse and
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 Relations and functions Questions
- ABCD is a parallelogram. If and are the respective midpoints of and then is equal to
- If a point P is equidistant from A(1, 3), B(-3, 5) and C(5, -1), then PA is equal to
- The derivative of f(tan x) w.r.t. g(sec x) at x = π/4 where f`(1) = 2 and g`(√2) =4, is
- Let S, T, U be three non-void sets and f : S $\to$ T,g : T $\to$ U is surjective. Then
- Let $X_{n}=\left\{z=x+i y:|z|^{2} \leq \frac{1}{n}\right\}$ for all integers $n \geq 1$. Then, $\overset{\infty}{\underset{n=1}{\cap}}$ is
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