New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Hyperbola question

2018 · 15 Apr · Shift 1 · Q34

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Hyperbola
2018 · 15 Apr · Shift 1 · Q34

Hyperbola question

2018 · 15 Apr · Shift 1 · Q34

JEE MainMathematicsHyperbolaMCQ+4 / −1

If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :

A
x2 $-$ 4y2 + 16x2y2 = 0
B
x2 $-$ 4y2 $-$ 16x2y2 = 0
C
4x2 $-$ y2 + 16x2y2 = 0
D
4x2 $-$ y2 $-$ 16x2y2 = 0

More from Hyperbola

The locus of the point of intersection of the lines, $2 x - y + 42 k = 0$ and $2 k x + k y - 42 = 0$ (k is any non-zero real parameter), is :2018 · MCQ
The locus of the point of intersection of the straight lines, tx $-$ 2y $-$ 3t = 0 x $-$ 2ty + 3 = 0 (t $\in$ R), is :2017 · MCQ
Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 −…2016 · MCQ
A hyperbola whose transverse axis is along the major axis of the conic, $\frac{x ^{2}}{3} + \frac{y ^{2}}{4} = 4$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $\frac{3}{2},$ then which of the…2016 · MCQ
The eccentricity of the hyperbola whose length of the latus rectum is equal to $8$ and the length of its conjugate axis is equal to half of the distance between its foci, is :2016 · MCQ
For the Hyperbola $\frac{x ^{2}}{c o s ^{2} α} - \frac{y ^{2}}{s i n ^{2} α} = 1$ , which of the following remains constant when $α$ varies $=$ ?2007 · MCQ
The foci of the ellipse $\frac{x ^{2}}{16} + \frac{y ^{2}}{b ^{2}} = 1$ and the hyperbola $\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = \frac{1}{25}$ coincide. Then the value of $b^{2}$ is :2003 · MCQ
Let one focus of the hyperbola $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ be at $(10, 0)$ and the corresponding directrix be $x = \frac{9}{10}$ . If $e$ and $l$ respectively are the eccentricity and the…2025 · MCQ