Embibe Experts Solutions for Chapter: Hyperbola, Exercise 2: Exercise-2

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Hyperbola, Exercise 2: Exercise-2

Attempt the free practice questions on Chapter 19: Hyperbola, Exercise 2: Exercise-2 with hints and solutions to strengthen your understanding. Alpha Question Bank for Engineering: Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Hyperbola, Exercise 2: Exercise-2 with Hints & Solutions

HARD
JEE Main/Advance
IMPORTANT

The sides AC and AB of a triangle ABC touch the conjugate hyperbola of the hyperbola x2a2-y2 b2=1 at C and B respectively. If the vertex A lies on the ellipse x2a2+y2 b2=1, the side BC

MEDIUM
JEE Main/Advance
IMPORTANT

If AB is a double ordinate of the hyperbola x2a2-y2b2=1 such that OAB (O is the origin) is an equilateral triangle, then the eccentricity 'e' of the hyperbola satisfies:

HARD
JEE Main/Advance
IMPORTANT

The length of that focal chord of the hyperbola xy=8 which touches the circle x2+y2=8 is.

EASY
JEE Main/Advance
IMPORTANT

The sum of lengths of perpendiculars drawn from focii to any real tangent to the hyperbola x216-y29=1 is always greater than a, then find maximum value of a.

EASY
JEE Main/Advance
IMPORTANT

Let x2+y2=r2 and xy=1 intersect at A&B in first quadrant, If AB=14 then find the value of r.

MEDIUM
JEE Main/Advance
IMPORTANT

Which of the following equations in parametric form can represent a hyperbolic profile, where 't' is a parameter.

MEDIUM
JEE Main/Advance
IMPORTANT

If two distinct tangents can be drawn from the point (α,2) on different branches of the hyperbola x29-y216=1, then the range of α is subset of

MEDIUM
JEE Main/Advance
IMPORTANT

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP2+CQ2+CR2+CS2=