G Tewani Solutions for Chapter: Ellipse, Exercise 2: DPP

Author:G Tewani

G Tewani Mathematics Solutions for Exercise - G Tewani Solutions for Chapter: Ellipse, Exercise 2: DPP

Attempt the practice questions on Chapter 6: Ellipse, Exercise 2: DPP with hints and solutions to strengthen your understanding. Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced solutions are prepared by Experienced Embibe Experts.

Questions from G Tewani Solutions for Chapter: Ellipse, Exercise 2: DPP with Hints & Solutions

HARD
JEE Main
IMPORTANT

If ω is one of the angles between the normals to the ellipse x2a2+y2b2=1 at two points whose eccentric angles are θ and π2+θ, then 2cotωsin2θ is

HARD
JEE Main
IMPORTANT

From a point on the line t+2x+y=1, t2, tangents are drawn to the ellipse 4x2+16y2=1. It is given that the chord of contact passes through a fixed point. Then the number of integral values of  't'  for which the fixed point always lies inside the ellipse is

HARD
JEE Main
IMPORTANT

At a point P on the ellipse x2a2+y2b2=1 tangent PQ is drawn. If the point Q be at a distance 1p from the point P, where p is distance of the tangent from the origin, then the locus of the point Q is

HARD
JEE Main
IMPORTANT

From a point P perpendicular tangents PQ and PR are drawn to ellipse x2+4y2=4, then locus of circumcentre of the triangle PQR is

HARD
JEE Main
IMPORTANT

If the normal at any point P on the ellipse x2a2+y2b2=1 meets the auxiliary circle at Q and R, such that QOR=90°, where O is the center of the ellipse, then

HARD
JEE Main
IMPORTANT

P and Q are two points on the ellipse x2a2+y2b2=1 a, b>0 whose eccentric angles differ by 90°, then

HARD
JEE Main
IMPORTANT

AB and CD are two equal and parallel chords of the ellipse x2a2+y2b2=1. Tangents to the ellipse at A and B intersect at P and tangents at C and D at Q. The line PQ