S L Loney Solutions for Chapter: Conic Sections. The Parabola, Exercise 3: EXAMPLES XXVII

Author:S L Loney

S L Loney Mathematics Solutions for Exercise - S L Loney Solutions for Chapter: Conic Sections. The Parabola, Exercise 3: EXAMPLES XXVII

Attempt the practice questions on Chapter 8: Conic Sections. The Parabola, Exercise 3: EXAMPLES XXVII with hints and solutions to strengthen your understanding. The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates solutions are prepared by Experienced Embibe Experts.

Questions from S L Loney Solutions for Chapter: Conic Sections. The Parabola, Exercise 3: EXAMPLES XXVII with Hints & Solutions

HARD
JEE Advanced
IMPORTANT

For parabola y2=4ax, a>0. Prove that the length of the chord joining the points of contact of the tangents drawn from the point x1, y1 is y12+4a2y12-4ax1a.

MEDIUM
JEE Advanced
IMPORTANT

Prove that the area of the triangle formed by the tangents from the point x1, y1 and the chord of contact of parabola y2=4ax is y12-4ax132÷2a.

MEDIUM
JEE Advanced
IMPORTANT

What is the equation to the chord of the parabola y2=8x which is bisected at the point 2, -3?

HARD
JEE Advanced
IMPORTANT

The general equation to a system of parallel chords in the parabola y2=257x is 4x-y+k=0. What is the equation to the corresponding diameter?

MEDIUM
JEE Advanced
IMPORTANT

P, Q and R are three points on a parabola and the chord PQ cuts the diameter through R in V. Ordinates PM and QN are drawn to this diameter. Prove that RM·RN=RV2.

HARD
JEE Advanced
IMPORTANT

Two equal parabolas with axis in opposite directions touch at a point O. From a point P on one of them, tangents PQ and PQ'are drawn to the other. Prove that, QQ' will touch the first parabola in P'where, PP' is parallel to the common tangent at O.