Odisha Board Solutions for Chapter: Conic Sections, Exercise 2: EXERCISES 12 (b)

Author:Odisha Board

Odisha Board Mathematics Solutions for Exercise - Odisha Board Solutions for Chapter: Conic Sections, Exercise 2: EXERCISES 12 (b)

Attempt the free practice questions on Chapter 12: Conic Sections, Exercise 2: EXERCISES 12 (b) with hints and solutions to strengthen your understanding. Bureau's Higher Secondary Elements of Mathematics Vol.1 solutions are prepared by Experienced Embibe Experts.

Questions from Odisha Board Solutions for Chapter: Conic Sections, Exercise 2: EXERCISES 12 (b) with Hints & Solutions

MEDIUM
11th Odisha Board
IMPORTANT

Find the equation of the parabola of the following case: The axis is horizontal and the parabola passes through the points (2,-1),(-2,-4) and (-1,3).

MEDIUM
11th Odisha Board
IMPORTANT

Find the equation of tangents and normals to the parabola y2=4ax at the ends of its latus rectum.

HARD
11th Odisha Board
IMPORTANT

Find the equations of tangents and normals to the parabola y2=4ax at the points where it is cut by the line y=3x-a.

MEDIUM
11th Odisha Board
IMPORTANT

Show that the tangent to the parabola y2=4ax at the point a1, b1 is perpendicular to the tangent at the point a2a1, -4a2b1.

HARD
11th Odisha Board
IMPORTANT

A tangent to the parabola y2=8x makes an angle 45° with the line 3x-y+5=0. Find the equation and the point of contact.

MEDIUM
11th Odisha Board
IMPORTANT

Prove that for all values of k, the line y=kx+a+ak is a tangent to the parabola y2=4ax+a.

MEDIUM
11th Odisha Board
IMPORTANT

Obtain the condition that the line lx+my+n=0 will touch the parabola y2=4ax.

MEDIUM
11th Odisha Board
IMPORTANT

Prove that the line 4x-2y-1=0 touches the parabola whose focus is at 0, 0 and directrix is the line y=2x-1.