EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Parabola>Telangana Board-2018>Q 1

EASY

12th Telangana Board

IMPORTANT

Earn 100

Find the equation of the parabola whose vertex is $(3, - 2)$ and focus is $(3, 1)$ .

Important Questions on Parabola

HARD

12th Telangana Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Parabola>Telangana Board-2018>Q 2

Derive the equation of parabola in the standard form, that is

y^{2} = 4 a x

.

MEDIUM

12th Telangana Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Parabola>Telangana Board-2019>Q 3

Find the equation of the normal to the parabola $y^{2} = 4 x$ which is parallel to $y - 2 x + 5 = 0 .$

MEDIUM

12th Telangana Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Parabola>Telangana Board-2019>Q 4

From an external point '

P

' tangents are drawn to the parabola

y^{2} = 4 a x

and these tangents make angles

θ_{1}

and

θ_{2}

with its axis, such that

\cot θ_{1} + \cot θ_{2}

is a constant '

d

'. Then, show that

P

lie on a horizontal line.

EASY

12th Telangana Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Parabola>Telangana Board-2020>Q 5

Find the equation of the tangent to the parabola

y^{2} = 6 x

at the positive end of the latus rectum.

EASY

12th Telangana Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Parabola>Telangana Board-2020>Q 6

Derive the equation of a parabola in standard form.