Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q I

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Earn 100

Find the equation of the normal at $P$ of the circle $S = 0$ where $P$ and $S$ are given by $P = (1, 2)$ and $S \equiv x^{2} + y^{2} - 22 x - 4 y + 25$ .

Important Questions on Circle

HARD

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the length of the chord intercepted by the circle

x^{2} + y^{2} - x + 3 y - 22 = 0

on the line

y = x - 3

.

HARD

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the length of the chord intercepted by the circle

x^{2} + y^{2} - 8 x - 2 y - 8 = 0

on the line

x + y + 1 = 0

.

HARD

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the length of the chord intercepted by the circle

x^{2} + y^{2} = a^{2}

on the line

x \cos α + y \sin α = p

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the equation of the circle with center

(2, 3)

and touching the line

3 x - 4 y + 1 = 0

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the equation of the circle with center

(- 3, 4)

and touching the

y

-axis.

HARD

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the equation of tangents of the circle

x^{2} + y^{2} - 8 x - 2 y + 12 = 0

at the points whose ordinates are

1

.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q II

Find the equation of tangents of the circle

x^{2} + y^{2} - 10 = 0

at the points whose abscissae are

1

.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2B>Chapter 1 - Circle>Exercise 1(c)>Q III

If

x^{2} + y^{2} = c^{2}

and

\frac{x}{a} + \frac{y}{b} = 1

intersects at

A

and

B

then find

A B

. Hence deduce the condition that the line touches the circle.