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

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Earn 100

Find the polar of $(1, 2)$ with respect to $x^{2} + y^{2} = 7$ .

Important Questions on Circle

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

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

Find the polar of

(3, -1)

with respect to

2 x^{2} + 2 y^{2} = 11

.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

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

Find the polar of

(1, -2)

with respect to

x^{2} + y^{2} - 10 x - 10 y + 25 = 0

.

EASY

12th Andhra Pradesh Board

IMPORTANT

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

If the pole of

a x + b y + c = 0 (c \neq 0)

with respect to

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

are

(\frac{- a r^{2}}{k}, \frac{- b r^{2}}{k})

then what is the value of

k ?

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

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

Find the pole of

3 x + 4 y - 45 = 0

with respect to

x^{2} + y^{2} - 6 x - 8 y + 5 = 0

.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

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

Find the pole of

x - 2 y + 22 = 0

with respect to

x^{2} + y^{2} - 5 x + 8 y + 6 = 0

.

HARD

12th Andhra Pradesh Board

IMPORTANT

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

Show that the points

(- 6, 1) and (2, 3)

are conjugate points with respect to the circle

x^{2} + y^{2} - 2 x + 2 y + 1 = 0

.

HARD

12th Andhra Pradesh Board

IMPORTANT

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

Show that the points

(4, 2) and (3, - 5)

are conjugate points with respect to the circle

x^{2} + y^{2} - 3 x - 5 y + 1 = 0

.

EASY

12th Andhra Pradesh Board

IMPORTANT

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

Find the value of

k if k x + 3 y - 1 = 0, 2 x + y + 5 = 0

are conjugate lines with respect to the circle

x^{2} + y^{2} - 2 x - 4 y - 4 = 0

.