Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.2>Q 3

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11th Maharashtra Board

IMPORTANT

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Find the equation of the circle passing through the points $(5, 7), (6, 6)$ and $(2, - 2)$ .

Important Questions on Circle

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.2>Q 4

Show that the points

(3, - 2), (1, 0), (- 1, - 2)

and

(1, - 4)

are concyclic.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 1

Write the parametric equations of the circle $x^{2} + y^{2} = 9$

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 1

Write the parametric equations of the circles

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

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 1

Write the parametric equations of the circles

(x - 3)^{2} + (y + 4)^{2} = 25

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 2

Find the parametric representation of the circle

3 x^{2} + 3 y^{2} - 4 x + 6 y - 4 = 0

.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 3

Find the equation of a tangent to the circle

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

at the origin.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 4

Show that the line

7 x - 3 y - 1 = 0

touches the circle

x^{2} + y^{2} + 5 x - 7 y + 4 = 0

at point

(1, 2)

.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 6 - Circle>EXERCISE 6.3>Q 5

Find the equation of a tangent to the circle

x^{2} + y^{2} - 4 x + 3 y + 2 = 0

at the point

(4, - 2)

.