RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 18

EASY

RRC Group D CBT

IMPORTANT

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In the equation of the circle $x^{2} + y^{2} + 2 gx + 2 fy + c = 0$ if $g^{2} + f^{2} = c$ .

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Important Questions on Circles

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 19

A point

(x_{1}, y_{1})

is inside the circle

x^{2} + y^{2} + 2 gs + 2 fy + c = 0

if :

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 20

The equation of the circle is

x^{2} + y^{2} - 6 x - 8 y - 11 = 0

Then the point

(0, 0)

is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 21

Any point on the circle

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

can be taken as

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 22

The centre of the circle

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

is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 23

The radius of the circle

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

is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 24

If

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

represents a circle then

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 25

The length of the tangent from an external point

(x_{1}, y_{1})

to the circle

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 18 - Circles>Exercise 1>Q 26

The length of the tangent from

(1, - 1)

to the circle

x^{2} + y^{2} + 8 x + 4 y - 5 = 0

is