Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 12

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

$B$ and $C$ are fixed points having co-ordinates $(3, 0)$ and $(- 3, 0)$ respectively. If the vertical angle $B A C$ is $90 °$ , then the locus of the centroid of the $∆ A B C$ has the equation

50% studentsanswered this correctly

Important Questions on Circle

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 13

If a circle of constant radius

3 a

passes through the origin '

O

' and meets coordinate axes at

A

and

B

then the locus of the centroid of the triangle

O A B

is :

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 14

The area of an equilateral triangle inscribed in the circle

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

is:

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 15

The length of intercept on

y

-axis, by a circle whose diameter is the line joining the points

(- 4, 3)

and

(12, - 1)

is

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 16

l x + m y + n = 0

is a tangent line to the circle

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

, if

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 17

Line

3 x + 4 y = 25

touches the circle

x^{2} + y^{2} = 25

at the point

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 18

The equations of the tangents drawn from the point

(0, 1)

to the circle

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

are

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 19

The greatest distance of the point

P (10, 7)

from the circle

x^{2} + y^{2} - 4 x - 2 y - 20 = 0

is

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 17 - Circle>EXERCISE-1>Q 20

The equation of the normal to the circle

x^{2} + y^{2} = 9

at the point

(\frac{3}{\sqrt{2}}, \frac{3}{\sqrt{2}})

is