Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>Multiple Choice II>Q 14

EASY

JEE Main/Advanced

IMPORTANT

Earn 100

If a circle passes through the points of intersection of the co-ordinates axes with the lines $λ x - y + 1 = 0$ and $x - 2 y + 3 = 0$ , then the value of $λ$ is :

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Important Questions on Circle

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>Multiple Choice II>Q 15

The equations of the tangents drawn from the origin to the circle

x^{2} + y^{2} + 2 r x + 2 h y + h^{2} = 0,

are

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>Multiple Choice II>Q 16

The equation of a tangent to the circle

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

passing through

(- 2, 11)

is

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>Multiple Choice II>Q 17

Consider the circles
$C_{1} \equiv x^{2} + y^{2} - 2 x - 4 y - 4 = 0$ and $C_{2} \equiv x^{2} + y^{2} + 2 x + 4 y + 4 = 0$ and the line $L \equiv x + 2 y + 2 = 0$ . Then

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>Multiple Choice II>Q 19

If point

P (x, y)

is called a lattice point if

x, y \in I

. Then the total number of lattice points in the interior of the circle

x^{2} + y^{2} = a^{2}, a \neq 0

can not be :

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>FILL IN THE BLANKS>Q 1

If a variable circle touches externally two given circles, then the locus of the centre of the variable circle is _____

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>FILL IN THE BLANKS>Q 2

If point

P (x, y)

is called a lattice point if

x, y \in I

. Then the total number of lattice point in the interior of the circle

x^{2} + y^{2} = a^{2}, a \neq 0

is of the form

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 4 - Circle>FILL IN THE BLANKS>Q 3

A square is inscribed in the circle

x^{2} + y^{2} - 10 x - 6 y + 30 = 0 .

One side of the square is parallel to

y = x + 3

, then the vertex of the square is: