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JEE MATHEMATICS MCQ: CIRCLES

1 Easy

1 of 1

Application +4 | -1

The line

3x - 2y = k

meets the circle

{x^2} + {y^2} = 4{r^2}

at only one point, if

{k^2}

is

View answer and explanation

Correct option: B

52\,{r^2}

Option B (

52\,{r^2}

) is correct because it is the value of

{k^2}

when the line is tangent to the circle.

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\left( {\alpha ,2{\alpha ^2}} \right)

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is One of the diameter of the circle

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

is The locus of the middle point of the chords of the circle

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

such that the chords pass through a given point

\left( {{x_1},{y_1}} \right)

\quad \alpha, \beta

\gamma

are the parametric angles of three points

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, and R respectively, on the circle

x^2+y^2=1

A

(-1,0)

. If the lengths of the chords

A P, A Q

A R

G P

\cos \alpha / 2, \cos \beta / 2

\cos \gamma / 2

are in The radius of the circle passing through the point (6,2), two of whose diameters are

x+y=6

x+2 y=4

is If a circle has two of its diameters along the lines

x+y=5

x-y=1

9 \pi

, then the equation of the circle is