JEE MATHEMATICS MCQ: CIRCLES

1 Easy

1 of 1

Application +4 | -1

Tangents

P A

and

P B

are drawn to the circle

x^2+y^2=8

from any arbitrary point

P

on the line

x+y=4

. The locus of the mid-point of chord of contact

A B

View answer and explanation

Correct option: B

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

Option A (

x-\sqrt{3} y=1

) is correct because it is a tangent to the circle

(x-3)^2+y^2=1

and is perpendicular to the tangent at P.

More Questions from CIRCLES

Practice All Chapter MCQs →

{\left( {{\alpha ^2}{x^2} - 2\alpha \mathrm{ }x + 1} \right)^{51}},

x

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

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

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

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

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

\quad \alpha, \beta

\gamma

P, Q

x^2+y^2=1

A

(-1,0)

A P, A Q

A R

G P

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

\cos \gamma / 2

x+y=6

x+2 y=4

x+y=5

x-y=1

9 \pi