JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1

The line

y=m x

intersects the circles

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

and

x^2+y^2+6 x-8 y=0

at points A and B respectively (points being other than origin). The range of '

m

' such that origin divides AB internally is

View answer and explanation

Correct option: A

-1 < m < \frac{3}{4}

Option A (

-1 < m < \frac{3}{4}

) is correct because the origin divides AB internally when the line y=mx lies between the tangents at the origin to the two circles.

More Questions from CIRCLES

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{\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