If {c^2} > {a^2}(1 + {m^2}), then line y = mx + c will intersect circle {x^2} + {y^2} = {a^2}

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10-1.Circle and System of Circles

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If ${c^2} > {a^2}(1 + {m^2}),$ then the line $y = mx + c$ will intersect the circle ${x^2} + {y^2} = {a^2}$

A

At one point

B

At two distinct points

C

At no point

D

None of these

Solution

(c) If ${c^2} \le $ or $ > {a^2}(1 + {m^2})$,

then line $y = mx + c$ intersects the circle ${x^2} + {y^2} = {a^2}$ in two points, a point or no point.

Here intersect at no point.

Standard 11

Mathematics

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