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If the lines joining the origin to the intersection of the line $y = m x + 2$ and the curve $x^{2} + y^{2} = 1$ ae at right angles, then

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m2=1

m2=3

m2=7

2m2=1

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detailed solution

Correct option is C

Joint equation of the lines joining the origin and the point of intersection of the line y=mx+2 and thecurve x2+y2=1 isx2+y2=y−mx22⇒ x24−m2+2mxy+3y2=0Since these lines are at right angles4−m2+3=0 ⇒m2=7

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If the lines joining the origin to the intersection of the line y=mx+2 and the curve x2+y2=1 ae at right angles, then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the lines joining the origin to the intersection of the line $y = m x + 2$ and the curve $x^{2} + y^{2} = 1$ ae at right angles, then