Question

Find the valueof m, if the lines joining the origin and the points ofintersection of y = mx + 1 and x2 + y2 = 1 perpendicular to one another.

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Answer 1

Step-by-step explanation:

Joint equation of the lines joining the origin and the point of intersection of the line y=mx+2 and

the curve x

2

+y

2

=1 is

x

2

+y

2

=(

2

y−mx

)

2

x

2

(4−m

2

)+2mxy+3y

2

=0

Since these lines are at right angles

4−m

2

+3=0⇒m

2

=7