1.

If the lines joining the origin to the points of intersection of the line `y=mx+2` and the curve `x^(2)+y^(2)=1` are at right-angles, thenA. `m^(2)=1`B. `m^(2)=2`C. `m^(2)=7`D. `2m^(2)=1`

Answer» Correct Answer - C
The 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)=((y-mx)/(2))^(2)rArrx^(2)(4-m^(2))+2mxy+3y^(2)=0`
The lines given by the above equation are at right angles.
`therefore" "4-m^(2)+3=0rArrm^(2)=7`


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