1.

If the normals drawn at the points t_(1) & t_(2) on the parabola y^(2)=4axmeet the parabola again at its point t_(3), then t_(1)t_(2) equals:

Answer»

2
`-1`
`-2`
`t_(3)-(2)/(t_(3))`

Solution :LET NORMAL at t meets the parabola again at `t_(3)`
`:.t_(3)= -t-(2)/(t) "" :.t^(2)+t_(3)*t+2=0`
`t_(1)&t_(2)` are the roots of the EQUATION
`:.t_(1)t_(2)=2 `


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