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The tangent to the parabola `y^(2)=4ax` at `P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2))` intersect on its axis, themA. `t_(1)=t_(2)`B. `t_(1)=-t_(2)`C. `t_(1)t_(2)=2`D. `t_(1)t_(2)=-1` |
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Answer» Correct Answer - B Tangents at P and Q intersect at `R(at_(1)t_(2),a(t_(1)+t_(2)))`. Since R lies at the axis of the parabola i.e. x-axis `:." "a(t_(1)+t_(2))=0rArrt_(2)=-t_(2)` |
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