A normal chord of the parabola `y^2=4ax` subtends a right angle at the – InterviewSolution

InterviewSolution

1.	A normal chord of the parabola `y^2=4ax` subtends a right angle at the vertex if its slope is
Answer» `t_2=-t_1-2/t_1` `m_1m_2=-1` `(2at_1)/(at_1^2)(2at_2)/(at_2^2)=-1` `4=t_1(-t_1-2/t_1)` `4=t_1^2+2` `t_1^2=sqrt2` `t_1=pmsqrt2` `t_1=sqrt2` `t_2=-sqrt2-sqrt2` `t_2=-2sqrt2` `Q(8a,-4sqrt2a)` `P(2a,2sqrt2a)` `m=(6sqrt2)/-6=-sqrt2,sqrt2`

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