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A normal chord of the parabola y^2=4ax s...

A normal chord of the parabola `y^2=4ax` subtends a right angle at the vertex if its slope is

Text Solution

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`t_2=-t_1-2/t_1`
`m_1*m_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`
...
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