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The abscissa of any points on the parabo...

The abscissa of any points on the parabola `y^2 = 4ax` are in the ratio `mu` : 1. If the locus of the point of intersection at these two points is `y^2 = ( mu^(1/lambda) + mu^(-1/lambda))^2 ax`. Then find `lambda`

Text Solution

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T at (x,y)
`yy_1=2a(x+x_1)`
atP`(T_1)`
`2at_1y=2a(x+at_1^2)`
`t_1y=x+at_1^2`-(1)
`t_2y=x+at_2^2`
`mut_1y=x+muat_1^2`-(2)
multiplying `mu`with equation 1 and subtracting equation 2
...
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