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pritomrit bora Grade: 12
        

p(x y) and q(x" y' )'are two points on the parabola y2=4ax and r(x'''y''' ) is a point on the arc PQ such that the tangent at R to the parabola is parallel to the chord PQ show that x''' is a.m of x and x'

6 years ago

Answers : (1)

Aman Bansal
592 Points
										

dear pritomrit,


comparing the  slopes calculated from both the cases


1. m=(y''-y')/(x''-x')


2. and also the equation of tangent is 2yy'''=2a(x+x''')


from this equation slope is a/y


3 also using relation y2= 4ax


thus we can form e relation between x,x',x'''


thus can be solved


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AMAN BANSAL

6 years ago
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