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Line y=mx+c cuts the curve y^2=4ax at A and B.Find the equation of circle with AB as diameter?
Asked by rajaji125 | 06 Nov, 2019, 10:15: AM
answered-by-expert Expert Answer
y=mx+c and y2=4ax
Find the point of intersection of the parabola and line
y equals m x plus c rightwards double arrow y squared equals left parenthesis m x plus c right parenthesis squared space rightwards double arrow 4 a x equals left parenthesis m x plus c right parenthesis squared rightwards double arrow m squared x squared plus 2 m x c plus c squared equals 4 a x rightwards double arrow m squared x squared plus 2 x left parenthesis m c minus 2 a right parenthesis plus c squared equals 0 A s space A space a n d space B space l i e space o n space t h e space p a r a b o l a comma space t h e i r space c o o r d i n a t e s space w i l l space b e A open parentheses a t squared comma 2 a t close parentheses space a n d space B left parenthesis a t subscript 1 squared comma space 2 a t subscript 1 right parenthesis N o w comma space f i n d space t h e space e q u a t i o n space o f space c i r c l e space p a s sin g space t h r o u g h space A space a n d space B.
Answered by Renu Varma | 06 Nov, 2019, 11:01: AM

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