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in Mathematics by (56.7k points)

If the tangent at the point P(x1 ,y1 ) to the parabola y2 = 4ax meets the parabola y2 = 4a (x + b) at Q &R,then the midpoint of QR is 

(A) (x1 + b, y1 + b) 

(B) (x1 – b, y1 – b) 

(C) (x1 , y1

(D) (x1 + b, y1 )

1 Answer

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Best answer

Correct Answer is: (C) (x1 , y1 ) 

Tangent at P of y2 = 4ax

yy1 = 2a(x + x1 ) .....(1)

T = S1

yk – 2a(x + h) – 4ab = k2 – 4a(h + b)

yk – 2ax – 2ah + 4ah – k2 = 0

yk – 2ax + 2ah – k2 = 0 ....(2)

(1) & (2) are same

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