Q no 7 7 The tangent at the point P(x1, y1) to the parabola y2 = 4ax - Maths - Conic Sections

Question

Q no 7
7 The tangent at the point P(x1, y1) to the
parabola y2 = 4ax meets the parabola y2 = 4a
(x + b) at Q and R, the coordinates of the mid-point of QR are
(A) (x1 - a, y1 + b) (B) (x1,
y1)
(C) (x1 + b, y1 + a) (D) (x1 - b,
y1 - b)

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59ef84fa38713%20png"
style="width: 577px; height: 844px;">
But y12=4ax1hence mid point becomesx1,y12y1=x1,y1 Answer

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Q no 7 7. The tangent at the point P(x1, y1) to the parabola y2 = 4ax meets the parabola y2 = 4a (x + b) at Q and R, the coordinates of the mid-point of QR are (A) (x1 - a, y1 + b) (B) (x1, y1) (C) (x1 + b, y1 + a) (D) (x1 - b, y1 - b)

Q no 7
7. The tangent at the point P(x₁, y₁) to the parabola y² = 4ax meets the parabola y² = 4a (x + b) at Q and R, the coordinates of the mid-point of QR are
(A) (x₁ - a, y₁ + b) (B) (x₁, y₁)
(C) (x₁ + b, y₁ + a) (D) (x₁ - b, y₁ - b)