19 JEE Main 2022 Parabola previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 previous-year questions from the Parabola chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Parabola chapter hub.
Let P a , b be a point on the parabola y 2 = 8 x such that the tangent at P passes through the centre of the circle x 2…
Two tangent lines l 1 and l 2 are drawn from the point 2 , 0 to the parabola 2 y 2 = - x . If the lines l 1 and l 2 are…
If y = m 1 x + c 1 and y = m 2 x + c 2 ,   m 1 ≠ m 2 are two common tangents of circle x 2 + y 2 = 2 and par…
If the tangents drawn at the points P and Q on the parabola y 2 = 2 x - 3 intersect at the point R 0 , 1 , then the ort…
The tangents at the points A 1 , 3 and B 1 , - 1 on the parabola y 2 - 2 x - 2 y = 1 meet at the point P . Then the are…
Let P 1 be a parabola with vertex 3 , 2 and focus 4 , 4 and P 2 be its mirror image with respect to the line x + 2 y =…
Let x = 2 t , y = t 2 3 be a conic. Let S be the focus and B be the point on the axis of the conic such that S A ⊥…
Let P : y 2 = 4 a x ,   a > 0 be a parabola with focus S .Let the tangents to the parabola P make an angle of…
If the equation of the parabola, whose vertex is at 5 , 4 and the directrix is 3 x + y - 29 = 0 , is x 2 + a y 2 + b x…
If two tangents drawn from a point α , β lying on the ellipse 25 x 2 + 4 y 2 = 1 to the parabola y 2 = 4 x ar…
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