14 JEE Main 2023 Parabola previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 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 A be a point on the x -axis. Common tangents are drawn from A to the curves x 2 + y 2 = 8 and y 2 = 16 x . If one o…
Let R be the focus of the parabola y 2 = 20 x and the line y = m x + c intersect the parabola at two points P and Q . L…
The distance of the point 6 , - 2 2 from the common tangent y = m x + c , m > 0 , of the curves x = 2 y 2 and x = 1…
The equations of sides A B and A C of a triangle A B C are λ + 1 x + λ y = 4 and λ x + 1 - λ y + &#…
If the x -intercept of a focal chord of the parabola y 2 = 8 x + 4 y + 4 is 3 , then the length of this chord is equal…
A triangle is formed by the tangents at the point ( 2 , 2 ) on the curves y 2 = 2 x and x 2 + y 2 = 4 x , and the line…
Let P Q be a focal chord of the parabola y 2 = 36 x of length 100 , making an acute angle with the positive x - axis. L…
If P ( h , k ) be point on the parabola x = 4 y 2 , which is nearest to the point Q ( 0 , 33 ) , then the distance of P…
Let S be the set of all a ∈ N such that the area of the triangle formed by the tangent at the point P b , c , b ,…
The equations of two sides of a variable triangle are x = 0 and y = 3 , and its third side is a tangent to the parabola…
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