# JEE Main Problems | PARABOLA | 2013 to 2017 | Chapterwise Solutions – By Nitesh Choudhary - Videos

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In this video, we will discuss previous year JEE Main questions of the chapter PARABOLA (questions from year 2013 to 2017).
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JEE Main 2014 Online
A chord is drawn through the focus of the parabola y2 = 6x, such that its distance from the vertex of this parabola is √5/2, then its slope can be
(1) √5/2 (2) √3/2 (3) 2/√5 (4) 2/√3

JEE Main 2016 Paper 2 B. Arch.
Let PQ be a focal chord of the parabola y2 = 4x. If the centre of a circle having PQ as its diameter lies on the line √5y + 4 = 0, then the length of the chord PQ is:
(1) 36/5 (2) 26/5 (3) 36√5/5 (4) 26√5/5

JEE Main 2013 Paper 2 B. Arch.
Let y2 = 16x be a given parabola and L be an extremity of its latus rectum in the first quadrant. If a chord is drawn through L with slope -1, then the length of this chord is
(1) 16√3 (2) 32√2 (3) 32 (4) 16√2

JEE Main 2014 Online
Two tangent are drawn from a point (-2, -1) to the curve (parabola) y2 = 4x. If α is the angle between them, then |tan⁡α | is equal to
(1) 1/3 (2) 1/√3 (3) √3 (4) 3

JEE Main 2013 Online
Statement 1: The line x – 2y = 2 meets the parabola y2 + 2x = 0 only at the point (-2, -2).
Statement 2: The line y=mx-1/2m (m≠0) is a tangent to the parabola y2 = -2x, at the point (-1/2m2, -1/m)
(1) Statement-I is true; Statement-II is true; Statement-II is a correct explanation for Statement-I.
(2) Statement-I is true; Statement-II is true; Statement-II is not a correct explanation for Statement-I.
(3) Statement-I is true; Statement-II is false.
(4) Statement-I is false; Statement-II is true.

JEE Main 2017 Online
If y = mx+c is normal at a point on the parabola y2=8x whose focal distance is 8 units, then |c| is equal to:
(1) 2√3 (2) 8√3 (3) 10√3 (4) 16√3
JEE Main 2013 Online
The point of intersection of the normals to the parabola y2 = 4x at the end of its latus rectum is
(1) (0, 2) (2) (3, 0) (3) (0, 3) (4) (2, 0)
JEE Main 2016 Online
P and Q are two distinct points on the parabola, y2 = 4x, with parameters t and t1 respectively. If the normal at P passes through Q, then the minimum value of t12 is
(1) 4 (2) 6 (3) 8 (4) 2

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