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BITSAT Parabola PYQs with Solutions

17 previous year questions from Parabola (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

17 questionsMathematics2009–2024Answers + solutions

About Parabola PYQs

Parabola has 17 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 17 questions in this list come from BITSAT (17), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

2024: 2
2023: 2
2022: 2
2020: 1
2019: 1
2018: 1
2016: 2
2015: 1
2014: 1
2013: 1
2011: 1
2010: 1

Parabola questions with solutions

If the focus of parabola (y-k)^2=4(x-h) always lies between the lines x+y=1 and x+y=3 then

BITSAT 2024 Solution View → 2

Let L_1 be the length of the common chord of the curves x^2+y^2=9 and y^2=8 x , and L_2 be the length of the latus rectum of y^2=8 x , then:

BITSAT 2024 Solution View → 3

If vertex of a parabola is (2,-1) and the equation of its directrix is 4 x-3 y=21 , then the length of its latus rectum is

BITSAT 2023 Solution View → 4

The equation of a common tangent to the parabolas y=x^2 and y=-(x-2)^2 is

BITSAT 2023 Solution View → 5

If the straight line y=m x+c touches the parabola y^2-4 a x+4 a^3=0 , then c is

BITSAT 2022 Solution View → 6

A normal is drawn at the point P to the parabola y^2=8 x , which is inclined at 60^ ^ ∘ with the straight line y=8 . Then the point P lies on the straight line

BITSAT 2022 Solution View → 7

The length of the latus rectum of the parabola which has focus at (-1,1) and the directrix is 4 x+3 y-24=0 is

BITSAT 2020 Solution View → 8

Suppose a parabola y = ax^ 2 + bx + c has two x intercepts, one positive and one negative, and its vertex is ( 2, - 2 ) , then which of the following is true?

BITSAT 2019 Solution View → 9

Normals drawn to y ^ 2 = 4ax at the points where it is intersected by the line y = mx + c intersected at P . Coordinates of foot of the another normal drawn to the parabola from

BITSAT 2018 Solution View → 10

The locus of the point of intersection of two tangents to the parabola y^ 2 =4 a x, which are at right angle to one another is

BITSAT 2016 Solution View → 11

The parabola having its focus at (3,2) and directrix along the y -axis has its vertex at

BITSAT 2016 Solution View → 12

Let S be the focus of the parabola ^ 2 =8 x and PQ be the common chord of the circle ^ 2 + ^ 2 -2 x-4 y=0 and the given parabola. The area of Δ P Q S is

BITSAT 2015 Solution View → 13

Through the vertex O of a parabola ^ 2 =4 x , chords OP and O Q are drawn at right angles to one another. The locus of the middle point of PQ is

BITSAT 2014 Solution View → 14

If the line 2 x-3 y=k touches the parabola ^ 2 =6 x, then find the value of k

BITSAT 2013 Solution View → 15

The length of the latus-rectum of the parabola whose focus is \(((u^2)/(2 g) 2 α,-(u^2)/(2 g) 2 α)\) and directrix is \(y=(u^2)/(2 g)\), is

BITSAT 2011 Solution View → 16

If the equations of the pairs of opposite sides of a parallelogram are \(x²-5 x+6=0\) and \(y²-6 y+5=0\), then equations of its diagonals are

BITSAT 2010 Solution View → 17

The line \(3 x-4 y+7=0\) is rotated through an angle \( (π)/(4) \) in the clockwise direction about the point \((-1,1)\). The equation of the line in its new position is

BITSAT 2009 Solution View →

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Parabola in other exams

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