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BITSAT Straight Lines PYQs with Solutions

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

27 questionsMathematics2009–2024Answers + solutions

About Straight Lines PYQs

Straight Lines has 27 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 27 questions in this list come from BITSAT (27), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Straight Lines PYQs with Solutions

About Straight Lines PYQs

Questions by year (this list)

Straight Lines questions with solutions

The locus of the point of intersection of the lines x=a ((1-t^2)/(1+t^2)) and y=(2 a t)/(1+t^2) represent (t being a parameter)

If the straight line 2 x+3 y-1=0, x+2 y-1=0 and a x+b y-1=0 form a triangle with origin as orthocentre, then (a, b) is equal to

The distance from the origin to the image of (1 , 1) with respect to the line x+y+5=0 is

If (-4,5) is one vertex and 7 x-y+8=0 is one diagonal of a square, then the equation of second diagonal is

The coordinates of the foot of the perpendicular from the point (2,3) on the line x+y-11=0 are

What is the angle between the two straight lines y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 ?

If the coordinates of the points A and B be (3,3) and (7,6) , then the length of the portion of the line AB intercepted between the axes is

The distance between the parallel lines 3 x-4 y+7=0 and 3 x-4 y+5=0 is (a)/(b) . Value of a+b is

The points (0,7,10),(-1,6,6) and (-4,9,6) form

A straight rod of length 9 units slides with its endsA, B always on the X and Y-axis respectively. Then the locus of the centroid of Δ OAB is:

The larger of two angles made with the X -axis of a straight line drawn through (1,2) so that it intersects the line x + y = 4 at a point distant 6 / 3 from the point (1,2) is

Straight lines 3x + 4y = 5 and 4x - 3y = 15 ~intersect at the point A . If point B and C are chosen on these two lines such that AB = AC , then the possible equation of the line

OPQR is a square and M, N are the middle points of the sides PQ and QR respectively, then the ratio of the areas of the square and Δ OMN is

Two equal sides of an isosceles triangle are 7x - y + 3 = 0 and x + y - 3 = 0 and its third side passes through the point ( 1, - 10 ) . The equation of the third side is

A ray of light coming from the point (1,2) is reflected at a point A on the x -axis and then passes through the point (5,3) . The co-ordinates of the point A is

If the lines p_ 1 x+q_ 1 y=1, p_ 2 x+q_ 2 y=1 and p_ 3 x+ q_ 3 y=1 be concurrent, then the points (p_ 1 , q_ 1 ),(p_ 2 , q_ 2 ) and (p_ 3 , q_ 3 )

If P_ 1 and P_ 2 be the length of perpendiculars from the origin upon the straight lines x θ+y cosec θ=a and x θ-y θ=a 2 θ respectively, then the value of 4 P_ 1 ^ 2 +P_ 2 ^ 2

The value of λ , for which the lines 3 x-4 y=13,8 x-11 y=33 and 2 x-3 y+λ=0 are concurrent is

The quadratic equation whose roots are the x and yintercepts of the line passing through (1,1) and making a triangle of area A with the co-ordinate axes is

If 4 a^ 2 +b^ 2 +2 c^ 2 +4 a b-6 a c-3 b c=0, the family of lines ax+by+c=0 is concurrent at one or the other of the two points-

If the lines ℓ x+my+n=0, mx+ny+ℓ=0 and nx+ℓ y+m=0 are concurrent then

The nearest point on the line 3 x+4 y=12 from the origin is

The distance of the point \((-1,1)\) from the line \(12(x+6)=5(y-2)\) is

The family of straight lines \((2 a+3 b) x+(a-b) y+2 a-4 b=0\) is concurrent at the point

If \(m\) arithmetic means are inserted between 1 and 31 so that the ratio of the \(7^ th \) and \((m-1)^ th \) means is \(5: 9\), then find the value of \(m\).

The reflection of the point \((4,-13)\) in the line \(5 x+y+6=0\), is

The \(100^ th \) term of the sequence \(1,2,2,3,3,3,4,4\), \(4,4, …\) is

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