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Straight Lines — BITSAT Mathematics PYQs

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

Straight Lines — BITSAT Mathematics PYQs

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 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 )

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

O P Q R is a square and M , N are the middle points of the sides P Q and Q R respectively, then the ratio of the areas of the square and &#916; O M N is

Two equal sides of an isosceles triangle are 7 x - 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 ), (p₂, q₂ ) and (p₃, q₃ )

If P₁ and P₂ be the length of perpendiculars from the origin upon the straight lines x +y cosec =a and x -y =a 2 respectively, then the value of 4 P ₁²+ P ₂²

The value of , for which the lines 3 x-4 y=13,8 x-11 y=33 and 2 x-3 y+ =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 a²+b²+2 c²+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 x + my + n =0, mx + ny + =0 and nx + 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

O P Q R is a square and M , N are the middle points of the sides P Q and Q R respectively, then the ratio of the areas of the square and Δ O M N is