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BITSAT Circle PYQs with Solutions

27 previous year questions from Circle (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 Circle PYQs

Circle 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 Circle PYQs with Solutions

About Circle PYQs

Questions by year (this list)

Circle questions with solutions

The locus of the mid-point of a chord of the circle x^2+y^2=4 , which subtends a right angle at the origin is

If p and q be the longest and the shortest distance respectively of the point (-7,2) from any point (α, β) on the curve whose equation is x^2+y^2-10 x-14 y-51=0 , then G.M. of p

From a point A(0,3) on the circle (x+2)^2+(y-3)^2=4 , a chord A B is drawn and it is extended to a point Q such that A Q=2 A B . Then the locus of Q is

The equation of the circle with centre (0,2) and radius 2 is x^2+y^2-m y=0 . The value of m is

A circle touches both the y -axis and the line x+y=0 . Then the locus of its center is

For each parabola y=x^2+p x+q , meeting coordinate axes at 3-distinct points, if circles are drawn through these points, then the family of circles must pass through

The locus of the mid-point of the chord if contact of tangents drawn from points lying on the straight line 4 x-5 y=20 to the circle x^2+y^2=9 is

The equation of the circle, which touches the line y=5 and passes through (-1,2) and (1,2) is

If a chord of the circle x^ 2 +y^ 2 =8 makes equal intercets of length a on the coordinate axes, then

In the given figure, the equation of the larger circle is x^ 2 +y^ 2 +4 y-5=0 and the distance between centres is 4. Then the equation of smaller circle is

If the coordinates at one end of a diameter of the circle x^ 2 +y^ 2 -8 x-4 y+c=0 are (-3,2) , then the coordinates at the other end are

The area of the triangle formed by joining the origin to the point of intersection of the line x 5 + 2y = 3 5 and circle x^ 2 + y^ 2 = 10 & is

Radius of the largest circle which passes through the focus of the parabola y^ 2 = 4x and contained in it, is

If two distinct chords drawn from the point ( p, q ) on the circle x^ 2 + y^ 2 = px + qy (where pq ≠ 0 ) are bisected by the X -axis, then

The line joining (5,0) to ((10 θ, 10 θ) is divided internally in the ratio 2: 3 at P . If θ varies, then the locus of P is

The number of integral values of λ for which ^ 2 + ^ 2 +λ x+(1-λ) y+5=0 is the equation of a ircle whose radius cannot exceed 5, is

The lengths of the tangent drawn from any point on the circle 15 x^ 2 +15 y^ 2 -48 x+64 y=0 to the two circles 5 x^ 2 +5 y^ 2 -24 x+32 y+75=0 and 5 x^ 2 +5 y^ 2 -48 x+64 y+300=0

The length of the chord x+y=3 intercepted by the circle x^ 2 +y^ 2 -2 x-2 y-2=0 is

Area of the circle in which a chord of length 2 makes an angle π / 2 at the centre, is

The angle of intersection of the two circles x^ 2 +y^ 2 -2 x-2 y=0 and x^ 2 +y^ 2 =4, is

A pair of tangents are drawn from the origin to the circle x^ 2 +y^ 2 +20(x+y)+20=0, then the equation of the pair of tangent are

The length of the tangent drawn from any point on the circle x^ 2 +y^ 2 +2 f y+λ=0 to the circle ^ 2 + ^ 2 +2 fy+μ=0, where μ > λ > 0, is

If the line x α+y α=p represents the common chord of the circles x^ 2 +y^ 2 =a^ 2 and ^ 2 + ^ 2 + ^ 2 (a > b), where A and B lie ont he first circle and P and Q lie on the second

For what value of \(k\) the circles \(x²+y²+5 x+3 y+7=0\) and \(x²+y²-8 x+6 y+k=0\) cuts orthogonally

If the lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are tangents to a circle, then the radius of the circle is

The line \(a x+b y=1\) cuts ellipse \(c x²+d y²=1\) only once if

If \(|r| \) land \(x=a+ (a)/(r)+(a)/(r^2)+… to \( ∞ , \( y=b- b r + b r^2 -… . to ∞ and \(z=c+ (c)/(r^2)+(c)/(r^4)+… to \( ∞ , then \( (x y)/(z)=

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