21 JEE Main 2019 Circle previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 previous-year questions from the Circle chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Circle chapter hub.
If a circle of radius R passes through the origin O and intersects the coordinate axes at A and B , then the locus of t…
A circle touching the x - axis at ( 3 ,   0 ) and making an intercept of length 8 on the y - axis passes through t…
If the circles x 2 + y 2 - 16 x - 20 y + 164 = r 2   and ( x - 4 ) 2 + y - 7 2 = 36 intersect at two distinct poi…
The sum of the squares of the lengths of the chords intercepted on the circle,   x 2 + y 2 = 16 , by the lines, x…
A circle cuts a chord of length 4 a on the x -axis and passes through a point on the y -axis, distant 2 ~b from the ori…
The tangent and the normal lines at the point 3 ,   1 to the circle x 2 + y 2 = 4 and the x -axis form a triangle…
If a variable line 3 x + 4 y - λ = 0 is such that the two circles x 2 + y 2 - 2 x - 2 y + 1 = 0 and x 2 + y 2 - 18…
A square is inscribed in the circle x²+y²-6 x+8 y-103=0 with its sides parallel to the coordinate axes. Then the distan…
Three circles of radii a ,   b ,   c ,   a < b < c touch each other externally. If they have x -…
The locus of the centres of the circles, which touch the circle, x 2 + y 2 = 1 externally, also touch the y -axis and l…
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