Previous year questions with solutions · 2024 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 55 | 19 | 2.9 | 11.58% same as last year |
| 2025 | 55 | 19 | 2.9 | 11.58% ▲ 41.8% vs last year |
| 2024 | 49 | 20 | 2.5 | 8.17% |
Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal intercepts from the coordinate axes. If the length of the chord of C on the line x+y=1 is 14, then the square of the radius of C is .
The absolute difference between the squares of the radii of the two circles passing through the point (-9, 4) and touching the lines x + y = 3 and x - y = 3, is equal to .
Let the centre of a circle, passing through the points (0, 0), (1, 0) and touching the circle x2 + y2 = 9, be (h, k). Then for all possible values of the coordinates of the centre (h, k), 4 (h2 + k2 ) is equal to .
Let the maximum and minimum values of ( 8x - x2 - 12 - 4 )2 + (x - 7)2, x R be M and m, respectively. Then M2 - m2 is equal to .