KVPY Government Jobs Exams

In a rectangle ABCD, the coordinates of A and B are (1, 2) and (3, 6) respectively and some diameter of the
circumscribing circle of ABCD has equation 2x – y + 4 = 0. Then the area of the rectangle is

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KVPY Other Question

Let A = (4, 0), B = (0, 12) be two points in the plane. The locus of a point C such that the area of triangle
ABC is 18 sq. units is In the xy-plane, three distinct lines l1, l2, l3 concur at a point (λ, 0). Further the lines l1, l2, l3 are normals to the
parabola y^2 = 6x at the points A = (x1, y1), B = (x2, y2), C = (x3, y3) respectively. Then find λ