Geometrical Applications

JEE Main Mathematics · Differential Equations · 4 questions, latest first

• Let a conic C pass through the point (4,-2) and P(x, y), x ≥ 3, be any point on C. Let the slope of the line touching the conic C…20246 April, Shift 1 · Q27
• Let Y=Y(X) be a curve lying in the first quadrant such that the area enclosed by the line Y-y=Y^′(x)(X-x) and the co-ordinate…202430 January, Shift 2 · Q27
• Let the tangent at any point P on a curve passing through the points (1,1) and (1/10, 100), intersect positive x -axis and y…202310 April, Shift 2 · Q27
• Let a curve y=f(x), x ∈(0, ∞) pass through the points P(1, 3/2) and Q(a, 1/2). If the tangent at any point R(b, f(b)) to the…20236 April, Shift 2 · Q25