Find the equation of tangent to the curve 4x² + 9y² = 36 at the point (3 cos θ, 2 sin ).
Find the equations of tangents to the curve y = (x²– 1) (x – 2) at the points, where the curve cuts the X-axis.
Find the equation of tangent to the curve x² + 3y = 3, which is parallel to line y – 4x + 5 = 0.
Find the equation of the tangent to the curve y = x⁴ – 6x³ + 13x² – 10x + 5 at point x = 1, y = 0.
Find the point on the curve y = x³ – 11x + 5 at which the equation of tangent is y = x – 11.
Find the equations of the normal to the curve x² = 4y which passes through the point (1, 2).
Let A and B are matrices of order 3 x 2 and 2 x 4 respectively. Write the order of matrix (AB).
Is A is square matrix of order 3 and |2A| = k|A|, then find the value of k.
Let A = {1, 2, 3, 4}. Let R be the equivalence relation on A × A defined by (a, b)R(c, d) if a + d = b + c. Find the equivalence class [(1,3)].