Q. If the line $y = 3 x$ cuts the curve $x^{3} + y^{3} + 3 x y + 5 x^{2} + 3 y^{2} + 4 x + 5 y - 1 = 0$ at the points $A, B, C$ such that OA.OB.OC is equal to $(k /13) (33 - 1)$ . Then the value of $k$ is (where ' $O$ ' is origin)

88 165 Straight Lines Report Error

Answer: 4

Solution:

Q. If the line y=3​x cuts the curve x3+y3+3xy+5x2+3y2+4x+5y−1=0 at the points A,B,C such that OA.OB.OC is equal to (k/13)(33​−1). Then the value of k is (where ' O ' is origin)