Question

Two perpendicular tangents PA and PB are drawn to curve y² = kx, where k is maximum value of (2$\sqrt{3}$sin q + 2cos q) and if p is the length of AB satisfying in equation log₂log₃log₄ p < 0, then the range of p is-

• A. (0, 32)
• B. (0, 64)
• C. [4, 64)
• D. (4, 64)

Answer 1

Answer: (C)

[4, 64)

Answer 2

k = $\sqrt{(2\sqrt{3})^{2} + (2)^{2}}$ = 4

As AB is the focal chord of the parabola y² = 4x so p ³ 4

\ Also log₂ log₃ log₄ p < 0 ̃ p < 64

̃ p Î [4, 64)