The equation common tangent the parabola and the circle

Multiple Correct Answer Type

This section contains Multiple correct answer(s) type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONE OR MOre

(A) (−2, 1) (B) (−3/2, 1)

(C) (−3/2, 2) (D) (−3/2, 0)

Y = ± 2a ⇒ y – 1 = ± 2 × 1/2

⇒ y = 0 or y = 2.

24. x² + ky + 8 = 0

x² = -k

CODE MP(B)

TANGENT, NORMAL, CHORD OF CONTACT, CHORD WITH GIVEN MID POINT,

25. (A, C)

25. Equation of tangent in terms of slope of y² = 8x is y = mx + ... (i)

(A) m = 1 (B) m =

(C) m = - (D) m = 1/

∴ coefficient of x² + coefficient of y² = 0.

⇒ 2m + m³ - 4m = 0

(C) (4, 6) (D) (1/4, 3/2)

27. (A, B)

c) The circum circle of triangle formed by three tangents of a parabola passes through focus of the parabola.

d) length of subnormal at any point on a parabola is equal to latus rectum of the parabola.

d)

CODE MP(C)

MISC.

LEVEL-I

27. Any tangent to the parabola at is

28. The equation of a common tangent to the parabola y² = 2x and the circle x² + y² + 4x = 0 is:

(A) (B)