A. 4a sin2 θ
B. 4a cos2 θ
C. 4 cos2 θ
D. 4a sec2 θ
L and L’are ends of the latus rectum of the parabola x2 = 6y. the equation of OL and OL’ where O is the origin is
The angle subtended at the focus by the normal chord of a parabola y2= 4ax at a point whose ordinate equal to abscisa is
If P (at21,2at1)and Q (at22,2at2),are variable points on the curve y2 = 4ax and PQ subtends a right angle at the vertex , than t1t2 =
The equation to the normal to the parabola y2 = 4x at (1,2) is
Match the following
The locus of the poles of chords of the parabola y2 = 4ax, which subtend a right angle at the vertex is
If the equation of the parabola whose axis is parallel to x – axis and passing through (2,-1) (6,1) (3, -2) is ay2 + bx + cy + d = 0 then the ascending order of a,b,c,d is
if the focus is (1,-1) and the directrix is the line x + 2y – 9 = 0, the vertex of the parabola is at
I : If the points (2,-1), (5,k) are conjugate with respect to the parabola x2 = 8y then k = 7
II: If the lines 2x + 3y + 12 = 0,x – y + k = 0 are conjugate with respect to the parabola y2 = 8x then k = -12
If the normal at (1,2) on the parabola again at the point (l2,2t), then the value of t is