A. 4√2
B. -4√2
C. 2√2
D. -2√2
The point on the parabola y = x2 + 7x + 2 closest to the line y = 3x – 3 is
If the lines 2x + 3y + 12 = 0,x – y + 4k = 0 are conjugate with respect to the parabola y2 = 8x then k =
I .thev locusv of the midpoints of chords of the parabola y2 = 4ax which substends a right angle at the vertex is y2 = 2a (x – 4a)
II. the locus of midpoint of chords of the parabola y2 = 4ax which touch the circle X2 + y2 = a2 is (y2- 2ax)2 = a2 (y2 + 4a2)
The equation of the common tangent to x2+ y2 = 8 and y2 = 16x is
The length of the focal chord of the parbola y2 = 4ax which makes an angle θ with its axis is
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