LIST I | LIST II | ||
A. | The angle between the straight lines, 2x2+ 3y2-7xy=0 is | I. | \(\tan^{-1}\frac{3}{5}\) |
B. | The circles x2+y2+x+y=0 and x2+y2 +x-y=0 intersect at angle | II. | 25π |
C. | The area of circle centered at (1,2) and passing through (4,6) is | III. | π/4 |
D. | The parabola y2=4x and x2 =32y intersect at point (16,8) at angle | IV. | π/2 |
If \( x^2 = -16y \) is an equation of a parabola, then:
(A) Directrix is \( y = 4 \)
(B) Directrix is \( x = 4 \)
(C) Co-ordinates of focus are \( (0, -4) \)
(D) Co-ordinates of focus are \( (-4, 0) \)
(E) Length of latus rectum is 16
Two parabolas have the same focus $(4, 3)$ and their directrices are the $x$-axis and the $y$-axis, respectively. If these parabolas intersect at the points $A$ and $B$, then $(AB)^2$ is equal to: