Let a,b,c and d be non-zero numbers. If the point of intersection of the lines 4ax +2ay +c= 0 and 5bx +2by +d = 0 lies in the fourth quadrant and is equidistant from the two axes, then
2bc-3ad =0
2bc+3ad =0
2ad-3bc =0
2ad-3bc =0
C.
2ad-3bc =0
Let coordinate of the intersection point in the fourth quadrant be (α, -α) lies on both lines 4ax +2ay +c =0 and 5bx +2by +d =0
The locus of the foot of perpendicular drawn from the centre of the ellipse x2+3y2 =6 on any tangent to it is
(x2-y2)2 = 6x2+2y2
(x2-y2)2 = 6x2 -2y2
(x2+y2)2 = 6x2+2y2
(x2+y2)2 = 6x2+2y2
Let C be the circle with centre at(1,1) and radius 1. If T is the circle centred at (0,y) passing through origin and touching the circle externally, then the radius of T is equal to
1/2
1/2
The slope of the line touching both the parabolas y2 = 4x and x2-32y is
1/2
3/2
1/8
1/8
The statement ~ (p↔ ~q) is
equivalent to p ↔ q
equivalent to ~ p ↔q
a tautology
a tautology
A bird is sitting on the top of a vertical pole 20m high and its elevation from a point O n the ground is 45o. It flies off horizontally straight away from the point O. After 1s, the elevation of the bird from O is reduced to 30o. Then, the speed (in m/s of the bird is
(
If α, β ≠ 0 and f(n) = αn+ βn and
= K(1-α)2(1-β)2(α- β)2, then K is equal to
αβ
1/αβ
1
1