Multiple Choice QuestionsLet 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
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
(
A ray of light along 
get reflected upon reaching X -axis, the equation of the reflected ray is
The number of values of k, for which the system of equations
(k+1) x + 8y = 4k
kx + (k+3)y = 3k -1
has no solution, is
infinite
1
2
2
In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then the angle R is equal to
5π/6
π/6
π/4
π/4
An equation of a plane parallel to the plane x – 2y + 2z – 5 = 0 and at a unit distance from the origin is
x – 2y + 2z – 3 = 0
x – 2y + 2z + 1 = 0
x – 2y + 2z – 1 = 0
x – 2y + 2z – 1 = 0
If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals
29/5
5
6
6
If the line 
and 
intersect, then k is equal to
-1
2/9
9/2
9/2
C.
9/2
To find value of 'k' of the given lines L1 and L2 are intersecting each other.
Let 
⇒ Any point P on line L1 is of type
P(2p+1), 3p-1, 4p+1) and any point Q on line L2 is of type Q (q+3, 2q+k, q).
Since, L1 and L2 are intersecting each other, hence, both points P and Q should coincide at the point of intersection, i.e, corresponding coordinates of P and Q should be same.
2p+1 =q +3,
3p-1 =2q +k
4p+1 = q
solving these we get value of p and q as
p = -3/2 and q = -5
Substituting the values of p and q in the third equation
3p-1 = 2q+k, we get
Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is
3/8
1/5
1/4
1/4
in the plane 2x-y+z+3 =0 is the line
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