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 image of line  in the plane 2x-y+z+3 =0 is the line

A bird is sitting on the top of a vertical pole 20m high and its elevation from a point O n the ground is 45^o. It flies off horizontally straight away from the point O. After 1s, the elevation of the bird from O is reduced to 30^o. Then, the speed (in m/s of the bird is

• (

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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

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