A bag contain 6 white and 4 black balls. A fair die is rolled and a number of balls equal to that appearing on the die is chosen from the bag at random. The probability that all the balls selected are white is

The vertex and focus of a parabola are (2, 1), (1, -1). Then the equation of the tangent at the vertex is

If one ticket is randomly selected from, tickets numbered from 1to 30 then the probabilitythat the numbered on the tickets i a multiple of 5 or 7 is

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0, then k=

A person has 3 shares in a lottery containing 2 prizes and 5 blanks. The chance of getting prize is

If P (A) =0.4, P (B) =0.5, P(C) =0.6, P (A∩B) =0.2, P (B∩C) =0.3, P (C∩A) =0.25, P (A∩B∩C) =0.1then P (AUBUC) =

The radical axis of the circles x²+y²-6x-4y-44=0 and x²+y²-14x-5y-24=0 is

Bag A contains4 white, 3black balls.Bag B contains 3 white and 5 black balls.One ball is drawn from each bag .The probability that both are black is

The radius of the sphere x²+y²+z²-2x+4y-6z+7=0 is

The distance of (1, -2) from the common chord of x²+y²-5x+4y-2=0 and x²+y²-2x+8y+3=0 is