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

If the probability for A to fail in one exam is 0.2 and that of B is 0.3, then the probability that either A or B fails is