Mathematics Tes...

if the pair of lines ax² + 2hxy + by² + 2gx + 2fy + c = 0

The circle x² + y² - 8x + 4y + 4 = 0 touches

The foci of the ellipse 25(x+1)² + 9(y+2)² = 225 are

The differential equation of the family of lines passing through the origin is

The area bounded by the curve y = x² - 4x, x-axis and line x = 2 is

The probabilities of solving a problem by three student A,B,C are 1/2, 1/3, 1/4 respectively. The probability that problem will be solved is

If two dice are thrown, find the probability of getting an odd number of on one and multiple of 3 on the other is

If the roots of ax² + bx + c = 0 are α,β and roots of Ax² + Bx + C = 0 are α + K, β + K, then B² - 4AC/b² - 4ac is equal to

The orthocentre of a triangle whose vertices are [(2),((√3-1)/2)], ((1/2),-(1/2)) and (2,-(1/2)) is