Mathematics Tes...

Let A(h, k), B(1, 1) and C(2, 1) be vertices of a right angled triangle with AC as its hypotenuse. If area of triangle is 2, then value of h² + k² can be

Set of values of 'α' for which the angle bisector of the lines (α + 1)x + 2y + 5 = 0 and 4x + αy – 3 = 0 containing origin is also the obtuse angle bisector, is-

A second degree equation

x² + 2xy + y² – 8x – 8y + 12 = 0 represents

Let f(x) is a polynomial function such that   and f(5) = 126, then value of  is-
(where C is an integertion constant)

If   = ƒ(x) + C where ƒ(0) =  and ƒ (C is constant of integration), then

If ƒ(x) =  where ƒ then

Let P and Q be any two points on the lines represented by 2x – 3y = 0 and 2x + 3y = 0 respectively. If area of triangle OPQ, (O is origin) is 5, then equation of locus of mid point of PQ can be :-