Mathematics Tes...

Every continuous function is

Area bounded by the curve xy² = a² (a - x) and y-axis is

Let f(x) = [cos x + sin x], 0 < x < 2π where [x] denotes the greatest integer less than or equal to x. The number of points of discontinuity of f(x) is

The term independent of x in the expansion of ((2x) - (3/x))⁶ is

The lines 2x - 3y = 5 and 3x - 4y = 7 are the diameters of a circle of area 154 square units. The equation of the circle is

Coordinates of two points are A(1,0) and B(-1,0) and Q is a point which satisfies AQ-BQ = + 1. The locus of the point Q is

The equation of tangent at point (1,2) to the parabola y²=4x is

The number of solutions of the equation 

The area bounded by the curve y=sinx, y=0, x=0 and x=(π/2) is

The family of curves, in which the subtangent at any point to any curve is double the abscissa, is given by