Mathematics Tes...

The equations of the tangents of the parabola y² = 12x, which passes through the point (2,5).

The focal chord to y² = 16xis tangent to (x - 6)² + y² = 2, then the possible values of the slope of this chord, are

If P(1) = 0 and then value of x for which is P(x) > 0 satisfy interval

If 5a + 4b + 20c = t, then the value of t for which the line ax + by + c - 1 = 0 always passes through a fixed point is

If f(x) is a polynomial satisfying f (x) f (1/x) = f (x) + f (1/x) and f (2) > 1, 

The equation of the pair of straight lines parallel to the y - axis and which are tangents to the circle x² + y² - 6x - 4y - 12 = 0 is :

The number of common tangents that can be drawn to the circles x² + y² - 4x - 6y - 3 = 0 and x² + y² + 2x + 2y + 1 = 0 is :

The distance between the circumcentre and orthocentre of the triangle whose vertices are (0, 0), (6, 8) and (-4, 3) is

Set of values of x for which sin^-1x > cos^-1x is

If n is a positive integer and C_k = ⁿC_k, then