Mathematics Tes...

If the line  intersects the plane 2x + 3y – z + 13 = 0 at a point P and the plane 3x + y + 4z = 16 at a point Q, then PQ is equal to :

Let  in equilateral ΔABC,

A(–1 + acosθ, 2 + asinθ),
B(–1 + acosα, 2 + asinα),
C(–1 + acosβ, 2 + asinβ)

and length of median through vertex A is 2b, then equation of circumcircle of triangle ABC is (where 'a' is consant) -

Length of the normal chord of the parabola y² = 4x, which makes an angle π/4 with x-axis is -

The equation of the perpendicular bisectors of the sides AB and AC of a triangle ABC are y = x and y = –x, respectively. If the point A is (1, 2), then the area of ΔABC is :-

The sum of the series up to ∞ is :

If all roots of the equation 

f(x) = x⁶ – 12x⁵ + bx⁴ + cx³ + dx² + ex + 64 = 0

are positive, then which has greatest numerical (absolute) value :-

then value of f(25) is :-

In the argand plane, all the complex numbers satisfying |z – 4i| + |z + 4i| = 10 lie on-

Number of ways in which 4 people can be select out of 10 people sitting in a row such that exactly two are consecutive ?

If  and det(A) = det(4I), where I is 3 × 3 identity matrix, then (a – b)³ + (b – c)³ + (c – a)³ can be equal to -