Mathematics Tes...

If the coefficients of (r +1)th term and (r + 3)th term in the expansion of (1+x)²ⁿ be equal then

In the expansion of (1+x)⁶⁰, the sum of coefficients of odd powers of x is

The middle term in the expansion of (1+x)²ⁿ is

The circumcentre of the triangle with vertices (0, 0), (3, 0) and (0, 4) is

The mid points of the sides of a triangle are (5, 0), (5, 12) and (0, 12), then orthocentre of this triangle is

Area of a triangle whose vertices are (a cos q, b sinq), (–a sin q, b cos q) and (–a cos q, –b sin q) is

The point A divides the join of the points (–5, 1) and (3, 5) in the ratio k : 1 and coordinates of points B and C are (1, 5) and (7, –2) respectively. If the area of ΔABC be 2 units, then k equals

If A(cosa, sina), B(sina, – cosa), C(1, 2) are the vertices of a ΔABC, then as a varies, the locus of its centroid is

Two perpendicular tangents to the circle x²+y² = r² meet at P. The locus of P is