Mathematics Tes...

If the lengths of the sides of a triangle are 3, 4, 5 units, then R (the circum-radius) is equal to

In a ΔABC, a = 13 cm, b = 12 cm and c = 5 cm. The distance of A from BC is

In ΔABC, if tan A/2 tan C/2 = 1/2, then a, b, c are in

Area of an equilateral triangle is √3 cm². The length of each side of the triangle is

In a triangle, the lengths of the two larger sides are 10 cm and 9 cm respectively. If the angles of the triangle are in A.P, then the length of the third side (in cm) can be

The lengths of sides of a triangle are in the ratio 5 : 12 : 13 and its area is 270 cm². The respective lengths of sides of the triangle (in cm) are

The number of arbitrary constants in the solution of a differential equation of degree 2 and order 3 is

The order of a differential equation whose solution is y = a cos x + b sin x, where a and b are arbitrary constants, is