If a + b + c = 6, find the maximum value of a3b2c, where all a, b and c are positive real numbers.

In the expansion of (a + b + c)20, find A.Number of terms?B. Sum of the coefficients

In a triangle ABC, BD and CE are the two medians which intersect each other at right angle. AB=22, AC=19, Find BC.

Given that AD // PQ // BC, and PQ divides Trapezium ABCD into two equal areas. Find the length of PQ.

ABCD is a trapezium AB||CD . M is the mid point on AD and N on BC. O is the point on MN . Area of triangle BNO =4 cm² and DMO = 3cm² . What ...

The length of the line joining the midpoints of the non-parallel sides of an isosceles trapezium is 24. If the aforementioned line divides the trapezi...

For a trapezium, S1 denotes the sum of the squares of the sides and S2 denotes the sum of the squares of the diagonals. S1 – S2 = 576. If the longer p...

In a trapezium ABCD, AB||CD, AB = 2010 cm, CD = 1000 cm, ∠DAB = 40° and ∠ABC = 50°. What is the length of the line joining the midpoints of AB and CD?...

The non-parallel sides of a trapezium of perimeter 34 cm are equal. The line segment joining the mid-points of the non-parallel sides is 12 cm. If the...

In a trapezium PQRS, PQ is parallel to RS, PQ = 20 cm, RS = 3 cm, PQR = 30° and QPS = 60°. What is the length of the line joining the midpoints of PQ ...

An equilateral triangle PQR of side 25 cm is divided into 2 parts such that one of them is an equilateral triangle containing one of the vertices of t...

In a trapezium ABCD, AD||BC, ∠DAB and ∠ADC are acute angles. If AB and DC are extended to intersect at E and then perpendicular from E is drawn to AD....