In the figure BC=a,CD=b.Then prove that a=3b.

In the figure, BC=12 cm, BD=3 cm. Area of triangle ABC is 80 sq.cm. a) What is BD : DC? b) Find the area of triangle ADC.

In the figure, BC is the diameter of the circle. angle ABC=angle B C D, BC=10cm,AB=6 cm , what is the distance between the chords A B and CD.

In the quadrilateral ABCD,AB and CD are parallel. angleA+angleC=190^o If AD=BC , then prove that a circle an be drawn through the points A,B,C and D. .

In the figure AD is the bisector of angle A . If AB = 5.6 cm, AC = 4 cm, CD = 3 cm. find BC.

If a,b,c in R^(+) form an A.P then prove that a+1 /(bc) , b+1 /(ac) , c+1 /(ab) are also in A.P

In the figure ABCD is a rectangle. AB= 6 cm, BC=4 cm . P is the midpoint of CD. a) What is the area of triangle APB? b) What is the area of triangle PAD? c) If AQ: Q B=1: 2, then what is the area of the quadrilateral AQPD?

If f(x) is continuous in [a, b] and differentiable in (a, b), then prove that there exists at least one c in (a, b) "such that" (f'(c))/(3c^(2)) = (f(b) - f(a))/(b^(3) - a^(3)) .