Practice Questions

A copper wire is bent in the form of an equilateral triangle and has an area of 121_/3 cm^2. If the same wire is bent into the form of a circle, the area enclosed by the wire in cm^2 is

If ABC is an equilateral triangle and P,Q,R respectively denote the mid points of AB,BC,CA then

For a triangle ABC, D and E are two points on AB and AC such that AD=AB/4 , AE=AC/4. If BC=12cm then DE is

If there are 4 lines in a plane, then what cannot be the number of points of intersection of these lines

If x=t^3 and y=t^4 then d^2y/dx^2 at t=2 is

BC is a segment in a circle with centre O with B & C being points on circle.A is a point on major arc BC. What is the value of

Three solid spheres of radius 3, 4 and 5cm are melted and recasted into a solid sphere.What will be the percentage decrease in surface area

Internal bisector of angle Q and angle R of triangle PQR intersect at O. If ROQ is 96 degree, than value of angle RPQ

5 persons will live in a tent. If each person require 16m^2 of floor area and 100m^3 space for air then the height of the cone of smallest size to accommodate these persons would be

Q is the centroid of ABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9cm and 12cm respectively, then the length of AB is