The three vertices of a parallelogram ABCDABCDABCD taken in order are A(2,0)A(2,0)A(2,0), B(6,0)B(6,0)B(6,0) and C(4,−4)C(4,−4)C(4,−4). Find the coordinates of the fourth vertex DDD.
In the given figure, XYXYXY and X′Y′ are two parallel tangents to a circle with center O and another tangent AB with the point of contact C intersects XY at A and X′Y′ at B. Find the measure of ∠AOB.
The perimeters of the ends of the frustum of a cone are 7.04cm and 9.24cm. If the height of the frustum is 24cm, find its find its volume (Take π=227).
According to a meteorological report for 600 consecutive days in a year, its weather forecasts were correct 66 times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was correct on that day?
Faces of a cube are marked with A,B,C,D,E and F. Two views of cube are as shown below, if face F is opposite to face A, what will be there on the bottom when E is at the top?