CAT Question of the Day Let p = n4 + 4 n Here n is a natural number greater than 1. Which of the following statement(s) is(are) definitely true? - p is a composite number for all possible n.
- p is prime number only for one odd value of n.
- p is prime number only for one odd value of n.
| OPTIONS | | |  | 1) | 1 only | | | 2) | 2 and 3 | | | 3) | 2 only | | | 4) | None of the statements are definitely true |
Tip of the Day A quadrilateral is said to be a cyclic quadrilateral if it is possible to draw a circle passing through all the four vertices of the quadrilateral. In a cyclic quadrilateral, opposite angles are supplementary and the external angle is equal to the interior opposite angle. Last year's Question of the day (21-Jul-11) Tangents are drawn from a point P on x2 + y2 = 4r2 to the circle x2 + y2 = r2. The tangents touch the smaller circle at points Q and R. The centroid of ΔPQR
| OPTIONS | | | | | 1) | is at a distance r from chord QR. | | | 2) | does not lie on line joining the origin and point P. | | | 3) | lies on x2 + y2 = r2
| | | 4) | is at a distance 1.5r from P |
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