Mathematics Test - 10

Consider the following statements regarding the events E, A, B and C .

(i) Event E can take place due to the occurrence of any of the events A, B, C.

(ii) Events A, B and C are equiprobable, mutually exclusive and exhaustive.

(iii) Probability of occurrence of event E is 5/12.

There are two balls in an urn whose colours are not known (each ball can be either white or black). A white ball is put into the urn. A ball is drawn from the urn. The probability that it is white is:-

From the bottom of pole of height h, the angle of elevation of the top of a tower is α. The pole subtends an angle β at the top of the tower. Then the height of the tower is:

Sum of n terms of series 12+16+24+10............ will be-

The plane passing through the point (−2, −2, 2) and containing the line joining the points (1, 1, 1) and (1, −1, 2) makes intercepts on the coordinates axes the sum of whose lengths is-

Sum of the series 

1 + 3 + 6 + 10 + 15 + ……………………….n terms is-

Coordinates of the orthocentre of the triangle whose sides are x = 3, y = 4 and 3x + 4y = 6, will be:

The area bounded by the curves x + 2 |y| = 1 and x = 0 is: