Mathematics Tes...

If the area bounded by y = ax² and x = ay², a > 0, is 1, then a is equal to

A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel, is :

Ten cards numbered 1 through 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number.

A point R with x-co-ordinate 4 lies on the line segment joining the points  P (2, - 3, 4) and Q (8, 0,10). Find the co-ordinates of the point R.

A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5, 3). The coordinates of the point A are

The points A, B and C represent the complex numbers z₁, z₂, (1−i)z₁+iz₂ (where ) respectively on the complex plane. The triangle ABC is :

In the expansion of  the term containing same powers of a and b is -

All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace of spades comes. The probability that the ace comes in the 4th draw is