CBSE [ Delhi ]_X_Mathematics_2008_Set II

Find the value of k, so that the following system of equations has no solution: 3x – y –5 = 0; 6x – 2y – k = 0.

The n^th term of an AP is 6n + 2. Find its common difference.

In Figure, AD = 4 cm, BD = 3 cm and CB = 12 cm, find cot.

Write the zeroes of the polynomial x² – x – 6.

If (p/q) is a rational number (q 0), what is the condition on q so that the decimal representation of (p/q) is terminating?

From a well shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen.

Which measure of central tendency is given by the x-coordinate of the point of intersection of the “more than ogive” and “less than ogive”?

In figure, O is the centre of a circle. The area of sector OAPB is 5/18 of the area of the circle. Find x.

In figure, P and Q are the points on the sides AB and AC respectively of ABC such that AP = 3.5 cm, AQ = 3 cm, PB = 7 cm and QC = 6 cm. If PQ = 4.5 cm, find BC.