CBSE Guess > Papers > Question Papers > Class X > 2005 > Maths > Delhi Set - II

MATHEMATICS—2005 (Set II—Delhi)

 Q. 1. Express the following as a rational expression in lowest terms:

Ans: (X+2)

Q. 2. Find the 6 th from end of the A.P. 17,14, 11,....-40.

Ans: -25

Q. 4. Find the L.C.M. of the following polynomials:

Ans:(x-6) (x+6) (2x+1) (x² +6x+36)

 Q. 6. Find the number of terms of A.P. 64, 60, 56, so that their sum is 544.

Ans:(n = 17 or n = 16)

 Q. 11. Solve the following system of equations graphically:

Find the points where the lines intersect x-axis.

Ans;B(-3,0);C(2,0)

Q. 12. The sum of two numbers is 16. The sum of their reciprocals is. Find the numbers.

Ans:(12 and 4 or 4 and 12)

Q. 20. Find The probability that a number selected from the numbers 1 to 25 is not a prime number when each of given number is equally likely to be selected.

Ans:( 16/25)

Q. 21. Prove that in a triangle, a line drawn parallel to one side to intersect the other two sides in distinct points, divides the two sides in the same ratio.

Using above prove that the quadrilateral ABCD is a trapezium if the diagonals AC and BD of the quadrilateral ABCD intersect each other at O such that