CBSE Guess > Papers > Question Papers > Class X > 2005 > Maths > Delhi Set  III MATHEMATICS—2005 (Set III — Delhi) Except for the following questions, all the remaining questions have been asked in Set 1 and Set 2. Q. 1. Express the following as a rational expression in lowest terms: Ans:(X+2) Q. 2. Find the 8th term from end of the A.P. 7, 10, 13, ...,184. Ans:(163) Q. 4. Find the L.C.M. of the following polynomials: Ans:[3(X3)(X+3)(X+6)(X2+3X+9) Q. 6. Find the number of terms of the A.P. 63, 60, 57, ..., so that their sum is 693. Ans(n = 21 or n = 22) Q. 11. Solve the following system of equations graphically: Find the points where the lines meet the xaxis. Ans:C(4,0);B(3,0) Q. 12. The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers. Ans:(6,12; 12,6) Q. 20. There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3. Ans:[2/3 Q. 21. Prove that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides. Apply the above theorem on the following: ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3 cm, AQ = 1 5 cm, QC = 45 cm, prove that area of is onesixteenth of the area of
Mathematics 2005 Question Papers Class X
CBSE 2005 Question Papers Class X
