CBSE Class-10th Previous years Question Papers MATHEMATICS—2005 (Set III — Delhi)

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Author: Vikas Ahlawat(Hi)
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Filed under: Class – 10th Sample Papers, Previous years Question Papers

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(X-3)(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 x-axis.

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 = 4-5 cm, prove that area of is one-sixteenth of the area of