CBSE X (All India)
MATHEMATICS PAPER 2004.
Time allowed: 3 hours; Maximum Marks: 100
| General Instructions:
|| All questions are compulsory.
|| The question paper consists of 25 questions divided into three parts. Questions
(1-10) 10 questions of 3 marks each. Questions (11-20)10 questions of 4 marks
each. Questions (21-25) 5 questions of 6 marks each.
|| There is no overall choice. However, an internal choice has been provided in each
|| In question on construction, the drawing should be neat and exactly as per the
|| Use of calculator is not permitted. However, you may ask for Mathematical tables.
|| Please give the explanation for
the answer where applicable.
the following system of linear equations:
6(ax + by) = 3a + 2b, 6(bx – ay)
= 3b – 2a
2.Using quadratic formula, solve the
following quadratic equation for x: p2x2 + (p2 – q2)x – q2 = 0
3.If (x – 3) (x + 2) is the GCD
of the polynomials
= (x2 – 2x – 3) (2x2 + ax – 2) and Q(x) = (x2 + x – 2) (3x2 + bx – 3) find the value of a and b.
[P ´ Q ¸ R] as a rational expression in the lowest form.
8th term of an arithmetic progression (A.P.) is 37 and its 12th term is 57. Find the A.P.
6.Find the sum of the first 25 terms of an A.P. whose nth term is
given by tn = 7 – 5n.
electric fan is available for Rs. 600 cash or for Rs. 250 cash down payment
followed by 3 monthly installments of Rs. 125 each. Find the rate of interest
charged under the installment plan.
8.A loan of Rs. 4,200 is to be returned in two equal annual
installments. If the rate of interest is 10% per annum, compounded annually,
calculate the amount of each installment.
9.In figure 1, ABCD is a trapezium in which AB ||DC. The diagonals AC
and BD intersect at O. Prove that
10.In figure 2, AB is a diameter of a circle, with centre O. If ÐABC
= 70°, ÐCAD
= 30° and ÐBAE
= 60°. Find ÐBAC, ÐACD and ÐABE.