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MATHEMATICS
Comptt.
Set III - Outside Delhi

Questions number 1 to 10 carry 1 mark each.

Q. 1. What is the exponent of 3 in the prime factorization of 864?

Ans. Exponent of 3 is 3

Sol.

864 = 25 x33
Exponent of 3 is 3

Q. 2. The graph of the polynomial y = ax2 + bx + c is shown in Fig. 1. Write thevalue of b2 – 4ac

Ans .

b2 – 4ac = 0
y = ax2 + bx + c

Sol.2. The graph touches the x-axis at one point only
Value of b2 – 4ac = 0

Q. 3. Write the values of k for which the quadratic equation x2 – kx + 9 = 0 has equal roots.

Ans. k = 6

Sol. 3. Here ‘a’= 1, b = – k, c = 9
D = 0 …(Equal roots)
b2 – 4ac = 0
(– k)2 – 4(1) (9) = 0 k2 – 36 = 0
k2 = 36 k = 6

Mathematics 2009 Question Papers Class X
Delhi Outside Delhi Compartment Delhi Outside Delhi Foreign
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