CBSE: 10th Class Sample Test Paper - 2011
Arithmetic Progression
Q. 1. Find the roots: (x + 2) / (x – 2) + (x – 2) / (x + 2) = 5/2, x ≠2, x≠ -2
Q. 2. Determine the values of p for which the quadratic equation: 2×2 + p x + 8 = 0 has real roots.
Q. 3. A shopkeeper buys a number of bananas for Rs. 600. If he had bought 10 dozen more bananas for the same amount, each dozen would have cost him Rs. 2 less. Find the number of bananas bought by him.
Q. 4. If the roots of the equation (c2 – ab)x2 – 2(a2 – bc) x + b2-ac = 0 are equal, prove that either a=0 or a3 + b3 + c3=3abc
Q. 5. Find three consecutive positive integers whose product is equal to sixteen times their sum.
Q. 6. A fraction becomes 6/5 if 1 is added to each of the numerator and the denominator. However, if we subtract 5 from each, the fraction becomes 3/2. find the fraction.
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