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QD + AP

Name


Q1. A real root of the equation


Q2. The roots of the given Equation


Q3. If the roots of the given equation are real then


Q4. A two digit number is four times the sum and three times the product of its digits. The number is


Q5. If the roots of the given equation are reciprocal to each other, then the value of k will be


Q6. is a perfect square for how many values of k


Q6. is a perfect square for how many values of k


Q7. The harmonic mean of the roots of the equation


Q8. Three positive number whose sum is 21 are in arithmetic progression. If 2, 2, 14 are added to them respectively then resulting numbers are in geometric progression. Then which of the following is not among the three numbers?


Q.9The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G2 = 27, then the two numbers are


Q.10 Suppose that m and n are fixed numbers such that the mth term am is equal to n and nth term an is equal to m, (m≠n), the the value of (m+n)th term is


Q11. An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Then what is the common difference?


Q12. Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is −1/2 , then the greatest number amongst them is


Q.13 If the 10th term of an A.P. is 1/20 and its 20th term is 1/10 , then the sum of its first 200 terms is:


Q.14 If (x+1) is a factor the p is equal to