Answer-I. 2p2 + 5p + 2 = 0 II. 2q2 + 11 q + 14 = 0

I. 2p2 5p 2 0 2p 1 p 2 0 p - 12 or -2 II. 2q2 11 q 14 0 q 2 2q 7 0 q -2 or - 7 2 Hence, p q Alternate Method if signs of quadratic equation is ve and ve respectively then the roots of equation will be -ve and -ve. So, roots of first equation p -12, -2 if signs of quadratic equation is ve and ve respectively then the roots of equation will be -ve and -ve. So, roots of second equation q -2, -72 After comparing roots of quadratic eqution we can conclude that p q.

Question

I. 2p2 + 5p + 2 = 0 II.

2q2 + 11 q + 14 = 0 In each question two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer.

A if p = q

B if p > q

C if q > p

D if p ≥ q

E if q ≥ p

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