If the sum of the roots of the equation x2+ px + gs1) p2-31.3) 64) 246

1.	If the sum of the roots of the equation x2+ px + gs1) p2-31.3) 64) 2462) 2p2 9qpx + q = 0 is 3 times their32,If the difference hetu4)p2 + q2 = 43) 4p2 14qlifference between the
Answer» let the roots be a and b now a+b = -p/1 = -p...... iand ab = q/1 = q.......... ii now ATQ , (a+b) = 3(a-b) => 2a = 4b => a = 2b now putting the value of a and b in eq 1 and 2 we get, 3b = -p or b = -p/3, and from eq...2 , 2b² = qso, 2(-p/3)² = q => 2p²/9 = q or 2p² = 9q. option B.

If the sum of the roots of the equation x2+ px + gs1) p2-31.3) 64) 2462) 2p2 9qpx + q = 0 is 3 times their32,If the difference hetu4)p2 + q2 = 43) 4p2 14qlifference between the

Answer»

let the roots be a and b

now a+b = -p/1 = -p...... iand ab = q/1 = q.......... ii

now ATQ , (a+b) = 3(a-b) => 2a = 4b => a = 2b

now putting the value of a and b in eq 1 and 2 we get, 3b = -p or b = -p/3, and from eq...2 , 2b² = qso, 2(-p/3)² = q => 2p²/9 = q or 2p² = 9q.

option B.