Quadratic EquationHard
Question
Let α, β be the roots of the equation ax2 + 2bx + c = 0 and γ, δ be the roots of the equation px2 + 2qx + r = 0. If α, β, γ, δ are in G.P., then -
Options
A.q2 ac = b2 pr
B.qac = bpr
C.c2 pq = r2 ab
D.p2 ab = a2 qr
More Quadratic Equation Questions
For what value of a the sum of roots of the eqn. x2 + 2 (2 − a − a2)x − a2 = 0 is zero -...Let $S = \left\{ x^{3} + ax^{2} + bx + c:a,b,c \in N \right.\ $ and $a,b,c \leq$ 20 } be a set of polynomials. Then the ...Let α and β be the roots of equation x2 - 6x - 2 = 0. If an = αn - βn, for n ≥ 1, then the val...The smallest positive integral value of a , for which all the roots of $x^{4} - {ax}^{2} + 9 = 0$ are real and distinct,...If α, β are roots of the equation x2− mx + n = 0, then value of (1 + α + α2) (1+ β + ^...