You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Summation by Sigma Method

Suppose x1,...

Question

Suppose $x_{1}, x_{2}$ be the roots of $a x^{2} + b x + c = 0$ and $x_{3}, x_{4}$ be the roots of $p x^{2} + q x + r = 0$ .
If a, b, c are in G.P. as well as $x_{1}, x_{2}, x_{3}, x_{4}$ are in G.P. then p, q, r are in,

A.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

G.P.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

H.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A.G.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B G.P.

Suggest Corrections

Similar questions

Suppose

x_{1}, x_{2}

be the roots of

a x^{2} + b x + c = 0

and

x_{3}, x_{4}

be the roots of

p x^{2} + q x + r = 0

x_{1}, x_{2}, \frac{1}{x_{3}}, \frac{1}{x_{4}}

are in A.P., then

\frac{b^{2} - 4 a c}{q^{2} - 4 p r}

equals,

Suppose

x_{1}, x_{2}

be the roots of

a x^{2} + b x + c = 0

and

x_{3}, x_{4}

be the roots of

p x^{2} + q x + r = 0

x_{1}, x_{2}, \frac{1}{x_{3}}, \frac{1}{x_{4}}

are in A.P, then

\frac{b^{2} - 4 a c}{q^{2} - 4 p r} = ?

If $x_{1}, x_{2}$ are the roots of $a x^{2}$ + bx + c = 0 and $x_{1} + d, x_{2} + d$ are the roots of $p x^{2}$ + qx + r = 0, d $\neq$ 0 then

Q. Let

x_{1}, x_{2}

be the roots of

x^{2} - 3 x + a = 0

and

x_{3}, x_{4}

be the roots of

x^{2} - 12 x + b = 0

x_{1} < x_{2} < x_{3} < x_{4}

and

x_{1}, x_{2}, x_{3}, x_{4}

are in G.P. then

a b

equals

$x_{1}, x_{2}$ are the roots of $x^{2} - 3 x + a = 0$ and $x_{3}, x_{4}$ are the roots of $x^{2} - 12 x + b = 0.$ If $x_{1}, x_{2}, x_{3}, x_{4}$ form an increasing G.P. then ordered pair (a,b) is :

Join BYJU'S Learning Program

Suppose x1,x2 be the roots of ax2+bx+c=0 and x3,x4 be the roots of px2+qx+r=0.If a, b, c are in G.P. as well as x1,x2,x3,x4 are in G.P. then p, q, r are in,

The correct option is B G.P.

Suppose $x_{1}, x_{2}$ be the roots of $a x^{2} + b x + c = 0$ and $x_{3}, x_{4}$ be the roots of $p x^{2} + q x + r = 0$ .
If a, b, c are in G.P. as well as $x_{1}, x_{2}, x_{3}, x_{4}$ are in G.P. then p, q, r are in,