Home
Class 12
MATHS
If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `ax ^(2) + bx + c =0,` then find the value of `(1)/(alpha ^(2)) + (1)/(beta ^(2)).`

Text Solution

Verified by Experts

The correct Answer is:
`(b ^(2) - 2 ca )/( c ^(2))`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION B|7 Videos
  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION C|7 Videos
  • MODEL PAPER 10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C (III. LONG ANSWER TYPE QUESTIONS) |9 Videos
  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION C|14 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the root sof the equation ax ^(2) + b x + c =0, then find the value of (alpha ^(2) + beta ^(2))/( alpha ^(-2) + beta ^(-2)).

If alpha, beta are the roots of the equation ax^(2)+bx+c=0 , find the value (1)/(alpha^(2))+(1)/(beta^(2)) expressions in terms of a,b,c.

IF alpha , beta are the roots of ax ^(2) +bx + c =0 then alpha ^2 + beta ^2=

If alpha, beta, gamma are the roots of the equation x^(3) - ax^(2) + bx -c = 0 , then sum alpha^(2) (beta + gamma)=

If alpha, beta are the roots of the equation x^(2) + x + 1 = 0 then prove that alpha^(4) + beta^(4) + alpha^(-1) beta^(-1) = 0 .

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is

IF alpha , beta are the roots of the equation ax ^2 + bx +c=0 , then the value of the determinant |(1, cos ( beta - alpha ), cos alpha ),( cos (alpha- beta ),1,cos beta ),( cos alpha , cos beta , 1)|