Home
Class 12
MATHS
If alpha, beta the roots of equation (k...

If `alpha, beta ` the roots of equation `(k + 1 )x ^(2) -(20k +14) x + 91k+40 =0, (alpha lt beta ) k lt 0,` then answer the following questions.
The larger root `(beta)` lie in the interval :

A

`(4,7)`

B

`(7,10)`

C

`(10,13)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPERHENSION - X)|2 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPERHENSION - XI)|2 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPERHENSION - VIII)|3 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta the roots of equation (k + 1 )x ^(2) -(20k +14) x + 91k+40 =0, (alpha lt beta ) k lt 0, then answer the following questions. The smaller root (alpha) lie in the interval :

If alpha, beta are the roots of equation (k+1)x^(2)-(20k+14)x+91k+40=0,(alpha lt beta),k gt 0 , then the answer the following questions The nature of the roots of this equation is

If alpha, beta are the roots of equation 3x^(2)-4x+2=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha and beta are the roots of the equation x^2-9x+14=0 , find (ii) (alpha-beta)^(2) .

If alpha and beta are the roots of the equation x^2-9x+14=0 , find (ii) (alpha-beta)^(2) .

If alpha and beta (alpha lt beta) are the roots of the equation x^(2) + bx + c = 0 , where c lt 0 lt b , then

If alpha and beta are the roots of the quadratic equation x^(2) + kx - 15 =0 such that alpha - beta = 8 , then what is the positive value of k?

If alpha and beta are the roots of the equation x^2-9x+14=0 , find (i) alpha^2+beta^2