Home
Class 12
MATHS
Let a gt 0, b gt 0, c gt 0. Then both th...

Let `a gt 0, b gt 0, c gt 0`. Then both the roots of the equation `ax^2+ bx + c = 0` are

A

real and negative

B

real and positive

C

retional numbers

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS( Fill in the blanks : )|5 Videos
  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS( CHOOSE THE INCORRECT STATEMENT : )|5 Videos
  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 3.7|10 Videos
  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 5 MARKS|4 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 5 marks )|5 Videos

Similar Questions

Explore conceptually related problems

If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are

Let a, b, c in R and alpha, beta are the real roots of the equation ax​2 + bx + c = 0 and if a + b + c > 0, a – b + c >0 and c < 0 then [alpha] + [beta] is equal to (where [.] denotes the greatest integer function.)

If 8 and 2 are the roots of x^(2) + ax + c = 0 and 3,3 are the roots of x^(2) + dx + b = 0, then the roots of the equation x^(2) + ax + b = 0 are

Let a, b, c be real numbers with a = 0 and let alpha,beta be the roots of the equation ax^2 + bx + C = 0 . Express the roots of a^3x^2 + abcx + c^3 = 0 in terms of alpha,beta

If a, b and c are in geometric progression and the roots of the equation ax^(2) + 2bx + c = 0 are alpha and beta and those of cx^(2) + 2bx + a = 0 are gamma and delta

If the equation x^2 + bx + ca = 0 and x^2 + cx + ab = 0 have a common root and b ne c , then prove that their roots will satisfy the equation x^2 + ax + bc = 0 .

If a,b and c are distinct positive real numbers in A.P, then the roots of the equation ax^(2)+2bx+c=0 are

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

Let alpha , beta (a lt b) be the roots of the equation ax^(2)+bx+c=0 . If lim_(xtom) (|ax^(2)+bx+c|)/(ax^(2)+bx+c)=1 then

If -i + 2 is one root of the equation ax^2 - bx + c = 0 , then the other root is …………