Home
Class 12
MATHS
If the roots of equation a x^{2}+b x+c=...

If the roots of equation a `x^{2}+b x+c=0 ` are equal and have opposite signs, then which one of the following statements is correct?

A

(a) `b=0`

B

(b) `a=0`

C

(c) `c=0`

D

(d) None of this

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|16 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Single Matching Type Questions|1 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

For a reaction 2A +B to 2C , rate equation is given as Rate = k |A^2|B| , which of the following statement is correct :

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal then a,b,c will be in

If the equation : (a +1) x^2 -(a+2)x+(a+3)=0 has roots equal in magnitude but Opposite in signs, then the roots of the equation are:

If the roots of the equation 1/ (x+p) + 1/ (x+q) = 1/r are equal in magnitude but opposite in sign, show that p+q = 2r & that the product of roots is equal to (-1/2)(p^2+q^2) .

If one root of the equation 6x^2 − 2 x + ( λ − 5 ) = 0 be the reciprocal of the other, then λ =

If the roots of the equation : a(b - c)x^2 +b (c - a)x + c(a - b) = 0 are equal, show that 1/a,1/b,1/c are in A.P.

If 2 - i is a root of the equation ax^2+ 12x + b=0 (where a and b are real), then the value of ab is equal to :

Find the roots of the following equations: x+1/x=3,x!=0

If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r ne 0) are equal in magnitude but opposite in sign, then p + q is equal to :

If one root of the equation x^2+px+12=0 is 4, while the equation x^2+px+q=0 has equal roots, then the value of q is: