Home
Class 12
MATHS
If c gt0 and 4a+clt2b then ax^(2)-bx+c=0...

If `c gt0` and `4a+clt2b` then `ax^(2)-bx+c=0` has a root in the interval

A

(a) (0,2)

B

(b) (2,4)

C

(c) (0,1)

D

(d) (-2,0)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

a, b, c in R, a!= 0 and the quadratic equation ax^2+bx+c=0 has no real roots, then

If ax^(2)-bx+c=0 have two distinct roots lying in the interval (0,1),a,b, ∈ N. The least value of log5 a b c is

Statement I If a gt 0 and b^(2)- 4ac lt 0 , then the value of the integral int(dx)/(ax^(2)+bx+c) will be of the type mu tan^(-1) . (x+A)/(B)+C , where A, B, C, mu are constants. Statement II If a gt 0, b^(2)- 4ac lt 0 , then ax^(2)+bx +C can be written as sum of two squares .

Let alpha + beta = 1, 2 alpha^(2) + 2beta^(2) = 1 and f(x) be a continuous function such that f(2 + x) + f(x) = 2 for all x in [0, 2] and p = int_(0)^(4) f(x) dx - 4, q = (alpha)/(beta) . Then, find the least positive integral value of 'a' for which the equation ax^(2) - bx + c = 0 has both roots lying between p and q, where a, b, c in N .

If ax^(2)+bx+c=0 have two distinct roots lying in the interval (0,1),a,b,c \in N The least value of b is

If ax^2-bx + c=0 have two distinct roots lying in the interval (0,1); a, b,in N , then the least value of a , is

Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx+c=0, beta is the zero of a^2x^2-bx-c=0 and 0 < alpha < beta then prove that the equation a^2x^2+2bx+2c=0 has a root gamma that always satisfies alpha < gamma < beta.

If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of the equation will be real if

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

If equations ax^(2)+bx+c=0 (where a,b,c epsilonR and a!=0 ) and x^(2)+2x+3=0 have a common root, then show that a:b:c=1:2:3