Home
Class 12
MATHS
If a, bin{1,2,3} and the equation ax^(2)...

If a, `bin{1,2,3}` and the equation `ax^(2)+bx+1=0` has real roots, then

A

`ageb`

B

`aleb`

C

number of possible ordered pairs (a,b) is 3

D

`altb`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-4)|13 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-7)|1 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-2)|1 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If a,b,c in R : a ne 0 and the quadratic equation ax^2+bx+c =0 has no real root, then show that (a+b+c)c gt 0

Each of a and b can take values 1 or 2 with equal probability. The probability that the equation ax^(2)+bx+1=0 has real roots, is equal to-

Show that the equation e^(x-1)+x-2=0 has no real root greater than 1.

If 2a+3b+6c=0 , show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1.

Let a, b, c be real numbers such that a+b+clt0 and the quadratic equation ax^(2)+bx+c=0 has imaginary roots. Then

The roots of the equation ax^2+bx+c=0 are equal when-

Let a,b and c be real numbers such that 4a+2b+c=0 and ab gt 0 .Then the equation ax^2+bx+c=0 has (A) real roots (B) Imaginary roots (C) exactly one root (D) roots of same sign

If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots, then ax+by+c=0 represents

If a, b , c in R and 3b^(2)-8ac lt 0 , then the equation ax^(4)+bx^(3)+cx^(2)+5x-7=0 has a) all real roots b) all imaginary roots c)exactly two real and two imaginary roots d) none

If one root of the equation ax^2+bx+c=0 is square the other root, then prove that b^3+ac^2+a^2c= 3abc .