Home
Class 12
MATHS
Find the condition on a , b ,c ,d such t...

Find the condition on `a , b ,c ,d` such that equations `2a x^2+b^2+c x+d=0a n d2a x 62+3b x+4x=0` have a common root.

Text Solution

Verified by Experts

The correct Answer is:
`=(9)/(2)(bd+4c^(2))(b^(2)-ac)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|27 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise Exercise 1|3 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos

Similar Questions

Explore conceptually related problems

Find the condition on a,b,c,d such that equations 2ax^(3)+bx^(2)+cx+d=0and2ax^(2)+3bx+4c=0 have a common root.

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c

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

IF x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=

If the equation x^(2)-4x+5=0 & x^(2)+ax+b=0; a,b in R have a common root.find a and b

If a,b and c are in AP and if the equations (b-c)x^(2)+(c-a)x+(a-b)=0 and 2(c+a)x^(2)+(b+c)x+(a-b)=0 have a common root,then

If a , b , c are in GP, then the equations a x^2+2b x+c=0 and dx^2+2e x+f=0 have a common root, if, d/a , e/b ,f/c are (1985, 2M) AP (b) GP (c) HP (D) None of these