Home
Class 12
MATHS
If c ,d are the roots of the equation (x...

If `c ,d` are the roots of the equation `(x-a)(x-b)-k=0` , prove that a, b are roots of the equation `(x-c)(x-d)+k=0.`

Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise SELF PRACTICE PROBLEMS: |23 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-1 (PART -1: PRE RMO) |46 Videos

  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then the roots of the equation (x-c-alpha)(x-c-beta)=c are aa n db+c (b) a+ba n db a+ca n db+c (d) a-ca n db-c

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Then the roots of the equation (x-alpha)(x-beta)+c=0 are a ,c (b) b ,c a ,b (d) a+c ,b+c

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then the roots of the equation (x-alpha)(x-beta)+c=0 are a , c b. b , c c. a , b d. a+c , b+c

both roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alpha and betadot

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

If the roots of the equation x^2+a x+b=0 are c and d , then roots of the equation x^2+(2c+a)x+c^2+a c+b=0 are a c b. d-c c. 2c d. 0

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c .

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