Home
Class 12
MATHS
If x^2+p x+q=0 is the quadratic equation...

If `x^2+p x+q=0` is the quadratic equation whose roots are `a-2a n d b-2` where `aa n db` are the roots of `x^2-3x+1=0,` then `p-1,q=5` b. `p=1,1=-5` c. `p=-1,q=1` d. `p=1,q=-1`

A

`p=1,q=5`

B

`p=1,q=-5`

C

`p=-1,q=1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • THEORY OF EQUATIONS

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

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+px+q=0 is the quadratic equation whose roots are a-2 and b-2 where a and b are the roots of x^(2)-3x+1=0, then p-1,q=5 b.p=1,1=-5 c.p=-1,q=1 d.p=1,q=-1

If p and q are the roots of the equation x^2-p x+q=0 , then p=1,\ q=-2 (b) b=0,\ q=1 (c) p=-2,\ q=0 (d) p=-2,\ q=1

The value of p and q(p!=0,q!=0) for which p,q are the roots of the equation x^(2)+px+q=0 are (a)p=1,q=-2(b)p=-1,q=-2(c)p=-1,q=2(d)p=1,q=2

If a + b ne 0 and the roots of x^(2) - px + q = 0 differ by -1, then p^(2) - 4q equals :

Find the value of p for which the quadratic equation (p+1)x^(2)+-6(p+1)x+3(p+q)=0,p!=-1 has equal roots.Hence,find the roots of the equation.

If a,b are the roots of x^(2)+px+1=0 and c d are the roots of x^(2)+qx+1=0, Then ((a-c)(b-c)(a+d)(b+d))/(q^(2)-p^(2))

Suppose that the quadratic equations 3x^(2)+px+1=0 and 2x^(2)+qx+1=0 have a common root then the value of 5pq-2p^(2)-3q^(2)=

If one common root of the equations 3x^(2)+px+2=0 and -3x^(2)+qx+2=0 is alpha and product of other roots of equations is -1, then (a)p=5,q=-1(b)p=-5,q=-1(c)q=1,p=-5 (d) q=1,p=5