Home
Class 12
MATHS
if p^(2)+2q^(2)+5r^(2)+2pq-4qr+6p+6q-2r+...

if `p^(2)+2q^(2)+5r^(2)+2pq-4qr+6p+6q-2r+10le0` for `p,q,r in R` then identify correct option?

A

`p+q^(2)+r^(2)=0`

B

`2q+r+p=0`

C

`r^(p)=3q+p`

D

`2^(3q+p)=p^(2)+r-2q`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

`(p+q+3)^(2)+(q-2r)^(2)+(r-1)^(2)le0`
`r=1`
`q=2`
`p+q+3=0`
`p=-5`
incorrect option is (B)
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos
  • TEST PAPERS

    RESONANCE|Exercise PART - I MATHMATICS|84 Videos
  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos
  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

If (p^(2)+q^(2)), (pq+qr), (q^(2)+r^(2)) are in GP then prove that p, q, r are in GP.

If 6!=2^(p)3^(q)5^(r) then ,p+q+r=

Find the value of (p^(2)+q^(2))/(r^(2)+s^(2)) , if p:q=r:s

If (p ^(2) + q ^(2)) // (r ^(2) + s ^(2)) = (pq) //(rs), then what is the value of (p-q)/(p+q) in terms of r and s ?

If p = -2, q = - 1 and r = 3, find the value of (i) p^(2) + q^(2) - r^(2) (ii) 2p^(2) - q^(2) + 3r^(2) (iii) p - q - r (iv) p^(3) + q^(3) + r^(3) + 3 pqr (v) 3p^(2) q + 5pq^(2) + 2 pqr (vi) p^(4) + q^(4) - r^(4)

Find the value if (p^(2)+q^(2))/(r^(2)+s^(2)) if p:q: : r:s

RESONANCE-TEST PAPERS-Math
  1. Let a,b,c be different nonzero real numbers and x,y,z be three numbers...

    Text Solution

    |

  2. Let f (x) = x^3-x^2-x+1 and g(x) = {max{f(t); 0<=t<=x}, 0<=x<=1, 3-x, ...

    Text Solution

    |

  3. if p^(2)+2q^(2)+5r^(2)+2pq-4qr+6p+6q-2r+10le0 for p,q,r in R then iden...

    Text Solution

    |

  4. Let (log(x)(2a-x))/(log(x)2)+(log(a)(x))/(log(a)2)=(1)/(log(a^(2)-1)2)...

    Text Solution

    |

  5. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

    Text Solution

    |

  6. If number of integral values of x satisfying the inequality ((x)/(100)...

    Text Solution

    |

  7. if alpha+(1)/(alpha) and 2-beta-(1)/(beta)(alpha,betage0) are the root...

    Text Solution

    |

  8. in the given figure y=x^(2)+bx+c is a quadratic polynomial which meets...

    Text Solution

    |

  9. in the given figure y=x^(2)+bx+c is a quadratic polynomial which meets...

    Text Solution

    |

  10. All possible roots of polynomial with integral coefficients can be ide...

    Text Solution

    |

  11. All possible roots of polynomial with integral coefficients can be ide...

    Text Solution

    |

  12. Suppose a series of n terms given by S(n)=t(1)+t(2)+t(3)+. . . .+t(n) ...

    Text Solution

    |

  13. Suppose a series of n terms given by S(n)=t(1)+t(2)+t(3)+. . ..+t(n) ...

    Text Solution

    |

  14. A homogeneous polynomial of the second degree in n variables i.e., the...

    Text Solution

    |

  15. A homogeneous polynomial of the second degree in n variables i.e., the...

    Text Solution

    |

  16. Cosider f(x)=1-e^((1)/(x)-1) Q. If D is the set of all real x such t...

    Text Solution

    |

  17. Cosider f(x)=1-e^((1)/(x)-1) Q. If S is the range of f(x), then S is

    Text Solution

    |

  18. If a f(x+1)+b f(1/(x+1))=x,x !=-1,a != b,then f(2) is equal to

    Text Solution

    |

  19. If x=(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+ . . . y=(1)/(1^(2))+(3)/(2...

    Text Solution

    |

  20. If A is square matrix of order 2xx2 such that A^(2)=I,B=[{:(1,sqrt(2))...

    Text Solution

    |