Home
Class 12
MATHS
If p/a + q/b + r/c=1 and a/p + b/q + c/r...

If `p/a + q/b + r/c=1` and `a/p + b/q + c/r=0`, then the value of `p^(2)/a^(2) + q^(2)/b^(2) + r^(2)/c^(2)` is:

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-1 (PART -II: RMO) |9 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-I: PREVIOUS ASKED QUESTION FOR PRE RMO) |26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise SELF PRACTICE PROBLEMS: |23 Videos

  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

Similar Questions

Explore conceptually related problems

If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find the value of p/(p-a)+q/(q-b)+r/(r-c)dot

if p: q :: r , prove that p : r = p^(2): q^(2) .

a!=p , b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 the value of p/(p-a)+q/(q-b)+r/(r-c)=

If |[p, b, c],[ a, q, c],[ a, b, r]|=0, find the value of p/(p-a)+q/(q-b)+r/(r-c),p!=a ,q!=b ,r!=c dot

The positive integers p ,q and r are all primes if p^2 − q^2 = r , then possible value of r is 3 (b) 5 (c) 7 (d) 1

If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one is correct? a) q r=p^2 b) q r=p^2+c/a c) none of these d) either a) or b)

If cos^-1p+cos^-1q+cos^-1r=pi(0 <= p,q,r <= 1). then the value of p^2+q^2+r^2+2pqr is

The incorrect statement is (A) p →q is logically equivalent to ~p ∨ q. (B) If the truth-values of p, q r are T, F, T respectively, then the truth value of (p ∨ q) ∧ (q ∨ r) is T. (C) ~(p ∨ q ∨ r) = ~p ∧ ~q ∧ ~r (D) The truth-value of p ~ (p ∧ q) is always T

If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratios of roots of p x^2+2q x+r=0, then a. (2b)/(a c)=(q^2)/(p r) b. b/(a c)=(q^)/(p r) c. (b^2)/(a c)=(q^2)/(p r) d. none of these

(a) If r^(2) = pq , show that p : q is the duplicate ratio of (p + r) : (q + r) . (b) If (p - x) : (q - x) be the duplicate ratio of p : q then show that : (1)/(p) + (1)/(q) = (1)/(r) .

RESONANCE ENGLISH-EQUATIONS -EXERCISE-1 (PART -1: PRE RMO)
  1. The number of integer values of a for which x^2+ 3ax + 2009 = 0 has tw...

    Text Solution

    |

  2. The sum of the fourth powers of the roots of the equation x^(3)- x^(2)...

    Text Solution

    |

  3. If a,b,c are real, a ne 0, b ne 0, c ne 0 and a+b + c ne 0 and 1/a + 1...

    Text Solution

    |

  4. If the roots x^5-40 x^4+P x^3+Q x^2+R x+S=0 are n G.P. and the sum of ...

    Text Solution

    |

  5. The number of solutions (x, y) where x and y are integers, satisfying ...

    Text Solution

    |

  6. If p/a + q/b + r/c=1 and a/p + b/q + c/r=0, then the value of p^(2)/a^...

    Text Solution

    |

  7. A cubic polynomial P is such that P(1) = 1, P(2) = 2, P(3) = 3 and P(4...

    Text Solution

    |

  8. Which of the following is the best approximation to ((2^(3)-1) (3^(3)-...

    Text Solution

    |

  9. Given that (1-x) (1+x+x^(2) +x^(3) +x^(4)) = 31/32 and x is a rational...

    Text Solution

    |

  10. Solve the equation 3x^(4) -10x^(3) + 4x^(2) -x-6=0 one root being (1+s...

    Text Solution

    |

  11. Find the smallest integral x satisfying the inequality (x-5)/(x^(2) + ...

    Text Solution

    |

  12. Find integral 'x's which satisfy the inequality x^(4) -3x^(3) -x +3 lt...

    Text Solution

    |

  13. Find the largest integral x which satisfies the following inequality: ...

    Text Solution

    |

  14. Given 3x^(2) +x=1, find the value of 6x^(3) - x^(2) -3x + 2010.

    Text Solution

    |

  15. If 1/x - 1/y=4, find the value of (2x+4xy-2y)/(x-y-2xy).

    Text Solution

    |

  16. Let f(x)=ax^(7)+bx^(3)+cx-5where a,b and c are constants. If f(-7)=7, ...

    Text Solution

    |

  17. If xy = a, xz = b, yz = c and abc ne 0, find the value of x^2 + y^2 +...

    Text Solution

    |

  18. Find the number of positive integers x satisfying the equation 1/x + 1...

    Text Solution

    |

  19. Solve the following equation: (x-1) (x-2)(x-3)(x-4)=15

    Text Solution

    |

  20. Solve the following equation : (x^(2)-3.5 x + 1.5)/(x^(2)-x-6)=0

    Text Solution

    |