Home
Class 10
MATHS
Find the values of x and y (if p!=0 and ...

Find the values of x and y (if `p!=0` and `q!= 0` )
`p(x+y)+q(x-y)=p^(2)-pq+q^(2)`
`p(x+y)-q(x-y)=p^(2)+pq+q^(2)`

A

`x=(q^(2))/(2p),y=p-(q^(2))/(2p)`

B

`x=(q^(2))/(2p),y=(p^(2))/(2q)`

C

`x=(p)/(q),y=(p)/(q^(2))`

D

`x=(q^(2))/(2p),y=p+(q^(2))/(2p)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SIMPLE AND SIMULTANEOUS EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Level 1) |34 Videos
  • REMAINDER THEOREM

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos
  • STANDARD AND ALLIED ANGLES

    CENGAGE|Exercise Olympiad And NTSE Level Exercises|10 Videos

Similar Questions

Explore conceptually related problems

If x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)= ?

If two distinct chords,drawn from the point (p, q) on the circle x^(2)+y^(2)=px+qy (where pq!=q) are bisected by the x -axis,then p^(2)=q^(2)(b)p^(2)=8q^(2)p^(2) 8q^(2)

Solve the following system of equations.(x)/(p)+(y)/(q)=1p(x-p)-q(y+q)=2p^(2)+q^(2)

Solve the following system of equations.(x)/(p)+(y)/(q)=1p(x-p)-q(y+q)=2p^(2)+q^(2)

If H.C.F. of p and q is x and q=x y , then the L.C.M. of p and q is p q (b) q y (c) x y (d) p y

If x^(p)y^(q)=(x+y)^(p+q) , prove that (dy)/(dx)=(y)/(x)

Solve for x and y:(q)/(p)x+(p)/(q)y=p^(2)+q^(2);x+y=2pq

If x^(p) + y^(q) = (x + y)^(p+q) , " then" (dy)/(dx) is

If AM and GM of x and y are in the ratio of p:q, then x:y is

CENGAGE-SIMPLE AND SIMULTANEOUS EQUATIONS -TEST YOURSELF Multiple Choice Questions
  1. Find the value of k for which given set of equations will have infinit...

    Text Solution

    |

  2. Find the value of k for which the following two lines are coincident. ...

    Text Solution

    |

  3. Find the values of alpha and beta for which the given set of eauation ...

    Text Solution

    |

  4. Find the value of m for which the given set of equations has no soluti...

    Text Solution

    |

  5. Find the values of x and y (if p!=0 and q!= 0 ) p(x+y)+q(x-y)=p^(2)-...

    Text Solution

    |

  6. There is a certain two - digit number sum of whose digits is 11. If 45...

    Text Solution

    |

  7. ABCD (taken in order) is a cyclic quadrilateral in which angleA=(x+y+1...

    Text Solution

    |

  8. Ratio of present ages of a father and his son is 3:1 after 15 years, t...

    Text Solution

    |

  9. If the length of a rectangle is increased by 3 metres and the breadth ...

    Text Solution

    |

  10. In a triangle PQR, angleR is greater than angleQ by 9^(@). If angleP=a...

    Text Solution

    |

  11. Which of the following is correct ?

    Text Solution

    |

  12. If x men can do a piece of work in y days, in how many days will x men...

    Text Solution

    |

  13. Find the values of x and y is (5)/(y)-(2)/(x)=(7)/(6) and (36)/(x)-(24...

    Text Solution

    |

  14. A fraction becomes 2 when 9 is added to its number ator and 1 when 2 i...

    Text Solution

    |

  15. What should be the value of p if 3x+2y=8 and 6x+4y=p have infinitely m...

    Text Solution

    |

  16. What should be value of m in the pair of equations to have unique solu...

    Text Solution

    |

  17. If the sum of two numbers is 640 and their difference is 280, then the...

    Text Solution

    |

  18. A certain number of two digits is four times the sum of the digits. If...

    Text Solution

    |

  19. Six years ago a man was three times as old as his son. In 6 years, he ...

    Text Solution

    |

  20. The total salary of 15 men and 8 women is Rs. 3050. the difference of ...

    Text Solution

    |