Home
Class 10
MATHS
If (1)/(x) + ( 2)/(y) = 4 and ( 3)/...

If ` (1)/(x) + ( 2)/(y) = 4 and ( 3)/(y) - (1)/(x) = 11 ` then

A

` x = 2, y = 3`

B

` x = - 2 , y = 3 `

C

` x = (-1)/(2), y = - 3 `

D

` x = (-1)/(2), y = (1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Putting ` (1)/(x) = u and (1)/(y) = v `, we get `u + 2v = 4 and - u + 3v = 11`.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise QUESTION|2 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3F|21 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

  • MEAN,MEDAN,MODE OF GROUPED,DATA CUMULATIVE FREQUENCY GRAPH AND OGIVE

    RS AGGARWAL|Exercise Test Yourself|18 Videos

Similar Questions

Explore conceptually related problems

(2olve:)/(x+y)-(1)/(x-y)=11 and (5)/(x+y)+(4)/(x-y)=8

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

(1) / (3x + y) + (1) / (3x-y) = (3) / (4) (1) / (2 (3x + y)) - (1) / (2 (3x-y) )) = - (1) / (8)

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

If x = (2)/(3) and y = (3)/(4), then a rational number (x – y) ^(-1) + (x ^(-1) – y ^(-1)) is equal to

Solve the following system of equations: (1)/(3x+y)+(1)/(3x-y)=(3)/(4),quad (1)/(2(3x+y))-(1)/(2(3x-y))=-(1)/(8)

If x = (2)/(3) and y = (3)/(4) , then a rational number (x-y)^(-1)+(x^(-1)- y^(-1)) is equal to

RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Multiple Choice Questions (Mcq)
  1. If x - y = 2 and (2)/(x + y ) = (1)/(5) then

    Text Solution

    |

  2. If ( 2x )/(3) - ( y )/(2) + (1)/(6)= 0 and (x)/(2) + ( 2y )/(3...

    Text Solution

    |

  3. If (1)/(x) + ( 2)/(y) = 4 and ( 3)/(y) - (1)/(x) = 11 then

    Text Solution

    |

  4. If (2x + y + 2)/(5) = ( 3x - y + 1)/( 3 ) = ( 2 x + 2y + 1 )/(6)...

    Text Solution

    |

  5. Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ...

    Text Solution

    |

  6. If 4x + 6y = 3 xy and 8x + 9y = 5xy then

    Text Solution

    |

  7. If 29 x + 37y = 103 and 37x + 29y = 95 then

    Text Solution

    |

  8. If 2^(x + y ) = 2^(x - y ) = sqrt8 then the value of y is

    Text Solution

    |

  9. If (2)/(x) + (3)/(y) = 6 and (1)/(x) + (1)/(2y) = 2 then

    Text Solution

    |

  10. The system kx - y = 2 and 6x - 2y = 3 has a unique solution on...

    Text Solution

    |

  11. The system x - 2y = 3 and 3x + ky = 1 has a unique sol...

    Text Solution

    |

  12. For what value of k does the system of equations x+2y=3 and 5x + ky + ...

    Text Solution

    |

  13. If the lines given by 3x+2ky= 2 and 2x+5y+1=0 are parallel, then the ...

    Text Solution

    |

  14. For what value of k do the equations kx-2y = 3 and 3x + y = 5 represen...

    Text Solution

    |

  15. The pair of equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has

    Text Solution

    |

  16. The pair of equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has

    Text Solution

    |

  17. If a pair of linear equations is consistent then their graph lines...

    Text Solution

    |

  18. If a pair of linear equations is inconsistent then their graph l...

    Text Solution

    |

  19. In a Delta ABC, angle C = 3 angle B = 2 (angle A + angle B), the...

    Text Solution

    |

  20. In a cyclic quadrilateral ABCD, it is being given that angle A =...

    Text Solution

    |