Home
Class 10
MATHS
In a rectangle ABCD, AB = x + y, BC = x ...

In a rectangle ABCD, AB = x + y, BC = x - y, CD = 9 and AD = 3. Find the values of x and y.

Text Solution

Verified by Experts

The correct Answer is:
x = 6 and y = 3.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise OBSERVATION BITS TO SOLVE VARIOUS BITS GIVEN IN THE PUBLIC EXAMINATION|30 Videos

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS FOR CCE MODEL EXAMINATION|130 Videos

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise OPTIONAL EXERCISE|8 Videos

  • PROGRESSIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise PROGRESSIONS (MULTIPLE CHOICE QUESTION)|20 Videos

  • QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)|20 Videos

Similar Questions

Explore conceptually related problems

If (x+1, y-2)=(3,1), find the values of x and y.

If x=1, y=2 find the value of: xy+3y-9

In triangle ABC ,DE | | AB and AD= 9 + 8x, DC = 3 + x, CB = 4 + 3x, EC = x. Then find the value of x.

Find the value of x^2-y+2 if x=0 and y=-1

If x=1, y=2 find the value of: x^2+y^2

In the figures given below AB || CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons

In the figures given below AB |\| CD . EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons :

Find the value of xy+y^2x if x=1, y=0

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS-OBSERVATION MATERIAL TO SOLVE VARIOUS QUESTIONS GIVEN IN THE PUBLIC EXAMINATION
  1. Two angles are complementary and one angle is 18^(@) more than the oth...

    Text Solution

    |

  2. If b^(2) - 4ac gt 0 "in" ax^(2) + bx + c = 0, then what can you say a...

    Text Solution

    |

  3. Find the value of k, if 2 is one of the roots of the quadratic equatio...

    Text Solution

    |

  4. In a rectangle ABCD, AB = x + y, BC = x - y, CD = 9 and AD = 3. Find t...

    Text Solution

    |

  5. Write the nature of roots of the quadratic equation 2x^(2) - 5x + 6 = ...

    Text Solution

    |

  6. Write the nature of the roots of the quadratic equationx^(2) - 8x + 16...

    Text Solution

    |

  7. Find sum and product of roots of the Quadratic equation x^(2) 4 sqrt...

    Text Solution

    |

  8. Find the roots of x + 6/x = 7, x ne 0

    Text Solution

    |

  9. Length of a rectangle is 2 units greater than its breadth. If the area...

    Text Solution

    |

  10. If 9x^(2) + kx + 1 = 0 has equal roots, find the value of k.

    Text Solution

    |

  11. If the measure of angles of a triangle are x^(@), y^(@) and 40^(@) and...

    Text Solution

    |

  12. The sum of a number and its reciprocal is 10/3 Find the number.

    Text Solution

    |

  13. Is it possible to design a rectangular genden, whose length is twice o...

    Text Solution

    |

  14. If the equation kx^(2) - 2kx + 6 = 0 has equal roots, then find the va...

    Text Solution

    |

  15. Find the zeroes of the quadratic polynomial x^2-x-30 and verify the re...

    Text Solution

    |

  16. Find the roots of the following quadratic equations, if they exist, by...

    Text Solution

    |

  17. Sum of the squares of two consecutive positive even integers is 100 , ...

    Text Solution

    |

  18. The perimeter of a right- angled triangle is 60 cm. and its hypotenuse...

    Text Solution

    |

  19. If - 4 is common root for the quadratic equations 2x^(2) + px + 8 = 0 ...

    Text Solution

    |

  20. Sum of squares of two consecutive even numbers is 580. Find the number...

    Text Solution

    |