Home
Class 7
MATHS
If P=7x^2+5x y-9y^2,\ Q=4y^2-3x^2-6x y a...

If `P=7x^2+5x y-9y^2,\ Q=4y^2-3x^2-6x y` and `R=-4x^2+x y+5y^2,` show that `P+Q+R=0.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE

    RD SHARMA ENGLISH|Exercise All Questions|51 Videos

Similar Questions

Explore conceptually related problems

If P=7x^2+5xy-9y^2 ,\ Q=4y^2-3x^2-6x y\ and R=-4x^2+x y+5y^2,\ s how\ t h a t\ P+Q+R=0.

Subtract: x^2-3x y+7y^2-2 from 6x y-4x^2-y^2+5

In the algebraic expression 5x^2y+7x y^2-3x y-4y x^2, we have 5x^2y and -4y x^2 as like terms, whereas 7x y^2 and -3x y are unlike terms.

From a point P , tangents drawn to the circle x^2 + y^2 + x-3=0, 3x^2 + 3y^2 - 5x+3y=0 and 4x^2 + 4y^2 + 8x+7y+9=0 are of equal lengths. Find the equation of the circle through P , which touches the line x+y=5 at the point (6, -1) .

Subtract 5x^2 - 4y^2 + 6y - 3 from 7x^2 - 4xy + 8y^2 + 5x - 3y .

Subtract: x^2y-4/5x y^2+4/3x y\ from 2/3x^2y+3/2x y^2-1/3x y

Add: (i) x y^2+4x^2y-7x^2y-3x y^2+3\ a n d\ x^2y+x y^2 (ii) 5x^2+7y-6z^2,\ 4y+3x^2,9x^2+2z^2-9y\ a n d\ 2y-2x^2

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .

The equation of a line which is parallel to the line common to the pair of lines given by 6x^2-x y-12 y^2=0 and 15 x^2+14 x y-8y^2=0 and at a distance of 7 units from it is 3x-4y=-35 5x-2y=7 3x+4y=35 2x-3y=7

The equation of a line which is parallel to the line common to the pair of lines given by 6x^2-x y-12 y^2=0 and 15 x^2+14 x y-8y^2=0 and at a distance of 7 units from it is 3x-4y=-35 5x-2y=7 3x+4y=35 2x-3y=7

RD SHARMA ENGLISH-ALGEBRAIC EXPRESSIONS-All Questions
  1. How much does a^2-3a b+2b^2 exceed 2a^2-7a b+9b^2?

    Text Solution

    |

  2. What must be added to 12 x^3-4x^2+3x-7 to make the sum x^3+2x^2-3x+2?

    Text Solution

    |

  3. If P=7x^2+5x y-9y^2,\ Q=4y^2-3x^2-6x y and R=-4x^2+x y+5y^2, show that...

    Text Solution

    |

  4. If P=7x^2+5xy-9y^2 ,\ Q=4y^2-3x^2-6x y\ and R=-4x^2+x y+5y^2,\ s how\...

    Text Solution

    |

  5. If P=a^2-b^2+2a b ,\ Q=a^2+4b^2-6a b\ , R=b^2+b ,\ S=a^2-4a b and T=-2...

    Text Solution

    |

  6. Put the last two terms of each of the following expressions in the p...

    Text Solution

    |

  7. Write each of the following statement by using appropriate grouping ...

    Text Solution

    |

  8. Place the last two terms in each of the following expressions in par...

    Text Solution

    |

  9. Place the last two terms in each of the following expressions in par...

    Text Solution

    |

  10. Place the last two terms in each of the following expressions in pa...

    Text Solution

    |

  11. Write each of the following statement by using appropriate grouping...

    Text Solution

    |

  12. Simplify each of the following algebraic expressions: (i) (a^2+b^2+...

    Text Solution

    |

  13. Simplify each of the following: -5(a+b)+2(2a-b)+4a-7 -3(a+b)+4(2...

    Text Solution

    |

  14. Simplify each of the following: 2x-{5y-(x-2y)} 2x-[3y-{2x-(y-x)}...

    Text Solution

    |

  15. Simplify each of the following: 1. m-[m+{m+n-2m-(m-2n)}-n] 2. 3...

    Text Solution

    |

  16. Simplify : 15x-[8x^2 + 3x^2 - {8x^2 - (4-2x-x^3)-5x^3}-2x]

    Text Solution

    |

  17. Simplify: 5+[x-{2y-(6x+y-4)+2x^2}-(x^2-2y)]

    Text Solution

    |

  18. Simplify and find the value of the following expression when a=3 and...

    Text Solution

    |

  19. Simplify each of the following algebraic expressions by removing gro...

    Text Solution

    |

  20. Simplify each of the following algebraic expressions by removing gro...

    Text Solution

    |