Home
Class 9
MATHS
If a + b +c =9 and ab + bc + ca =26, the...

If `a + b +c =9 and ab + bc + ca =26,` then find `a ^(2) + b ^(2) + c ^(2).`

Text Solution

Verified by Experts

The correct Answer is:
29
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS AND FACTORISATION

    NCERT TELUGU|Exercise THINK DISCUSS AND WRITE|4 Videos

  • POLYNOMIALS AND FACTORISATION

    NCERT TELUGU|Exercise DO THESE|22 Videos

  • POLYNOMIALS AND FACTORISATION

    NCERT TELUGU|Exercise EXERCISE 2.4|9 Videos

  • LINES AND ANGLES

    NCERT TELUGU|Exercise THINK, DISCUSS AND WRITE|3 Videos

  • PROBABILITY

    NCERT TELUGU|Exercise EXERCISE 14.1|21 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=9 and ab + bc + ca = 26, find a^2 + b^2 +c^2.

If a + b + c = 12 and ab + bc + ca = 47 , find a^2 + b^2 + c^2 .

If a,b,c are in H.P and ab + bc ca = 15, then ca =

Without expanding the determinant, prove that {:[( a, a ^(2), bc ),( b ,b ^(2) , ca),( c, c ^(2) , ab ) ]:} ={:[( 1, a^(2) , a^(3) ),( 1,b^(2) , b^(3) ),( 1, c^(2),c^(3)) ]:}

Find the product (2a + b+c) (4a ^(2) + b ^(2) + c ^(2) - 2ab -bc -2ca)

If a,b,c are three vectors such that a + b + c = 0, |a| = 1, |b| = 2, |c| = 3 then a.b+ b.c + c.a =

NCERT TELUGU-POLYNOMIALS AND FACTORISATION -EXERCISE 2.5
  1. Use suitable idntities to find the following products (i) (x +5) (x ...

    Text Solution

    |

  2. Evaluate the following products without actual multiplication. (i) 1...

    Text Solution

    |

  3. Factorise the following using appropriate identities. (i) 16x ^(2) +...

    Text Solution

    |

  4. Expand each of the following, using suitable identities (i) (x + 2y+...

    Text Solution

    |

  5. Fractorise (i) x ^(2) + 5x + 4 (ii) 9x ^(2) - 25 (iii) 25 a ^(2)...

    Text Solution

    |

  6. If a + b +c =9 and ab + bc + ca =26, then find a ^(2) + b ^(2) + c ^(2...

    Text Solution

    |

  7. Evaluate the following using suitable identites.(ii) (102) ^(3)

    Text Solution

    |

  8. Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2)b + 6a...

    Text Solution

    |

  9. Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) ...

    Text Solution

    |

  10. Faactorise (i) 27a ^(3) + 64 b ^(3) (ii) 343 y ^(3) -1000 using th...

    Text Solution

    |

  11. Factorise 27 x ^(3) + y ^(3) + z ^(3)-9 xyz using identitiy.

    Text Solution

    |

  12. Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(...

    Text Solution

    |

  13. If x+y+z=0 show that x^(3)+y^(3)+z^(3)=3xyz.

    Text Solution

    |

  14. Without actual calculating the cubes, find the vlaue of each of the fo...

    Text Solution

    |

  15. Gi ven possible expressions for the length and breadth of the rectangl...

    Text Solution

    |

  16. What are the possible polynomial expressions for the dimensions of the...

    Text Solution

    |

  17. If 2 (a ^(2) + b ^(2)) = (a+b)^(2), then show that a =b

    Text Solution

    |