Home
Class 12
MATHS
If p,q are the roots of the quadratic e...

If `p,q` are the roots of the quadratic equation `x^2 + 2bx + c = 0`, prove that

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the root of the quadratic equation bx^2-2ax+a=0

If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

If alpha,beta are the roots of the quadratic equation x^(2)+bx-c=0, the equation whose roots are b and c, is

If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a = 0 , then the value of p^(2) + q^(2) + pq , is

If p and q are the roots of the quadratic equation ax^(2)+bx+c=0 then lim_(x rarr p)(1+ax^(2)+bx+c)^((1)/(x-p))

if alpha& beta are the roots of the quadratic equation ax^(2)+bx+c=0, then the quadratic equation ax^(2)-bx(x-1)+c(x-1)^(2)=0 has roots

If p and q are the roots of the quadratic equation x^(2)+px-q=0 , then find the values of p and q.

RESONANCE DPP-JEE MAINS-All Questions
  1. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  2. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  3. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |

  4. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |

  5. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  6. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

    Text Solution

    |

  7. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

    Text Solution

    |

  8. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

    Text Solution

    |

  9. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  10. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

  11. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  12. The number of four-digit numbers that can be made with the digits 1...

    Text Solution

    |

  13. The third term of a G.P. is the square of the first term. If the secon...

    Text Solution

    |

  14. Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 w...

    Text Solution

    |

  15. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

    Text Solution

    |

  16. For the 3 events A, B and C, P (atleast one occurring) = 3/4, P(atleas...

    Text Solution

    |

  17. The sum of three numbers in A.P. is 27, and their product is 504, find...

    Text Solution

    |

  18. Find the sum of all those integers between 100 and 800 each of which o...

    Text Solution

    |

  19. Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

    Text Solution

    |

  20. There are two die A and B both having six faces. Die A has three faces...

    Text Solution

    |