Home
Class 10
MATHS
If alpha,\ beta are the zeros of the pol...

If `alpha,\ beta` are the zeros of the polynomial `f(x)=x^2-p(x+1)-c` such that `(alpha+1)(beta+1)=0` , then `c=` (a) `1` (b) 0 (c) `-1` (d) `2`

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the zeros of the polynomial p(x)=x^(2)-a(x+1)-b such that (alpha+1)(beta+1)=0 then find value of b

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-p(x+1)-c, show that (alpha+1)(beta+1)=1-c

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-p(x+1)-c, show that (alpha+1)(beta+1)=1-c

If alpha and beta are the zeroes of polynomial f(x)=x^(2)-p(x+1)-c then the value of (alpha+1)(beta+1)

If alpha,beta are the zeroes of polynomaial f(x)=x^(2)-p(x+1)-c then the value of (alpha+1)(beta+1) is

If alpha,beta are the zeroes of the polynomial x^(2)-p(x+1)-q , then (alpha+1)(beta+1)=

If alpha, beta are the zeros of the polynomial f(x) = x^2 – 3x + 2 , then find 1/alpha + 1/beta .

If alpha,beta are zeroes of polynomial f(x) =x^(2)-p(x+1)-c , then find the value of (alpha+1)(beta+1) .

If alpha,beta are the zeros of polynomial f(x)=x^(2)-p(x+1)-c, then (alpha+1)(beta+1)=(a)c-1(b)1-c(c)c(d)1+c

If alpha, beta are the zeros of the polynomial f(x) = ax^2 + bx + C , then find 1/alpha^(2) +1/beta^(2) .

RD SHARMA-POLYNOMIAL-All Questions
  1. If alpha and beta are the zeros of the polynomial f(x)=x^2+p x+q , the...

    Text Solution

    |

  2. If alpha,\ beta are the zeros of polynomial f(x)=x^2-p(x+1)-c , then (...

    Text Solution

    |

  3. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

    Text Solution

    |

  4. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for whi...

    Text Solution

    |

  5. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for wh...

    Text Solution

    |

  6. If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4,...

    Text Solution

    |

  7. If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is ,...

    Text Solution

    |

  8. If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)...

    Text Solution

    |

  9. In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

    Text Solution

    |

  10. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

    Text Solution

    |

  11. If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x...

    Text Solution

    |

  12. If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each...

    Text Solution

    |

  13. If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third...

    Text Solution

    |

  14. The product of the zeros of x^3+4x^2+x-6 is (a) -4 (b) 4 (c) 6 (d) ...

    Text Solution

    |

  15. What should be added to the polynomial x^2-5x+4 , so that 3 is the zer...

    Text Solution

    |

  16. What should be subtracted to the polynomial x^2-16 x+30 , so that 15 i...

    Text Solution

    |

  17. A quadratic polynomial, the sum of whose zeroes is 0 and one zero i...

    Text Solution

    |

  18. If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its t...

    Text Solution

    |

  19. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^3+3x^2-5x-15...

    Text Solution

    |

  20. If x+2 is a factor of x^2+a x+2b and a+b=4, then (a) a=1,\ b=3 (b) a=...

    Text Solution

    |