Home
Class 10
MATHS
If one of the zeroes of the quadratic po...

If one of the zeroes of the quadratic polynomial `x^2+bx+c`is negative of the other,then
a) b=0 and c is negative b) b=0 and c is positive c)`b!=0` and c is positive d) `b!=0` and c is negative

A

b=0 and c is negative

B

b=0 and c is positive

C

`b!=0 and c is positive`

D

`b!=0 and c is negative

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    R G PUBLICATION|Exercise EXAMPLES|16 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    R G PUBLICATION|Exercise EXERCISE|84 Videos
  • PROBABILITY

    R G PUBLICATION|Exercise EXERCISE|91 Videos

Similar Questions

Explore conceptually related problems

If the zeroes of the quadratic polynomial ax^2+bx+c ,where a!=0 and c!=0 are equal then

The zeros of the quadratic polynomial x^2+99x+127 are a)equal b)positive c)Negative d)One positive and one negative

If zeros of the polynomial x^2-bx+c be reciprocal to each other then b equals to

If one root of the equation ax^2+ bx+ c=0 be n times the other,show that (n+1)^2/n=b^2/(ac)

If alpha and beta are the zeroes of the quadratic polynomial x^2- p(x + 1) - c=0 , show that (alpha + 1)*(beta + 1) = 1-c .

If the zeros of polynomial x^2+bx-c are equal and opposite then b equals to

If 4+sqrt5 is a zero of polynomial. x^3+bx^2-5x+c then find the b and c where b and c are rational numbers.

If alpha and beta are the zeros of the polynomial ax^2+bx+c . If one of the zero of the polynomial is double the other, prove that 2b^2=9ac

The roots of the equation ax^2+bx+c=0 will be reciprocal of each other if a)a=b b)c=a c)b=c d)None of these

Two zeros of polynomial ax^3+bx^2+cx+d are zero then its third zero is a/b b/a -b/a d/c

R G PUBLICATION-POLYNOMIALS-EXAMPLES
  1. If one of the zeroes of the quadratic polynomial x^2+bx+cis negative o...

    Text Solution

    |

  2. Find the zeroes of the quadratic polynomial x^2+7x+12 and verify the r...

    Text Solution

    |

  3. Find the zeroes of the quadratic polynomial p(x)=2x^2+5x-12 and verify...

    Text Solution

    |

  4. Find the zeroes of the quadratic polynomial p(x)=4sqrt3x^2+5x-2sqrt3 a...

    Text Solution

    |

  5. Find the zeroes of the quadratic polynomial p(x)=abx^2+(b^2-ac)x-bc an...

    Text Solution

    |

  6. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  7. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  8. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  9. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+c then ...

    Text Solution

    |

  10. If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then...

    Text Solution

    |

  11. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  12. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  13. If alpha and beta are the zeroes of the quadratic polynomial p(x)=kx^2...

    Text Solution

    |

  14. If the sum of squares of zeroes of the quadratic polynomial p(x)=x^2-8...

    Text Solution

    |

  15. Find the condition that the zeroes of the polynomial f(x)=x^3-px^2+qx-...

    Text Solution

    |

  16. Find the zeroes of the polynomial p(x)=x^3-5x^2-2x+24 if it is given t...

    Text Solution

    |

  17. Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b ...

    Text Solution

    |