Home
Class 12
MATHS
Let N be the number of quadratic equatio...

Let N be the number of quadratic equations with coefficients from {0, 1, 2, ……..,9} such that zero is a solution of each equation. Then the value of N is

A

infinite

B

`2^(9)`

C

90

D

900

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|65 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

Similar Questions

Explore conceptually related problems

Form a quadratic equation whose roots are -4a n d6.

Find the quadratic equation with rational coefficients whose one root is 1//(2+sqrt(5))dot

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots. Then the equation p(p(x))=0

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0a n dalpha^2,beta is the roots of quadratic equation x^2-q x+8=0 , then the value of rifr/8 is the arithmetic mean of pa n dq , is (83)/2 b. 83 c. (83)/8 d. (83)/4

Form the quadratic equation from the roots given below. 0 and 4

Let z be a complex number satisfying equation z^p=z^(-q),w h e r ep ,q in N ,t h e n (A) if p=q , then number of solutions of equation will be infinite. (B) if p=q , then number of solutions of equation will be finite. (C) if p!=q , then number of solutions of equation will be p+q+1. (D) if p!=q , then number of solutions of equation will be p+qdot

Solve the following quadratic equations by factorization. 25m^(2)=-9 .

The quadratic equation x^2+m x+n=0 has roots which are twice those of x^2+p x+m=0a dm ,na n dp!=0. The n the value of n//p is _____.

Let E={1,2,3,4}a n dF={1,2}dot If N is the number of onto functions from EtoF , then the value of N//2 is

If x=9 is one root of the quadratic equation x^(2)-11x+k=0 , then find the value of k.

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The number of ways in which a committee of 6 members can be formed fro...

    Text Solution

    |

  2. Evaluate the following: ""^(20)C(4)=

    Text Solution

    |

  3. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  4. If ""^(n)C(3)=220, then n = ?

    Text Solution

    |

  5. A polygon has 54 diagonals. Number of sides of this polygon is

    Text Solution

    |

  6. In how many ways can 8 students be arranged in a row?

    Text Solution

    |

  7. The number of different permutations of the word word 'BANANA' is

    Text Solution

    |

  8. Rank of the word " MOTHER " is

    Text Solution

    |

  9. Six X's have to be placed in the squares of the figure below, such tha...

    Text Solution

    |

  10. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  11. The value of sum(n=1)^(oo)(""^(n)C(0)+.......+""^(n)C(n))/(""^(n)P(n))

    Text Solution

    |

  12. Evaluate the following: ""^(20)C(1)=

    Text Solution

    |

  13. The number of triangles which can be formed by using the vertices of a...

    Text Solution

    |

  14. Evaluate the following: ""^(15)C(2)=

    Text Solution

    |

  15. The number of ways in which 21 objects can be grouped into three group...

    Text Solution

    |

  16. Evaluate the following: ""^(105)C(0)=

    Text Solution

    |

  17. Evaluate the following: ""^(10)C(3)=

    Text Solution

    |

  18. The number of permutations of the letters of the word 'CONSEQUENCE' in...

    Text Solution

    |

  19. If n = 5, then (""^(n)C(0))^(2)+(""^(n)C(1))^(2)+(""^(n)C(2))^(2)+.......

    Text Solution

    |

  20. Let n be a natural number. Then the range of the function f(n)=""^(8...

    Text Solution

    |