Home
Class 12
MATHS
Maximum number of real solution for the ...

Maximum number of real solution for the equation
`ax^(n)+x^(2)+bx+c=0,"where "a,b,c in R ` and n is an even positive number, is

A

2

B

3

C

4

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|37 Videos

  • TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)|125 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Maximum number of real solution does the equation x^(7)+ax^(5)+bx^(3)+cx-d=0 can have?

Find maximum number of real solutions for the equation ax^(n)-bx^(2)+cx-d=0 , when n is a positive even number (n gt 2) .

The maximum number of real roots of the equation x^(2n) -1 = 0 , is

Every quadratic equation ax^(2) + bx + c = 0 ," where "a, b, c in R has

The number of solution of the equation 2a+3b+6c=60 , where a, b,c in N , is equal to

Let a, b, c be non-zero real roots of the equation x^(3)+ax^(2)+bx+c=0 . Then

If a+b+c=0 then check the nature of roots of the equation 4ax^(2)+3bx+2c=0 where a,b,c in R

If ax^(2)+bx+c=0,a,b,c in R has no real zeros,and if c 0

FIITJEE-TIPS-OBJECTIVE
  1. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

    Text Solution

    |

  2. If u=sqrt(a^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

    Text Solution

    |

  3. f(x)={:{(2-,|x^(2),+,5x,+,6|",",xne-2),(a^(2),+1",",x=-2):},then the r...

    Text Solution

    |

  4. If f[1, oo)rarr[1, oo) is defined by f(x)=2^(x(x-1)) then f^(-1)(x)=

    Text Solution

    |

  5. Let f(x)={{:(x^(2)-ax+1",", x lt 0),(b(1-x)^(3)",", x ge0):}. If is a ...

    Text Solution

    |

  6. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

    Text Solution

    |

  7. int(e^(x)(x-1)(x-lnx))/(x^(2))dx is equal to

    Text Solution

    |

  8. Range of the function f(x)= x cos( 1/x), xgt1

    Text Solution

    |

  9. lim(xrarroo)(sqrt(x+sqrtx)-sqrtx) is

    Text Solution

    |

  10. Let f(x)=2x^(1//3)+3x^(1//2)+1. The value of lim(hrarr0)(f(1+h)-f(1-h)...

    Text Solution

    |

  11. If a function f:R rarr R determined by equation f(x)=-f(|x|) us

    Text Solution

    |

  12. Let f be a differentiable function satisfying f(xy)=f(x).f(y).AA x gt...

    Text Solution

    |

  13. IF a function is symmetric about the x =2 and x = 3, then the function...

    Text Solution

    |

  14. int(dx)/((1+sqrtx)^(8))=

    Text Solution

    |

  15. Let a1=1, an=n(a(n-1)+1 for n=2,3,... where Pn=(1+1/a1)(1+1/a2)(1+1/a3...

    Text Solution

    |

  16. If f(x)=sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(...

    Text Solution

    |

  17. If f(x)=([{x}]tan^(-1)((x^(2)-3x-1)/(x^(2)-3x+5))+3-x^(7))^((1)/(7)). ...

    Text Solution

    |

  18. (1)/(x)=("2 e")/("3 !")+("4 e")/("5 !")+("6 e")/("7 !")+….oo, then fin...

    Text Solution

    |

  19. If the integral int(b)^(oo)(sqrt(sqrtx+a)-sqrtx)-sqrt(sqrtx-sqrt(x-b))...

    Text Solution

    |

  20. Tangents PA and PB are drawn to the circle x^(2)+y^(2)=4 from an exter...

    Text Solution

    |