Home
Class 12
MATHS
A curve with equation of the form y=a x^...

A curve with equation of the form `y=a x^4+b x^3+c x+d` has zero gradient at the point (0, 1) and also touches the x-axis at the point `(-1,0)` then `a=3` (b) `b=4` `c+d=1` for `x<-1,` the curve has a negative gradient

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

A curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gradient at the point (0,1) and also touches the x -axis at the point (-1,0) then a=3 b.b=4 c.c+d=1 d.for x<-1, the curve has a negative gradient

A curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gradient at the point (0,1) and also touches the x- axis at the point (-1,0) then the value of x for which the curve has a negative gradient are: a.x>=-1 b.x<1 c.x<-1 d.-1<=x<=1

Let parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0) then b-c=

If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the point (1,0), then a+b+c=

If the line x+y=0 touches the curve y=x^(2)+bx+c at the point x=-2 , then : (b,c)-=

The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

Let the parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0). Then a+b+c=0a+b=2b-c=1(d)a+c=-2

The equation of the tangent to the curve y=sec x at the point (0,1) is (a) y=0 (b) x=0 (c) y=1 (d) x=1

RESONANCE DPP-JEE MAINS-All Questions
  1. Line x/a+y/b=1 cuts the co-ordinate axes at A(a,0) and B(0,b) and the ...

    Text Solution

    |

  2. Let (81^(1/((log)5 9))+3^(3/(log(sqrt(6))3)))/(409)dot((sqrt(7))2/((l...

    Text Solution

    |

  3. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradien...

    Text Solution

    |

  4. Complete solution of inequality ||3x-9|+2|>2 is (-oo,oo) (b) {3} (...

    Text Solution

    |

  5. vec axx( vec bxx vec c) , vec bxx( vec cxx vec a) and vec cxx( vec a...

    Text Solution

    |

  6. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then M^9=9/N (b) N^9=9/M M^...

    Text Solution

    |

  7. Let f: R -&gt;[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then ...

    Text Solution

    |

  8. e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (...

    Text Solution

    |

  9. Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...

    Text Solution

    |

  10. The solution set of the equation 4s inthetadotcostheta-2costheta-2sqrt...

    Text Solution

    |

  11. The function f(x) = sin x-x cos x is: (A).maximum or minimum for a...

    Text Solution

    |

  12. Statement-1 : If |x+3|+5=|x+8| then xgeq-3 Statement-2 : |a|+|b|=|a+b...

    Text Solution

    |

  13. The differential coefficient of sin^(-1)t/(sqrt(1+t^2))w.r.t cos^(-1...

    Text Solution

    |

  14. If x/y=(cos A)/(cos B)t h e n(x t a n A+y t a n B)/(x+y)= cot(A+B)/2 ...

    Text Solution

    |

  15. If x^2+a x+10=0 and x^2+b x-10=0 have common root, then a^2-b^2 is equ...

    Text Solution

    |

  16. If the equation sin(cot^(-1)(cot^(-1)(tan^(-1))))=lambda has a soluti...

    Text Solution

    |

  17. If P(x)=a x^2+b x+c&amp;Q(x)=-a x^2+dx+c ,a c!=0, then the equation P...

    Text Solution

    |

  18. If f(x)=x^(11)+x^9-x^7+x^3+1 and f(sin^(-1)(sin8))=alpha,alpha is cons...

    Text Solution

    |

  19. The values of cos^2 73^0+cos^2 47^0-sin^2 43^0+sin^2 107^0 is equal t...

    Text Solution

    |

  20. If vec ar=xr hat i+yr hat j+zr hat k , where r=1,2,3 are three mutual...

    Text Solution

    |