Home
Class 12
MATHS
The chord of the curve y=x^(2)+2ax+b. Jo...

The chord of the curve `y=x^(2)+2ax+b`. Joining the points where `x=alpha` and `x=beta`. Is parallel to the tangent to the curve at abseissa x =

A

`(a+b)/(2)`

B

`(2a+b)/(3)`

C

`(2alpha+beta)/(3)`

D

`(alpha+beta)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

The chord of the curve y=x^2+2ax+b , joining the points where x=alpha " and " x=beta , is parallel to the tangent to the curve at abscissa x=

The chord of the curve ax^(2)+bx+c=0 , joining the points x=p and x=q on the curve is parallel to the tangent to the curve at x=c where -

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

show that the tangents to the curve y=2x^3-3 at the point where x=2 and x=-2 are parallel

Show that the tangents to the curve y = 7x^(3) + 11 at the points where x = 2 and x = – 2 are parallel.

Find the slope of the tangent to the curve y= (x-1)/(x-2), x ne 2 at x = 10.

Suppose that the equation f(x)=x^(2)+bx+c=0 has two distinct real roots alpha and beta . The angle between the tangent to the curve y=f(x) at the point ((alpha+beta)/(2),f((alpha+beta)/(2))) and the positive direction of the x -axis is-

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Suppose that the equation f(x)=x^2+bx+c has two distinct real roots alphaandbeta . The angle between the tangent to the curve y = f(x) at the point ((alpha+beta)/2,f((alpha+beta)/2)) and the positive direction of the x-axis is

Using Lagrange's mean value theorem, find a point on the curve y=sqrt(x-2) defined in the interval [2, 3] where the tangent to the curve is parallel to the chord joining the end points of the curve.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. If f''(0)=k,kne0 then the value of lim(xrarr0)(2f(x)-3f(2x)+f(4x))/(x^...

    Text Solution

    |

  2. If y=e^(msin^(-1)x), then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-ky=0. ...

    Text Solution

    |

  3. The chord of the curve y=x^(2)+2ax+b. Joining the points where x=alpha...

    Text Solution

    |

  4. Let f(x)=x^(13)+x^(11)+x^(9)+x^(7)+x^(5)+x^(3)+x+19. Then f(x)=0 has

    Text Solution

    |

  5. Let f(x)={{:(x^(p)/((sinx)^(q))" , if "0ltxle(x)/(2)),(" 0 ,...

    Text Solution

    |

  6. lim(xrarr0)(sinx)^(2tanx)

    Text Solution

    |

  7. intcos(logx)dx=F(x)+c, where c is an arbitrary constant. Here F(x) =

    Text Solution

    |

  8. int(x^(2)-1)/(x^(4)+3x^(2)+1)dx(xgt0) is

    Text Solution

    |

  9. Let l=int(10)^(19)(sinx)/(1+x^(8))dx. Then.

    Text Solution

    |

  10. Let l(1)=int(n)^(n)[x]dxandI(2)=int(0)^(n)|x|dx, where [x] and |x| are...

    Text Solution

    |

  11. The value of lim(nrarroo)[(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+...+(1)/...

    Text Solution

    |

  12. The value of the integral int(0)^(1)e^(x^(2))dx

    Text Solution

    |

  13. int(0)^(100)e^(x-[x])dx =

    Text Solution

    |

  14. Solution of (x+y)^(2)(dy)/(dx)=a^(2) ('a' being a constant) is

    Text Solution

    |

  15. The integrating factor of the first order differential equation x^(2)(...

    Text Solution

    |

  16. In a G.P. series consisting of positive terms, Each term is equal to t...

    Text Solution

    |

  17. If (log(5)x)(log(x)3x)(log(3x)y)=log(x)x^(3). Then y equals

    Text Solution

    |

  18. The expression ((1+i)^(n))/((1-i)^(n-2)) equals

    Text Solution

    |

  19. Let Z=x+iy where x and y are real. The points (x, y) in the X-Y plane ...

    Text Solution

    |

  20. If p. q are odd integers. Then the roots of the equation 2px^(2)+(2p+q...

    Text Solution

    |