Home
Class 12
MATHS
Two curves C1: y=x^2-3\ a n d\ C2\ : y\ ...

Two curves `C_1: y=x^2-3\ a n d\ C_2\ : y\ k x^2\ ,\ k in R` intersect each other at two different points. The tangent drawn to `C_2` at one of the points of intersection `A\ -=` `(a , y_1),(a >0)` meets `C_1` again at `B\ (1, y_2)\ (y_1!=y_2)dot` The value of `' a '` is 1 (b) 3 (c) 5 (d) 7

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Find the point of intersection of the tangents drawn to the curve x^(2)y=1-y at the points where it is intersected by the curve xy=1-y.

The tangents to the curve y=(x-2)^(2)-1 at its points of intersection with the line x-y=3, intersect at the point:

The curve C_1:y=1-cosx,x in(0,pi) and C_2:y=(sqrt3)/(2) |x|+a will touch each other if

The parabolas C_(1) : y^(2) = 4a (x - a) and C_(2) : y^(2) = -4a(x - k) intersect at two distinct points A and B. If the slope of the tangent at A on C_1 is same as the slope of the normal at B on C_(2) , then the value of k is equal to

Let x , y be two variables and x >0, x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

if a lie x-y=3 intersects the parabola y=(x-2)^(2)-1 at A and B and tangents at A and B meet again at point C.Then coordinates of point C is

The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is (A) 1 (B) 2 (C) 3 (D) 1/2 .

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Let f\ :(0,oo)\ R\ be a continuous, strictly increasing function s...

    Text Solution

    |

  2. The length of the shortest path that begins at the point (2,5), touche...

    Text Solution

    |

  3. Two curves C1: y=x^2-3\ a n d\ C2\ : y\ k x^2\ ,\ k in R intersect ea...

    Text Solution

    |

  4. The points on the curve 9y^2=x^3 , where the normal to the curve makes...

    Text Solution

    |

  5. A dynamite blast blows a heavy rock straight up with a launch veloci...

    Text Solution

    |

  6. A curve y=f(x) passing through origin and (2, 4). Through a variable p...

    Text Solution

    |

  7. Equation of a tangent to the curve ycotx=y^3tanx at the point where ...

    Text Solution

    |

  8. Equation of a line which is tangent to both the curve y=x^2+1\ a n ...

    Text Solution

    |

  9. Let y\ =\ f(x) be a function such that f(x)=x^3\ \ and the line x\...

    Text Solution

    |

  10. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  11. Prove that the tangent drawn at any point to the curve f(x)=x^5+3x^3+4...

    Text Solution

    |

  12. Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

    Text Solution

    |

  13. Find the equation of tangent to the curve y=sin^(-1)(2x)/(1+x^2)a tx=s...

    Text Solution

    |

  14. Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^...

    Text Solution

    |

  15. Find the equation of the normal to y=x^3-3x , which is parallel to ...

    Text Solution

    |

  16. Find the length of sub-tangent to the curve y=e^(x//a)

    Text Solution

    |

  17. Determine p such that the length of the such-tangent and sub-normal is...

    Text Solution

    |

  18. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  19. Let f(x)={-x^2 ,\ \ for\ \ x<0x^2+8,\ \ for ,\ \ xgeq0 Find x intercep...

    Text Solution

    |

  20. In the curve represented parametrically by the equations x=21ncott+1a ...

    Text Solution

    |