Home
Class 12
MATHS
Equation of common tangent of y=x^2,y=-...

Equation of common tangent of `y=x^2,y=-x^2+4x-4` is

A

`y=4(x-1)`

B

`y=0`

C

`y= -4(x-1)`

D

`y= -30x-50`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|15 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Equation of common tangent to parabola y^2 = 2x and circle x^2 + y^2 + 4x = 0

Find the equation of the common tangent of y^2=4a x and x^2=4a y .

Equation of the common tangent of a circle x^2+y^2=50 and the parabola y^2=40x can be

Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 is

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

The equation of common tangent to Parabola y ^2 = 8x and y = - x ^ 2 is :

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. The angle between the tangents drawn from the point (1, 4) to the p...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Equation of common tangent of y=x^2,y=-x^2+4x-4 is

    Text Solution

    |

  4. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  5. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  6. The point of intersection of the tangents at the ends of the latus ...

    Text Solution

    |

  7. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

    Text Solution

    |

  8. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  9. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  10. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  11. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  12. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  13. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  14. If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the...

    Text Solution

    |

  15. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

  16. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  17. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  18. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  19. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  20. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |