Home
Class 12
MATHS
The equation of the common tangent to th...

The equation of the common tangent to the parabolas `y^(2)=2x and x^(2)=16y` is

A

`2x+y-2=0`

B

`x-2y-2=0`

C

`x-2y+2=0`

D

`x+2y+2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 57

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 59

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The equation of the common tangent to the parabolas y^(2)=4ax and x^(2)=4by is given by

The common tangent to the parabolas y^(2)=8x and x^(2)=-4y is

The equation of common tangent to the parabola's y^(2)=32x and x^(2)=108y is

Find the equation of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

The common tangent of the parabolas y^(2)=4x" and "x^(2)=-8y, is

The equation of a common tangent of the parabolas y^(2)=4ax and x^(2)=4by is

The equation of the common tangent to the parabola y=x^(2) and y=-(x-2)^(2) is

The equations of the common tangents to the parabola y=x^(2) and y=-(x-2)^(2) is/are :

NTA MOCK TESTS-NTA JEE MOCK TEST 58-MATHEMATICS
  1. Consider I(1)=int((pi)/(4))^((pi)/(2))(e^(sinx)+1)/(e^(cosx)+1)dx and ...

    Text Solution

    |

  2. Let f(x)=lim(nrarroo)((x^(2)+2x+4+sinpix^(n))-1)/((x^(2)+2x+4+sinpix^(...

    Text Solution

    |

  3. The equation of the common tangent to the parabolas y^(2)=2x and x^(2)...

    Text Solution

    |

  4. If p, q and r are three logical statements then the truth value of the...

    Text Solution

    |

  5. The mean of five observation is 4 and their variance is 2.8. If three ...

    Text Solution

    |

  6. If the integral int(lnx)/(x^(3))dx=(f(x))/(4x^(2))+C, where f(e )=-3 a...

    Text Solution

    |

  7. If S(n)=Sigma(r=1)^(n)t(r)=(1)/(6)n(2n^(2)+9n+13), then Sigma(r=1)^(n)...

    Text Solution

    |

  8. A cone having fixed volume has semi - vertical angle of (pi)/(4). At a...

    Text Solution

    |

  9. Let the lines 4x-3y+10=0 and 4x-3y-30=0 make equal intercepts of 6 uni...

    Text Solution

    |

  10. A biased coin is tossed repeatedly until a tail appears for the first ...

    Text Solution

    |

  11. If A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] and B=[(-4,-3,-3),(1,0,1),(4,4,3)]...

    Text Solution

    |

  12. Consider three vectors vec(V(1))=(sin theta)hati+(cos theta)hatj+(a-...

    Text Solution

    |

  13. Let Z=x+iy is a complex number, such that x^(2)+y^(2)=1. In which of t...

    Text Solution

    |

  14. The point (a^(2),a+1) lies in the angle between the lines 3x+y+1=0 and...

    Text Solution

    |

  15. The area (in sq. units) bounded by the curve y=max(x, sinx), AA x in [...

    Text Solution

    |

  16. The value of lim(xrarr0)(cos(tanx)-cosx)/(4x^(4)) is equal to

    Text Solution

    |

  17. The minimum value of x which satisfies the inequality (sin^(-1)x)^(2)g...

    Text Solution

    |

  18. The number of solutions of the equation tan^(2)x-sec^(10)x+1=0" for " ...

    Text Solution

    |

  19. If the solution of the differential equation (1+e^((x)/(y)))dx+e^((x)/...

    Text Solution

    |

  20. The equation of the plane passing through the poit of intersection of ...

    Text Solution

    |