Home
Class 12
MATHS
The equations of the two common tangents...

The equations of the two common tangents to the circle `x^(2) +y^(2)=2a^(2)` and the parabola `y^(2)=8ax ` are-

A

`x=pm(y+2a)`

B

`y=pm(x+2a)`

C

`x=pm(y+a)`

D

`y=pm(x+a)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 5|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 2|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the common tangent to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x .

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

The equation of the common tangent to the curves y^(2)=8x and xy=-1 is-

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

Find the equation of the common tangents to y^2 - 8ax and x^2 + y^2 = 2a^2

The equation of the tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,1) is

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

Using integration find the area of the regions common to the circle x^(2)+ y^(2) =16 and the parabola y^(2) =6x

Find the equation of the common tangent to the parbolas y^(2)=4 ax and x^(2)=4by

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

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
  1. Two intersecting circles have their radii 1 metre and sqrt(3) metre. T...

    Text Solution

    |

  2. The equation of the tangent to the curve y= be^(-(x)/(a)) at the poin...

    Text Solution

    |

  3. The equations of the two common tangents to the circle x^(2) +y^(2)=2a...

    Text Solution

    |

  4. If the curve y= a sqrt(x) + bx passes through the point (1, 2) and t...

    Text Solution

    |

  5. The area (in square unit ) bounded by the curve y= sinx between the o...

    Text Solution

    |

  6. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

    Text Solution

    |

  7. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

    Text Solution

    |

  8. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

    Text Solution

    |

  9. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

    Text Solution

    |

  10. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

    Text Solution

    |

  11. The angle between the curves y= sin x and y= cos x is-

    Text Solution

    |

  12. The function f(x)=cos x - 2ax is monotonically decreasing when-

    Text Solution

    |

  13. If PQ and PR are the two sides of a triangle, then the angle between ...

    Text Solution

    |

  14. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

    Text Solution

    |

  15. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

    Text Solution

    |

  16. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

    Text Solution

    |

  17. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

    Text Solution

    |

  18. A land in the form of a circular sector has been fenced by wire of 40 ...

    Text Solution

    |

  19. The maximum value of the function f(x)=3 cos x - 4 sin x is-

    Text Solution

    |

  20. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

    Text Solution

    |