Home
Class 11
MATHS
The equation of the common tangent to th...

The equation of the common tangent to the curves , `y^2=8x` and xy=-1 is :

A

3y = 9x+2

B

y=2x +1

C

2y=x+8

D

y=x+ 2.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the tangent to the curve y=3x^2 at (1,1)

The equation of common tangent to the parabola y^2 =8x and hyperbola 3x^2 -y^2=3 is

Fill in the blanks: The equation of the tangent to the curve y = e^(2x) at the point (0,1) is__________.

The equation of the tangents to the curve (1+x^(2))y=1 at the points of its intersection with the curve (x+1)y=1 , is given by

The area common to the curves y^2 = x and x^2 = y is

Find the equation of the tangent to the curve y = x^2 - 4x + 11 which is parallel to the line 4x - y + 8 = 0

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The locus of the mid-point of the line segment joining the focus to a ...

    Text Solution

    |

  2. The area bounded by the curves : y=|x-1| and y=1 is :

    Text Solution

    |

  3. The equation of the common tangent to the curves , y^2=8x and xy=-1 is...

    Text Solution

    |

  4. If the tangent at the point P on the circle x^2+y^2+6x + 6y = 2 meets ...

    Text Solution

    |

  5. A straight line through the origin O meets the parallel lines 4x + 2y ...

    Text Solution

    |

  6. Let P=(-1,0) ,Q =(0,0) and R (3,3sqrt(3)) be three point . The equatio...

    Text Solution

    |

  7. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

    Text Solution

    |

  8. A triangle with vertices (2, 0), (- 1,- 1),(1,0) is :

    Text Solution

    |

  9. The straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y - ...

    Text Solution

    |

  10. A straight line through the point (2, 2) intersects the lines sqrt3x +...

    Text Solution

    |

  11. Find the incentre of the triangle with vertices A(1,sqrt3), B(0,0) and...

    Text Solution

    |

  12. The equation of the tangent to the circle x^2 + y^2+4x- 4y + 4 =0, whi...

    Text Solution

    |

  13. Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

    Text Solution

    |

  14. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

    Text Solution

    |

  15. A square of side a lies above the X- axis and has one vertex at the or...

    Text Solution

    |

  16. Find the slope of the tangent to the curve y=3x^4−4 at x = 4

    Text Solution

    |

  17. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    Text Solution

    |

  18. If the two circles (x-1)^2+(y-3)^2= r^2 and x^2+y^2-8x+2y+8=0 interse...

    Text Solution

    |

  19. The normal at the point (bt1^2, 2bt1) on a parabola meets the parabola...

    Text Solution

    |

  20. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |