Home
Class 11
MATHS
The slope of the line touching both the ...

The slope of the line touching both the parabolas `y^2=4x and x^2=−32y` is (a) `1/2` (b) `3/2` (c) `1/8` (d) `2/3`

A

`(3)/(2) `

B

`(1)/(8) `

C

`(2)/(3) `

D

`(1)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The slope of the line touching the parabolas y^2=4x and x^2=-32y is

The equation to the line touching both the parabolas y^(2)=4x and x^(2)=-32y is

If the line x+by+c=0(bc!=0) touches both the parabolas y^(2)=4x and x^(2)=-32y then b+c=

If the line x+by+c=0(bc!=0) touches both the parabolas y^(2)=4x and x^(2)=-32y then b+c=

If the line x+by+c=0(bc!=0) touches both the parabolas y^(2)=4x and x^(2)=-32y then b+c=

If the line x+by+c=0( bc!=0 ) touches both the parabolas y^(2)=4x and x^(2)=-32y then b+c=

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

MODERN PUBLICATION-CONIC SECTIONS -COMPETITION FILE
  1. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  2. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

    Text Solution

    |

  3. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

    Text Solution

    |

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

    Text Solution

    |

  5. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

    Text Solution

    |

  6. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  7. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  8. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  9. If one of the diameters of the circle, given by the equation, x^2+y^2-...

    Text Solution

    |

  10. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  11. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  12. The eccentricity of the hyperbola whose length of the latus rectum i...

    Text Solution

    |

  13. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  14. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  15. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  16. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  17. If a variable line 3x+4y-lamda=0 is such that the two circles x^(2)+y^...

    Text Solution

    |

  18. Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X...

    Text Solution

    |

  19. Let C(1) and C(2) be the circles x^(2) + y^(2) - 2x - 2y - 2 = 0 and ...

    Text Solution

    |

  20. Let a parabola be y=12-x^2. Find the maximum area of rectangle whose b...

    Text Solution

    |