Home
Class 12
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//8`

B

`2//3`

C

`1//2`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Statement I the equation of the common tangent to the parabolas y^2=4x and x^2=4y is x+y+1=0 . Statement II Both the parabolas are reflected to each other about the line y=x .

If a!=0 and the line 2b x+3c y+4d=0 passes through the points of intersection of the parabolas y^2=4a x and x^2=4a y , then

Find the area of the region bounded between parabolas y^2 = 4x and the line x^2 = 4y .

Statement I- The area of region bounded parabola y^(2)=4x and x^(2)=4y " is " 32/3 sq units. Statement II- The area of region bounded by parabola y^(2)=4ax and x^(2)=4by " is " 16/3 ab .

Find the area of region founded by two parabolas : y^(2)=9/4x and x^(2)=16/3y

Find the area of the region bounded between parabolas y^2 = x and the line x^2 = y .

The value of k for which the line x+y+1=0 touches the parabola y^2 = 4kx is :

Find the area of the region bounded by the parabola y^2=2x and the straight line x-y=4.

Find the area of the region bounded by : (ii) the parabola y^2=x and the line x+y=2.

Find the area of the region bounded between parabolas y^2 = 16x and the line x^2 = 16y .

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  2. Of the 125 students in an elementary school, 89 students play checkers...

    Text Solution

    |

  3. What is the 5th term of this sequence 9, 13, 17, ...?

    Text Solution

    |

  4. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

    Text Solution

    |

  5. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

    Text Solution

    |

  6. If f (x) = 3x − 5, then inverse of f(x) is

    Text Solution

    |

  7. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  8. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

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

    Text Solution

    |

  10. Evaluate int 28x^2 dx.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If the normals of the parabola y^(2)=4x drawn at the end points of its...

    Text Solution

    |

  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

    Text Solution

    |

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

    Text Solution

    |

  17. The circle C1 : x^2 + y^2 = 3, with center at O, intersects the parabo...

    Text Solution

    |

  18. Let P be the point on the parabola y^(2)4x which is at the shortest di...

    Text Solution

    |

  19. The radius of a circle, having minimum area, which touches the curve...

    Text Solution

    |

  20. If a chord which is not a tangent, of the parabola y^(2)=16x has the e...

    Text Solution

    |