Home
Class 11
MATHS
The two parabolas x^2= 4y and y^2=4x me...

The two parabolas `x^2= 4y` and `y^2=4x ` meet in two distinct points. One of these is origin and the other point is

A

(2,2)

B

(4,-4)

C

(4,4)

D

(-2,2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|289 Videos
  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos
  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the parabolas y^2=4a x and x^2=4b y at their point of intersection other than the origin.

The two parabolas y^(2)=4x" and "x^(2)=4 intersect at a point P, whose abscissas is not zero, such that

The parabola y^(2)=4x and x^(2)=32y intersect at a point P other than the origin . If the angle of intersection is theta then tan theta is equal to

A tangent to the hyperbola x^(2)/4 - y^(2)/1 = 1 meets ellipse x^(2) + 4y^(2) = 4 in two distinct points . Then the locus of midpoint of this chord is

If two parabolas y^(2)=4a(x-k) and x^(2)=4a(y-k) have only one common point P, then the coordinates of P are

Two circles c_1:x^2+y^2-4x-6y-3=0 and c_2:x^2+y^2+2x-14y+lamda meet at two distinct points then find the value of lamda .

MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. Equation of the circle with centre (-4,3), and touching the circle ...

    Text Solution

    |

  2. Equation of the circle concentric with the circle x^(2) + y^(2) - ...

    Text Solution

    |

  3. Radius of the circle x^2 +y^2 + 2xcos theta + 2y sin theta-8=0, is

    Text Solution

    |

  4. If the equation (K(x+1)^(2))/(3) + ((y + 2 )^(2))/(4) =1 represents a ...

    Text Solution

    |

  5. The focus of the parabola 4y^(2) + 12x - 20y + 67 = 0 is

    Text Solution

    |

  6. The equation of the directirx of the parabola y^2+4y+4x+2=0 is

    Text Solution

    |

  7. If the focus of a parabola divides a focal chord in segments of lengt...

    Text Solution

    |

  8. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

    Text Solution

    |

  9. Length of latus rectum of a parabola whose focus is (3,3) and directri...

    Text Solution

    |

  10. What is the equation of the parabola, whose vertex and focus are on th...

    Text Solution

    |

  11. If vertex of a parabola is origin and directrix is x + 7 = 0 , then it...

    Text Solution

    |

  12. Points on parabola y^(2) = 12x , whose focal distance is 4, are

    Text Solution

    |

  13. The focal distance of a point on the parabola y^2= 16x whose ordinat...

    Text Solution

    |

  14. A parabola passing through the point (-4,2) has its vertex at the ori...

    Text Solution

    |

  15. A parabola has the origin as its focus and the line x=2 as the directr...

    Text Solution

    |

  16. Find the point on the parabola y^(2)=18x at which ordinate is 3 times ...

    Text Solution

    |

  17. The straight lines y=+-x intersect the parabola y^(2)=8x in points P a...

    Text Solution

    |

  18. Equation of the latus rectum of the parabola 2y^(2) = 5x is

    Text Solution

    |

  19. For the parabola y^(2) = 4x , the points (s) P whose focal distance i...

    Text Solution

    |

  20. The two parabolas x^2= 4y and y^2=4x meet in two distinct points. One...

    Text Solution

    |