Home
Class 12
MATHS
The length of the common chord of the pa...

The length of the common chord of the parabolas `y^(2)=x and x^(2)=y` is

A

`2sqrt(2)`

B

1

C

`sqrt(2)`

D

`(1)/(sqrt(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2007

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|100 Videos

  • QUESTION PAPER 2009

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

y^(2)=4x and y^(2)=-8(x-a) intersect at points A and C. Points O (0,0) , A, B (a,0) , and C are concyclic. The length of the common chord of the parabolas is

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

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

Show that the length of the common chord of the circles (x-a)^(2) + (y-b)^(2) = c^(2) and (x-b)^(2) + (y-a)^(2) = c^(2) is sqrt(4c^(2) -2(a-b)^(2)) unit.

If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) is maximum, then find the value of h .

Length of the shortest normal chord of the parabola y^2=4ax is

Prove that the the middle points of the normal chords of the parabola y^(2)=4ax is on the curve (y^(2))/(2a)+(4a^(3))/(y^(2))=x-2a

The number of common chords of the parabolas x=y^2-6y+11 and y=x^2-6x+11 is 1 (b) 2 (c) 4 (d) 6

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. Find int 1/(9x^2+6x+5)dx

    Text Solution

    |

  2. The two parabolas x^(2)=4y and y^(2)=4x meet in two distinct points. O...

    Text Solution

    |

  3. The vertex of the parabola x^(2)+2y=8x-7 is

    Text Solution

    |

  4. If P(at(2),2at) be one end of a focal chord of the parabola y^(2)=4ax,...

    Text Solution

    |

  5. The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

    Text Solution

    |

  6. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

    Text Solution

    |

  7. The area included between th parabolas y^(2)=4x and x^(2)=4y is

    Text Solution

    |

  8. The locus of the centres of the circles which touch both the axes is g...

    Text Solution

    |

  9. The sum of the series (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+….. up to n ...

    Text Solution

    |

  10. Find the 11th term of the sequence {(1)/(2), (1)/(3), (1)/(5), (1)/(8)...

    Text Solution

    |

  11. The equation sqrt(3)sinx+cosx=4 has

    Text Solution

    |

  12. The value of tanalpha+2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n-1)...

    Text Solution

    |

  13. Out of 8 given points, 3 are collinear. How many different straight li...

    Text Solution

    |

  14. Find the following: int 1/(x^2+2x+2)dx

    Text Solution

    |

  15. Let alpha,beta be the roots of x^(2)-2xcosphi+1=0, then the equation w...

    Text Solution

    |

  16. The latus rectum of an ellipse is equal to one-half of its minor axis....

    Text Solution

    |

  17. A particle is projected vertically upwards and is at a height h after ...

    Text Solution

    |

  18. The value of the limit lim(xrarr2)(e^(3x-6)-1)/(sin(2-x)) is

    Text Solution

    |

  19. The limit lim(xrarr2)(5)/(sqrt(2)-sqrt(x)) is

    Text Solution

    |

  20. The range of the function f(x)=log(e)sqrt(4-x^(2)) is given by

    Text Solution

    |