Home
Class 12
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of the straight lines `(x)/(a)+(y)/(b)=K` and `(x)/(a)-(y)/(b)=(1)/(K)`, where K is a non - zero real variable, is given by

A

a straight line

B

an ellipse

C

a parabola

D

a hyperbola

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

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

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

If t is veriable paramete, parameter, show that the locus of the point of intersection of the straight lines (tx)/(a)+(y)/(b)-t = 0 and (x)/(a) - (ty)/(b) + 1 = 0 represents an ellipse

Show that the locus of the point of intersection of the lines (x)/(a)-(y)/(b) = m and m((x)/(a)+(y)/(b)) = 1 , m being a verible parameter is a hyperbola.

The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

A variable straight line passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 and intersects the axes at P and Q. Find the locus of midpoint of PQ.

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

A variable straight line through the point of intersection of the two lines (x)/(3)+(y)/(2)=1and(x)/(2)+(y)/(3)=1 meets the coordinate axes at A and B . Find the locus of the middle point of AB.

A variable straight line passes through the point of intersection of the staright lines x/a+y/b=1 and x/b+y/a=1 and intersects the axes at P and Q.Find the locus of mid-point of Pq.

For the variable t , the locus of the points of intersection of lines x - 2y = t and x + 2y = (1)/(t) is _

The equation of the locus of the point of intersection of the straight lines x sin theta + (1- cos theta) y = a sin theta and x sin theta -(1+ cos theta) y + a sin theta =0 is:

If a + bne 0 , find the coordinates of focus and the length of latus rectum of the parabola y^(2) = 2 mx which passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. x+8y-22=0, 5x+2y-34=0, 2x-3y+13=0 are the three sides of a triangle. T...

    Text Solution

    |

  2. The line through the points (a, b) and (-a, -b) passes through the poi...

    Text Solution

    |

  3. The locus of the point of intersection of the straight lines (x)/(a)+(...

    Text Solution

    |

  4. The equation of a line parallel to the line 3x+4y=0 and touching the c...

    Text Solution

    |

  5. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

    Text Solution

    |

  6. The equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-10...

    Text Solution

    |

  7. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  8. For non - zero vectors vec(a) and vec(b) id |vec(a)+vec(b)|lt|vec(a)-v...

    Text Solution

    |

  9. General solution of y(dy)/(dx)+by^(2)=a cos x, 0 lt x lt 1 is Here ...

    Text Solution

    |

  10. The points of the ellipse 16x^(2)+9y^(2)=400 at which the ordinate dec...

    Text Solution

    |

  11. The letters of the word COCHIN are permuted and all permutations are a...

    Text Solution

    |

  12. If the matric A=((2,0,0),(0,2,0),(2,0,2)), then A^(n)=((a,0,0),(0,a,0)...

    Text Solution

    |

  13. The sum of n terms of the following series, 1^(3)+3^(3)+5^(3)+7^(3)+…....

    Text Solution

    |

  14. If alpha and beta are roots of ax^(2)+bx+c=0 then the equation whose r...

    Text Solution

    |

  15. If omega is an imaginary cube root of unity, then the value of (2-omeg...

    Text Solution

    |

  16. If ""^(n)C(r-1)=36, ""^(n)C(r )=84 and ""^(n)C(r+1)=126 then the value...

    Text Solution

    |

  17. In a group 14 males and 6 females, 8 and 3 of the males and females re...

    Text Solution

    |

  18. The equation x^(3)-yx^(2)+x-y=0 represents

    Text Solution

    |

  19. The locus of the midpoints of chords of the circle x^(2)+y^(2)=1 which...

    Text Solution

    |

  20. The locus of the midpoints of all chords of the parabola y^(2)=4ax thr...

    Text Solution

    |