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

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : Single Option Correct Type)|5 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : One or More than One Option Correct Type)|15 Videos

  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos

  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

What is the locus fo t he point of intersection of the striaght lines (x//a)+(y//b) =m and (x//a)-(y//b)=1//m ?

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda) ( lambda is a variable), is

The locus of lhe point of intersection of the lines x+4y=2a sin theta,x-y=a cos theta where theta is a variable parameter is

A normal to the hyperbola x^(2)-4y^(2)=4 meets the x and y axes at A and B .The locus of the point of intersection of the straight lines drawn through A and B perpendicular to the x and y-axes respectively is

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is:

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

The locus of the points of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b , ( theta= variable) is :

If t is a non-zero parameter , then the locus of the point of intersection of the lines (x)/(a) + (y)/(b) = t and (x)/(a) - (y)/(b) = (1)/(t) is

Locus of the point of intersection of the lines x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b where alpha is variable.

A variable straight line is drawn through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 and meets the coordinate axes at A and B. Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

MTG-WBJEE-CONIC SECTIONS-WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)
  1. Number of intersecting points of the coincs 4x^2+9y^2=1 and 4x^2+y^2=4...

    Text Solution

    |

  2. Then equation of auxiliary circle of the ellipse 16x^2 + 25y^2 +32x-10...

    Text Solution

    |

  3. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

    Text Solution

    |

  4. The line y=x+lambda is a tangent to an ellipse 2x^2+3y^2=1 then

    Text Solution

    |

  5. The locus of the point of intersection of the straight lines x/a+y/b=k...

    Text Solution

    |

  6. Let P be the foot of the perpendicular from focus S of hyperbola x^2/a...

    Text Solution

    |

  7. B is extermity of the minor axis of an elipse whose foci are S and S'....

    Text Solution

    |

  8. The axis of the parabola x^2+2x y+y^2-5x+5y-5=0 is

    Text Solution

    |

  9. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

    Text Solution

    |

  10. The focus of the conic x^(2)-6x+4y+1=0 is

    Text Solution

    |

  11. Equation of common tangent of y=x^2,y=-x^2+4x-4 is

    Text Solution

    |

  12. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

    Text Solution

    |

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

    Text Solution

    |

  14. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  15. Let P(4,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  16. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1; (0<alpha<pi/4)

    Text Solution

    |

  17. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |

  18. The equation of th directrices of the hyperbola 3x^(2)-3y^(2)-18x+12y+...

    Text Solution

    |

  19. P is the extremity of the latuscrectum of ellipse 3x^(2)+4y^(2)=48 in ...

    Text Solution

    |

  20. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |