Home
Class 12
MATHS
The locus of point of intersection of t...

The locus of point of intersection of the lines `x/a-y/b=m` and `x/a+y/b=1/m` (i) a circle (ii) an ellipse (iii) a hyperbola (iv) a parabola

A

a circle

B

an ellipse

C

a hyperbola

D

a parabola

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If m is a variable,then prove that the locus of the point of intersection of the lines (x)/(3)-(y)/(2)=m and (x)/(3)+(y)/(2)=(1)/(m) is a hyperbola.

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 point of intersection of the lines y+mx=sqrt(a^(2)m^(2)+b^(2)) and my-x=sqrt(a^(2)+b^(2)m^(2)) is

The locus of the point (sqrt(3h+2), sqrt(3k)) if (h, k) lies on x+y=1 is : (A) a circle (B) an ellipse (C) a parabola (D) a pair of straight lines

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 3
  1. Locus of the point of intersection of lines x cosalpha + y sin alpha =...

    Text Solution

    |

  2. If a, c, b are in AP the family of line ax + by + c = 0 passes through...

    Text Solution

    |

  3. if the lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are...

    Text Solution

    |

  4. The set of lines ax + by+ c= 0, where 3a+ 2b+ 4c =0, is concurrent at ...

    Text Solution

    |

  5. If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...

    Text Solution

    |

  6. If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...

    Text Solution

    |

  7. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  8. If the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent,...

    Text Solution

    |

  9. The straight line through the point of intersection of ax + by+c=0 and...

    Text Solution

    |

  10. If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...

    Text Solution

    |

  11. Find the equations of the line through the intersection of 2x - 3y + 4...

    Text Solution

    |

  12. The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...

    Text Solution

    |

  13. The condition on a and b, such that the portion of the line ax+by-1=0 ...

    Text Solution

    |

  14. If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 a...

    Text Solution

    |

  15. Find the equation of the straight line which passes through the int...

    Text Solution

    |

  16. Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...

    Text Solution

    |

  17. Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...

    Text Solution

    |