Home
Class 11
MATHS
Find the locus of the point of intersect...

Find the locus of the point of intersection of lines `xcosalpha+ysinalpha=a` and `xsinalpha-ycosalpha=b(alpha` is a variable).

A

`2 (x^(2) + y^(2)) = a^(2) + b^(2)`

B

`x^(2) - y^(2) = a^(2) - b^(2)`

C

`x^(2) + y^(2) = a^(2) + b^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION - II (ASSERTION - REASON TYPE MCQs|1 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Locus of the point of intersection of lines x cosalpha + y sin alpha = a and x sin alpha - y cos alpha =b (alpha in R ) is

Prove that for all values of theta , the locus of the point of intersection of the lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

Prove that for all values of theta , the locus of the point of intersection of the lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

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 :

Find the locus of the mid-point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes.

Find the locus of the mid-point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes.

Find the locus of the point of intersection of the lines x+y=3+lamda and 5x-y=7+3lamda , where lamda is a variable.

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

Find the locus of the point of intersection of the lines x=a/(m^(2)) and y=(2a)/(m) , where m is a parameter.

The locus of point of intersection of tangents to y^(2) = 4ax which includes an angle alpha is

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. about to only mathematics

    Text Solution

    |

  2. Find the locus of the mid-point of the portion of the line xcosalpha+y...

    Text Solution

    |

  3. Find the locus of the point of intersection of lines xcosalpha+ysin...

    Text Solution

    |

  4. if x and y coordinates of a point P in x-y plane are given by x=(ucosa...

    Text Solution

    |

  5. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

    Text Solution

    |

  6. A and B are two fixed points. Draw the locus of a point P such that an...

    Text Solution

    |

  7. If a variable line passes through the point of intersection of the lin...

    Text Solution

    |

  8. A variable straight line is drawn through the point of intersection of...

    Text Solution

    |

  9. The nearest point on the line 3x- 4y = 25 from the origin is

    Text Solution

    |

  10. The distance between the lines (x+7y)^2+4sqrt(2)(x+7y)-42=0 is

    Text Solution

    |

  11. The image of the point (-1,3) by the line x - y = 0 , is

    Text Solution

    |

  12. If A(1,1), B(sqrt3+1,2) and C(sqrt3,sqrt3+2) are three vertices of a s...

    Text Solution

    |

  13. If (-4,0) and (1,-1) are two vertices of a triangle of area 4s qdotu n...

    Text Solution

    |

  14. If the line x+y-1=(lamda)/(2)=0 passing through the intersection of ...

    Text Solution

    |

  15. The distance between the lines 5x+12y+65=0 and 5x+12y-39 = 0 is :

    Text Solution

    |

  16. Prove that the locus of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  17. The equation of the line with slope -3//2 and which in concurrent with...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of the bisector of the obtuse angle between the line...

    Text Solution

    |

  20. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |