Home
Class 12
MATHS
A right angled triangle ABC having a rig...

A right angled triangle ABC having a right angle at C, CA=b and CB=a, move such that h angular points A and B slide along x-axis and y-axis respectively. Find the locus of C

A

`bx pm ay =0`

B

`ax pm by =0`

C

`(x)/(a)pm (y)/(b)=1`

D

`(x)/(b)+(y)/(a)=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|21 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

A right angled triangle ABC having C as right angle is of given magnitude and the angular points A and B slide along two given perpendicular axes.Show that the locus of C is the pair of straight lines whose equations are y=+-((b)/(a))x

if in triangle ABC right angled at C then tan A+tan B

In a triangle ABC,right angled at B, then

In right angled triangle ABC, right angled at C, show that tanA+tanB=(c^2)/(ab) .

If triangle ABC is right angled at C, then the value of sec (A+B) is

1.In a right angled triangle ABC,AB=AC Thena:b: c is

In a right triangle ABC, right angled at C, if a = 7 cm and b = 7 sqrt(3) cm, then angleA =

ABC is right triangle , right angled at A, then tanB* tan C =_____

If, Delta ABC is right angled at C, then : tanAtanB = ....

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y ...

    Text Solution

    |

  2. A line which makes an acute angle theta with the positive direction of...

    Text Solution

    |

  3. A right angled triangle ABC having a right angle at C, CA=b and CB=a, ...

    Text Solution

    |

  4. ABCD is a quadrilateral. P (3,7) and Q (7, 3) are the middle points of...

    Text Solution

    |

  5. A line meets x - axis at A and y-axis at B such that incentre of the t...

    Text Solution

    |

  6. ABCD is a rectangle in the clockwise direction. The coordinates of A a...

    Text Solution

    |

  7. The area of a triangle is 5. Two of its vertices are (2,1) and (3,-2)....

    Text Solution

    |

  8. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

    Text Solution

    |

  9. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

    Text Solution

    |

  10. If area of the triangle formed by the line L perpendicular to 5x-y=1 a...

    Text Solution

    |

  11. The area enclosed by the lines |x|+|y|=2 is

    Text Solution

    |

  12. If the circumcentre of a triangle lies at the point (a, a) and the cen...

    Text Solution

    |

  13. If A(at^2, 2at), B((a)/(t^2) , - (2a)/(t)) and C(a, 0) be any three po...

    Text Solution

    |

  14. Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is...

    Text Solution

    |

  15. Coordinates of the vertices B and C of the base of a triangle ABC are ...

    Text Solution

    |

  16. If the line sqrt(5)x=y meets the lines x = 1, x = 2, ….. x = n at poin...

    Text Solution

    |

  17. One diagonal of a square is the portion of the line 3x+2y=12 intercept...

    Text Solution

    |

  18. If y=m(i)x+(1)/(m(i)(i=1,2,3) represents three stright lines whose slo...

    Text Solution

    |

  19. If the system of equations a1x+b1y+c1, a2x+b2y+c2=0 is inconsistent, a...

    Text Solution

    |

  20. Reflection of the line x+y+1=0 in the line lx+my+n=0 is

    Text Solution

    |