Home
Class 11
MATHS
Points (3, 3), (h, 0), (0, k) are collin...

Points (3, 3), (h, 0), (0, k) are collinear and `a/h+b/k=1/3`. Then :

A

a=3,b=2

B

a=3,b=3

C

a=1,b=1

D

a=2, b=2.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are collinear if, 1/a+1/b=1

If three points (h, 0), (a, b) and (0, k) lies on a line, show that a/h+b/k=1

If the three points (3q,0), (0, 3p) and (1, 1) are collinear, then which one is true ?

The points (1, 2, 3), (-2, 3, 4) and (7,0,1) are collinear.

If the points (x,y),(a,0) and (0,b) are collinear, prove that x/a + y/b = 1, ab ne 0

Show that the points (-2, 3, 5), (I, 2, 3) and (7, 0, -I) are collinear (by vector method only).

Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

Show that the points (1, 1), (2, 3) and (3, 5) are collinear.

Verify that the points (3, - 2, 4), (1, 0, - 2) and (-1,2, - 8) are collinear.

Find k so that the points (3,-2), (k,2), (8,8) are collinear.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. A line passes through point (2, 2) and perpendicular to the line 3x + ...

    Text Solution

    |

  2. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

    Text Solution

    |

  3. Points (3, 3), (h, 0), (0, k) are collinear and a/h+b/k=1/3. Then :

    Text Solution

    |

  4. sqrt 2009/3 (x^2-y^2)=1, then eccentricity of the hyperbola is :

    Text Solution

    |

  5. The value of k for which the line x+y+1=0 touches the parabola y^2 = 4...

    Text Solution

    |

  6. The eccentricity of the ellipse x^2/a^2+y^2/b^2=1, if its latus rectum...

    Text Solution

    |

  7. The angle between the tangents drawn from the origin to the parabola y...

    Text Solution

    |

  8. The angle between the lines 2x = 3y=-z and 12x=-2y=-8z is:

    Text Solution

    |

  9. The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=...

    Text Solution

    |

  10. If the lines 2x + 3y+1=0,3x-y-4=0 are diameters of a circle x^2+ y^2+ ...

    Text Solution

    |

  11. The equation of the circle, while touches the line x= y at origin and ...

    Text Solution

    |

  12. The locus of the foot of the perpendicular from the centre of the elli...

    Text Solution

    |

  13. The locus of the mid-points of a chord of the circle x^(2)+y^(2)=4 whi...

    Text Solution

    |

  14. The length of the chord joining the points (4 cos theta 4 sin theta) a...

    Text Solution

    |

  15. The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y...

    Text Solution

    |

  16. The co-ordinates of the centre of the smallest circle passing through ...

    Text Solution

    |

  17. The length of the diameter of the circle which cuts three circles : x^...

    Text Solution

    |

  18. For the parabola y^2 = 4x, the point P whose focal distance is 17, is ...

    Text Solution

    |

  19. The angle between the tangents drawn from origin to the parabola y^2= ...

    Text Solution

    |

  20. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |