Home
Class 10
MATHS
If a ne b ne0, prove that points (a, a^(...

If a `ne b ne`0, prove that points `(a, a^(2)), (b, b^(2)),` and (0, 0) can never be collinear.

Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE QUESTIONS|6 Videos
  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS [HOTS] QUESTIONS|14 Videos
  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - VERY SHORT ANSWER [VSA] TYPE QUESTIONS|14 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos
  • CONSTRUCTIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS) IIT /OLYMPIAD/ IMO|5 Videos

Similar Questions

Explore conceptually related problems

If the points (a^(2), 0),(0, b^(2)) and (1,1) are collinear then

By using the concept of equation of a line, prove that the three points (3, 0), (-2, -2) " and " (8, 2) are collinear.

Show that the points A (-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are collinear.

By using the concept of equation of the line prove that the three points(3,0),(-2,-2) and (8,2) are collinear.

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

Find x for which (a, 0), (0, b), and (3a, x) (a ne 0) lie on a line .

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the points A(1,-2,-8) , B(5,0,-2), C(11,3,7) are collinear.

One of the possible condition for the three points (a, b),(b, a) and (a^(2),-b^(2)) to be collinear is

If z ne 0 and Re z=0 then

ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. Find the ratio in which (-4, 6) divides the line segment joining A (6,...

    Text Solution

    |

  2. Find the points of trisection of the line segment joining the points. ...

    Text Solution

    |

  3. Three vertices of a parallelogram are (a + b ,a - b ) , (2a + b, 2a - ...

    Text Solution

    |

  4. A poin P divides the line segment joining A (3,-5) and B ( - 4, 8) wit...

    Text Solution

    |

  5. If the midpoints of the sides of a triangle are (3, 4) (4, 6), and (5,...

    Text Solution

    |

  6. In what ratio is the join of (-2, 2) and (4,5) cut by the axes of coor...

    Text Solution

    |

  7. The vertices of DeltaABC are A (1, 2), B (4 ,6), and C (6, 14). AD bis...

    Text Solution

    |

  8. Show that (1,-1) , (-2,2) , (4,8) and (7,5) are the angular points of ...

    Text Solution

    |

  9. The line segment joining (3,-4) and (1, 2) is trisected by P(a,-2) and...

    Text Solution

    |

  10. The centroid of a triangle ABC is ( 1, 2, 2) If the coordinates of A a...

    Text Solution

    |

  11. The vertices of a Delta ABC are A (4,6), B (1, 5) and C (7,2). A line ...

    Text Solution

    |

  12. Prove that the median of Delta ABC divides it into two triangles of eq...

    Text Solution

    |

  13. Find the value of a for which the area of the triangle formed by A(a, ...

    Text Solution

    |

  14. If a ne b ne0, prove that points (a, a^(2)), (b, b^(2)), and (0, 0) ca...

    Text Solution

    |

  15. Prove that (a, 0), (0, b), and (1, 1) are collinear if (1)/(a) + (1)/(...

    Text Solution

    |

  16. Find the values of a and b if P (9a-2,-b) divides the line segment A (...

    Text Solution

    |

  17. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

    Text Solution

    |

  18. For what value of k are (k, 2 2), (-k + 1, 2k), and (4-k, 6-2k) collin...

    Text Solution

    |

  19. The vertices of a Delta ABC are A (-3,2) , B (-1,-4) and C (5,2) . If...

    Text Solution

    |

  20. The vertices of a Delta ABC are A (-5,-1), B (3,-5) , C (5,2). Show t...

    Text Solution

    |