Home
Class 11
MATHS
The points (-a,-b).(0,0),(a,b) and (a^2,...

The points (-a,-b).(0,0),(a,b) and `(a^2, ab)` are

A

collinear

B

vertices of a parallelogram

C

vertices of a rectangle

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

The points (-a,-b),(a,b),(0,0) and (a^(2),ab), a ne 0, b ne 0 are always

If the points (a, 0), (b,0), (0, c) , and (0, d) are concyclic (a, b, c, d > 0) , then prove that ab = cd .

If the points (a,b), (a',b') and (a-a',b-b') are collinear, then prove that ab' = a'b.

If the point (a,b), (a',b') and (a-a',b-b') are collinear, then prove that ab' = a'b.

The points (-a , -b) , ( a^(2) , ab) , (a , b) , ( 0 ,0) ,a ne 0 , b ne 0 are always

The condition that the points (a,0),(0,b)and (2,2) are collinear is

Show that the points (a,0),(0,b)and (3a,-2b)are collinear.Also find the equation of the line containing them.

If the coordinates of the points A,B,C be (-1,5),(0,0) and (2,2) respectively, and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

Determine the coordinates of the point which is equiistant from the points ( 0 , 0 0) , ( a , 0 ,0) and ( 0 , b , 0) and ( 0 , 0 , c) .

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),0) and (-sqrt(a^2-b^2),0) to the line x/a costheta + y/b sintheta=1 is b^2 .

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. The point (4,1) undergoes the following three transformations successi...

    Text Solution

    |

  2. A is (a,0) and B is (-a,0). If P is a point such that anglePAB - angle...

    Text Solution

    |

  3. The points (-a,-b).(0,0),(a,b) and (a^2, ab) are

    Text Solution

    |

  4. The medians AD and BE of a triangle ABC with vertices A(0, b), B(0, 0)...

    Text Solution

    |

  5. The vertices of a rhombus taken in order are (2,-1), (3,4), (-2,3), th...

    Text Solution

    |

  6. The coordinates of the point P on the lines 2x+3y+1=0, such that |PA-P...

    Text Solution

    |

  7. One vertex of the equilateral triangle with centroid at the origin and...

    Text Solution

    |

  8. If t1, t2 and t3 are distinct, the points (t1, 2at1+at1^3), (t2,2at2+a...

    Text Solution

    |

  9. If (-6,-4), (3,5),(-2,1) are the vertices of a parallelogram, then rem...

    Text Solution

    |

  10. A line passing through the point P(4,2) meets the x and y-axis at A an...

    Text Solution

    |

  11. If P-=(1,0), Q-=(-1, 0), R-=(2,0) are three given points, then the loc...

    Text Solution

    |

  12. A straight line segment AB of length 'a' moves with its ends on the ax...

    Text Solution

    |

  13. Let A be any variable point on the X-axis and B the point (2,3). The p...

    Text Solution

    |

  14. Let AB be a line segment of length 4 unit with the point A on the line...

    Text Solution

    |

  15. The equation of the diagonal, through the origin, of the quadrilateral...

    Text Solution

    |

  16. The number of integral values of 'm' for which the x coordinate of the...

    Text Solution

    |

  17. Let 2x-3y=0 be a given line and P(sintheta, 0) and Q(0, costheta) be t...

    Text Solution

    |

  18. The equations of the lines through (-1,-1) and making angle 45^@ with ...

    Text Solution

    |

  19. The equations of the lines through the point (1,2) whose distance from...

    Text Solution

    |

  20. The line segment joining the points (1,2) and (-2, 1) is divided by th...

    Text Solution

    |