Home
Class 12
MATHS
If t(1), t(2) and t(3) are distinct, th...

If `t_(1), t_(2) and t_(3) ` are distinct, the points `(t_(1), 2at_(1) +at_(1)^(3)), (t_(2), 2at_(2)+at_(2)^(3)) and (t_(3), 2at_(3)+at_(3)^(3))` are collinear if

A

`t_(1)t_(2)t_(3)=1`

B

`t_(1)+t_(2)+t_(3)=t_(1)t_(2)t_(3)`

C

`t_(1)+t_(2)+t_(3)=0`

D

`t_(1)+t_(2)+t_(3)= -1`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|168 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

The tangents at the points (at_(1)^(2),2at_(1)) , (at_(2)^(2),2at_(2)) on the parabola y^(2)=4ax are al right angles if

The area of triangle formed by the points points and t_(1),t_(2) and t_(3) on y^(3) =4ax is k |(t_(1)-t_(2))(t_(2)-t_(3)) (t_(3)-t_(1))| then K =

If x = (1 + t)/(t^3) and (3 + 4t)/(2t^2) then =

Find the equation of the straight line passing through the points (at_(1)^2,2at_1),(at_(2)^(2),2at_2) .

If t_(n) = (1)/(4) (n+2) (n+3) for n=1,2,3….. then (1)/( t_1) + (1)/( t_2) + (1)/( t_3) + ….. + (1)/( t_(2003) )=

If t_(1),t_(2),t_(3) are the feet of normals drawn from (x_(1),y_(1)) to the parabola y^(2)=4ax then the value of t_(1)t_(2)t_(3) =

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) a...

    Text Solution

    |

  2. The area of a triangle is 5 square unit. Two of its vertices are (2, 1...

    Text Solution

    |

  3. If t(1), t(2) and t(3) are distinct, the points (t(1), 2at(1) +at(1)^...

    Text Solution

    |

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

    Text Solution

    |

  5. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P with same c...

    Text Solution

    |

  6. The equation of the line having slope -4//3 and x-intercept -2//5 is

    Text Solution

    |

  7. The equation of the line having slope -2//3 and y-intercept 3//4 is

    Text Solution

    |

  8. The equation of the straight line making an intercept of 3 unit of the...

    Text Solution

    |

  9. The equation of the line having inclination 120^(@) and y-intercept -3...

    Text Solution

    |

  10. The slope of the line 4x-5y-1=0 is

    Text Solution

    |

  11. The inclination of the line x-y+2=0 is

    Text Solution

    |

  12. Reduce the equation of the line 8x+6y-15=0 into slope intercept form

    Text Solution

    |

  13. The equation of the line having x-intercept -3//2, y-intercept 3//4 is

    Text Solution

    |

  14. The intercepts of the line 3y-5x+7=0 are

    Text Solution

    |

  15. The intercepts of line joining the points (4, -7), (1, -5) are

    Text Solution

    |

  16. Reduce the equation of the line 2x+3y-5=0 into intercepts form

    Text Solution

    |

  17. Reduce the equation of the line x cos alpha+y sin alpha-p=0 into inter...

    Text Solution

    |

  18. The area of the triangle formed by the line 3x+2y+7=0 with the coordin...

    Text Solution

    |

  19. The area (in square units) of the triangle formed by the lines x=0, y=...

    Text Solution

    |

  20. The area of the triangle formed by the line x//4+y//6=1 with the coord...

    Text Solution

    |