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

If `t_(1),t_(2) and t_(3)` are distinct, the points `(t_(1)2at_(1)+at_(1)^(3)), (t_(2),2"at"_(2)+"at_(2)^(3)) and (t_(3) ,2at_(3)+at_(3)^(3))`

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:
C
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2019 PAPER 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

  • MOCK TEST 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

If t_(1)!=t_(2)!=t_(3) are the lines t_(1)x+y=2at_(1)+at_(1)^(3),t_(2)x+y=2at_(2)+at_(2)^(3),t_(3)x+y=2at_(3)+at_(3)^(3) are concurrent then t_(1)+t_(2)+t_(3)=

The three distinct point A(t_(1)^(2),2t_(1)),B(t_(2)^(2),2t_(2)) and C(0,1) are collinear,if

Find the area of that triangle whose vertices are (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2))and(at_(3)^(2),2at_(3)).

If a circle intersects the parabola y^(2) = 4ax at points A(at_(1)^(2), 2at_(1)), B(at_(2)^(2), 2at_(2)), C(at_(3)^(2), 2at_(3)), D(at_(4)^(2), 2at_(4)), then t_(1) + t_(2) + t_(3) + t_(4) is

Find the are of triangle whose vertex are: (at_(1),(a)/(t_(1)))(at_(2),(a)/(t_(2)))(at_(3),(a)/(t_(3)))

Prove that the area of the triangle whose vertices are : (at_(1)^(2),2at_(1)) , (at_(2)^(2),2at_(2)) , (at_(3)^(2),2at_(3)) is a^(2)(t_(1)-t_(2))(t_(2)-t_(3))(t_(3)-t_(1)) .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 1-MCQS
  1. The equation of the tangent to the curve y=1-e^(x//2) at the tangent t...

    Text Solution

    |

  2. If intf(x)*cosxdx=1/2{f(x)}^2+c, then f(0)= (A) 1 (B) 0 (C) -1 (D) non...

    Text Solution

    |

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

    Text Solution

    |

  4. Solution of the differential equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y...

    Text Solution

    |

  5. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

    Text Solution

    |

  6. By graphical method, the solutions of linear programming problem maxim...

    Text Solution

    |

  7. (p ^^ ~q) ^^ (~p vv q) is

    Text Solution

    |

  8. 26, The distance between the lines 3x + 4y = 9 and 6x + 8y + 15-0 is 3...

    Text Solution

    |

  9. In DeltaABC 2a^2+4b^2+c^2=2ab+2ac then numerical value of cosB is

    Text Solution

    |

  10. For real x, if f(x)=x^(3)+5x+1, then

    Text Solution

    |

  11. If x=sectheta-costheta,y=sec^(10)theta-cos^(10)theta and (x^(2)+4)((dy...

    Text Solution

    |

  12. If the lines joining the focii of the ellipse (x^(2))/(a^(2))+(y^(2))/...

    Text Solution

    |

  13. If int (sin2x-cos2x)dx=1/sqrt2sin(2x-a)+b then

    Text Solution

    |

  14. Value of int(2)^(3)(dx)/(sqrt((a+x^(3)))) is

    Text Solution

    |

  15. If X follows a binomial distribution with parameters n=8 and p=1//2, t...

    Text Solution

    |

  16. A fair die is tossed eight times. The probability that a third six is ...

    Text Solution

    |

  17. Box A contains 2 black and 3 red balls while box B contains 3 black an...

    Text Solution

    |

  18. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  19. If alpha,beta gt 0 and alpha lt and ax^(2)+4gammaxy+betay^(2)+4p(x+y+1...

    Text Solution

    |

  20. The area bounded by the graph x=|x-3|, thee X-axis and the lines x=-2 ...

    Text Solution

    |