Home
Class 11
MATHS
If (acostheta1,asintheta1),(acostheta2,a...

If `(acostheta_1,asintheta_1),(acostheta_2,asintheta_2)` and `(acostheta_3,asintheta_3)` represent the vertices of an equilateral triangle inscribed in a circle, then (a) `costheta_1+costheta_2+costheta_3=0` (b) `sintheta_1+sintheta_2+sintheta_3=0` (c) `tantheta_1+tantheta_2+tantheta_3=0` (d) `cottheta_1+cottheta_2+cottheta_3=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If (a costheta_1,asintheta_1),(acostheta_2,a sintheta_2) , and (acostheta_3a sintheta_3) represent the vertces of an equilateral triangle inscribed in a circle. Then.

If DeltaABC having vertices A(acostheta_1, asintheta_1), B(acostheta_2, asintheta_2), and C(acostheta_3, asintheta_3) are equilateral triangle, then prove that cos theta_1 + costheta_2 + cos theta_3 =0 and sintheta_1 + sintheta_2 + sintheta_3 =0

If A B C having vertices A(acostheta_1,asintheta_1),B(acostheta_2asintheta_2),a n dC(acostheta_3,asintheta_3) is equilateral, then prove that costheta_1+costheta_2+costheta_3=sintheta_1+sintheta_2+sintheta_3=0.

If sintheta_1+sintheta_2+sintheta_3=3," then "costheta_1+costheta_2+costheta_3 is equal to

Prove that (costheta-sintheta+1)/(costheta+sintheta-1)=c o s e ctheta+cottheta

If 3costheta-4sintheta=2costheta+sintheta , find tantheta .

If 3tantheta=4 , find the value of (4costheta-sintheta)/(2costheta+sintheta)

(sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta

Prove that : (sectheta+tantheta-1)/(tantheta-sectheta+1)=(costheta)/(1-sintheta)

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let A(0,1),B(1,1) ,C(1,-1) ,D(-1,0) be four points. If P is any other ...

    Text Solution

    |

  2. If (acostheta1,asintheta1),(acostheta2,asintheta2) and (acostheta3,as...

    Text Solution

    |

  3. The area of triangle A B C is 20c m^2dot The coordinates of vertex A a...

    Text Solution

    |

  4. If a ,b ,c are the p t h ,q t h ,r t h terms, respectively, of an H P ...

    Text Solution

    |

  5. Let A B C D be a rectangle and P be any point in its plane. Show that ...

    Text Solution

    |

  6. A rod of length k slides in a vertical plane, its ends touching the ...

    Text Solution

    |

  7. Prove that the circumcenter, orthocentre, incenter, and centroid of th...

    Text Solution

    |

  8. If x1,x2,x3 as well as y1,y2,y3 are in G P with the same common ratio,...

    Text Solution

    |

  9. Statement 1 :If the lines 2x+3y+19=0 and 9x+6y-17=0 cut the x-axis at ...

    Text Solution

    |

  10. If the points (x1, y1),(x2,y2), and (x3, y3) are collinear show that...

    Text Solution

    |

  11. Find dy/dx, if y = (1 - tan^2x)/(1 + tan^2x) .

    Text Solution

    |

  12. The coordinates of A ,B ,C are (6,3),(-3,5),(4,-2) , respectively, and...

    Text Solution

    |

  13. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  14. For points P-=(x1, y1) and Q-=(x2, y2) of the coordinate plane, a new ...

    Text Solution

    |

  15. Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5...

    Text Solution

    |

  16. If (x , y) and (x ,y) are the coordinates of the same point referred t...

    Text Solution

    |

  17. O X and O Y are two coordinate axes. On O Y a fixed point P(0,c) is t...

    Text Solution

    |

  18. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

    Text Solution

    |

  19. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

    Text Solution

    |

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

    Text Solution

    |