Home
Class 11
MATHS
The straight line 3x+4y-12=0 meets the ...

The straight line `3x+4y-12=0` meets the coordinate axes at `Aa n dB` . An equilateral triangle `A B C` is constructed. The possible coordinates of vertex `C` (a) `(2(1-(3sqrt(3))/4),3/2(1-4/(sqrt(3))))` (b)`(-2(1+sqrt(3)),3/2(1-sqrt(3)))` (c)`(2(1+sqrt(3)),3/2(1+sqrt(3)))` (d)`(2(1+(3sqrt(3))/4),3/2(1+4/(sqrt(3))))`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

4 cos^(2)x + sqrt(3) = 2(sqrt(3)+1)

The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,0) is (a) (1,(sqrt(3))/2) (b) (2/3,1/(sqrt(3))) (c) (2/3,(sqrt(3))/2) (d) (1,1/(sqrt(3)))

d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b) 3/((1+x)sqrt(x)) (c) 2/((1+x)sqrt(x)) (d) 3/(2(1+x)sqrt(x))

int (dx)/((a+sqrt(x))^((3)/(2)))=4sqrt(1+sqrt(x))+(4)/(sqrt(1+sqrt(x)))+c

tan^(2)x -(1+sqrt(3))tanx + sqrt(3)=0

Find the parametric coordinates of the point ((1)/(sqrt(3)),(1)/(sqrt(2))) on the hyperbola 12x^(2) - 4y^(2) = 3

int (dx)/(sqrt(1+sqrt(x)))=(4)/(3)(sqrt(x)-2)sqrt(1+sqrt(x))+c

Values (s)(-i)^(1/3) is/are (sqrt(3)-i)/2 b. (sqrt(3)+i)/2 c. (-sqrt(3)-i)/2 d. (-sqrt(3)+i)/2

Simplify: (sqrt2 (2 + sqrt3))/(sqrt3 (sqrt3 + 1)) - (sqrt2 (2 - sqrt3))/(sqrt3 (sqrt3 -1))

f(x)=(x-1)|(x-2)(x-3)|dot Then f decreases in (a) (2-1/(sqrt(3)),2) (b) (2,2+1/(sqrt(3))) (c) (2+1/(sqrt(3)),3) (d) (3,oo)

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

    Text Solution

    |

  2. Show that the straight lines given by x(a+2b)+y(a+3b)= a + b for diffe...

    Text Solution

    |

  3. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . ...

    Text Solution

    |

  4. Let ax+by+c=0 be a variable straight line, where a, b and c are 1^(st)...

    Text Solution

    |

  5. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

    Text Solution

    |

  6. Prove that all the having sum of the intercepts on the axes equal to h...

    Text Solution

    |

  7. Three straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y ...

    Text Solution

    |

  8. Find the straight line passing through the point of intersection of li...

    Text Solution

    |

  9. Three lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 form the three sides of tw...

    Text Solution

    |

  10. Consider a family of straight lines (x+y)+lambda(2x-y+1)=0. Find the...

    Text Solution

    |

  11. Find alpha if (alpha, alpha^2) lies inside the triangle having sides a...

    Text Solution

    |

  12. If 5a+4b+20c=t,then the value of t for which the line ax+by+c-1=0 alwa...

    Text Solution

    |

  13. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

    Text Solution

    |

  14. If x/l+y/m=1 is any line passing through the intersection point of the...

    Text Solution

    |

  15. Two sides of a rhombus OABC (lying in the first or third quadrant) of ...

    Text Solution

    |

  16. The equation of straight line belonging to both the families of lines ...

    Text Solution

    |

  17. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  18. Let the algebraic sum of the perpendicular distance from the points (2...

    Text Solution

    |

  19. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),(((b^2...

    Text Solution

    |

  20. If a , b ,c are in harmonic progression, then the straight line (x/a)+...

    Text Solution

    |