Home
Class 12
MATHS
Two sides of a rhombus OABC ( lying enti...

Two sides of a rhombus OABC ( lying entirely in first quadrant or fourth quadrant) of area equal to 2 sq. units, are `y =x/sqrt(3), y=sqrt(3)x` Then possible coordinates of B is / are ('O' being the origin)

A

`(1 + sqrt3, 1+ sqrt3)`

B

`(-1 -sqrt3, -1 -sqrt3)`

C

`(sqrt3, 1, sqrt3-1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE)|34 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Find the area lying in the first quadrant and bounded by the curve y=x^(3) and the line y=4x.

The area of the region in first quadrant bounded by the curves y = x^(3) and y = sqrtx is equal to

Find the area enclosed in the first quadrant by x^(2)+y^(2)=9

A point whose abscissa is -3 and ordinate 2 lies in First quadrant (b) Second quadrant Third quadrant (d) Fourth quadrant

Two sides of a rhombus lying in the first quadrant are given by 3x-4y=0 and 12x-5y=0. If the length of the longer diagonal is 12, then find the equations of the other two sides of the rhombus.

The area (in sq. units) in the first quadrant bounded by the parabola y=x^2+1 , the tangent to it at the point (2, 5) and the coordinate axes is

FIITJEE-MATHEMATICS -MCQ (MULTIPLE CORRECT)
  1. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

    Text Solution

    |

  2. It is desired to construct a right angled triangle ABC (/C= pi/2) in x...

    Text Solution

    |

  3. Two sides of a rhombus OABC ( lying entirely in first quadrant or four...

    Text Solution

    |

  4. A circle of radius r,r ne 0 touches the parabola y ^(2) + 12 x =0 at t...

    Text Solution

    |

  5. The equation of AB,BC, AC three sides of a triangle are -x + y -1 =0, ...

    Text Solution

    |

  6. If (a, 0) is a point on a diameter of the circle x^(2)+y6(2)=4, then t...

    Text Solution

    |

  7. The equation(s) of the tangent at the point (0,0) to the circle, makin...

    Text Solution

    |

  8. A tangent is drawn at any point (l,m) l, m ne 0 on the parabola y ^(2)...

    Text Solution

    |

  9. a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One ...

    Text Solution

    |

  10. If sqrt(1- sin A)= sin "" A/2 - cos "" A/2 could lie in quadrant

    Text Solution

    |

  11. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then x=pi/4 (b) y=0 y=1 ...

    Text Solution

    |

  12. If sin(picostheta)=cos(pis intheta),t h e ns in2theta= +-3/4 (b) +-4...

    Text Solution

    |

  13. AB and CD are two equal and parallel chords of the ellipse (x ^(2))/(a...

    Text Solution

    |

  14. In a triangle with sides, a,b, and c a semicircle toughing the sides A...

    Text Solution

    |

  15. In Delta ABC, sec A, sec B, sec C are in harmonic progression, then

    Text Solution

    |

  16. If in a triangle ABC, b cos ^(2) "" A/2 + a cos ^(2) "" B/2 = (3c)/(2)...

    Text Solution

    |

  17. If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, s...

    Text Solution

    |

  18. If in a triangle ABC, CD is the angular bisector of the angle ACB then...

    Text Solution

    |

  19. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

    Text Solution

    |

  20. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

    Text Solution

    |