Home
Class 12
MATHS
C1 is a curve y^2=4x,C2 is curve obtaine...

`C_1` is a curve `y^2=4x,C_2` is curve obtained by rotating `C_1,120^@` in anti -clockwise direction `C_3` is reflection of `C_2` with respect to y=x and `S_1,S_2,S_3` are foci of `C_1,C_2` and `C_3`, respectively, where O is origin.
Area of `DeltaOS_2S_3` is

A

`1/8`

B

`1/4`

C

`1/2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

C_1 is a curve y^2=4x,C_2 is curve obtained by rotating C_1,120^@ in anti -clockwise direction C_3 is reflection of C_2 with respect to y=x and S_1,S_2,S_3 are foci of C_1,C_2 and C_3 , respectively, where O is origin. If (t^2,2t) are parametric form of curve C_1 , then the parametric form of curve C_2 is

C_1 is a curve y^2=4x,C_2 is curve obtained by rotating C_1,120^@ in anti -clockwise direction C_3 is reflection of C_2 with respect to y=x and S_1,S_2,S_3 are foci of C_1,C_2 and C_3 , respectively, where O is origin. IF S_1(x_1,y_2),S_2(x_2,y_2) and S_3(x_3,y_3) then the value of sumx_1^2+sumy_1^2 is

A wave is represented by an eqution y=c_1sin(c_2x+c_3t) . In which direction is the wave going? Assume that c_1,c_2 and c_3 are all positive.

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then The point of intersection of directrix of the curve C_(2) with C_(1)

The line L_(1)-=3x-4y+1=0 touches the circles C_(1) and C_(2) . Centers of C_(1) and C_(2) are A_(1)(1, 2) and A_(2)(3, 1) respectively Then, the length (in units) of the transverse common tangent of C_(1) and C_(2) is equal to

C_(2) is rotated anti-clockwise 120^(@) about C_(2)-C_(3) bond. The resulting conformer is

Two circles are S_1 = (x + 3)^2 + y^2 = 9,S_2 = (x-5)^5 + y^2 = 16 with centres C_1, & C_2. A direct common tangent is drawn from a point P (on x-axis) which touches S_1, & S_2 at Q & R, respectively.Find the ratio of area of DeltaPQC_1, & DeltaPRC_2.

ARIHANT MATHS-PARABOLA-Exercise (Passage Based Questions)
  1. Let C be the locus of the circumcentre of a variable traingle having s...

    Text Solution

    |

  2. The locus of the circumcenter of a variable triangle having sides the ...

    Text Solution

    |

  3. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

    Text Solution

    |

  4. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

    Text Solution

    |

  5. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

    Text Solution

    |

  6. If l and m are variable real number such that 5l^(2)+6m^(2)-4lm+3l=0, ...

    Text Solution

    |

  7. IF l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

    Text Solution

    |

  8. IF l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

    Text Solution

    |

  9. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

    Text Solution

    |

  10. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

    Text Solution

    |

  11. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

    Text Solution

    |

  12. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  13. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  14. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  15. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

    Text Solution

    |

  16. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

    Text Solution

    |

  17. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

    Text Solution

    |

  18. y=3x is tangent to the parabola 2y=ax^2+b. The minimum value of a+b i...

    Text Solution

    |

  19. y=3x is tangent to the parabola 2y=ax^2+ab. If (2,6) is the point of...

    Text Solution

    |

  20. y=3x is tangent to the parabola 2y=ax^2+ab. If b=18,then the point o...

    Text Solution

    |