Home
Class 12
MATHS
The number of ordered pairs (x, y) of re...

The number of ordered pairs (x, y) of real number satisfying `4x^2 - 4x + 2 = sin^2 y and x^2 + y^2 <= 3` equal to

A

0

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

The number of ordered pair(s) (x, y) of real numbers satisfying the equation 1+x^(2)+2x sin(cos^(-1)y)=0 , is :

The number of distinct pairs (x,y) of the real number satisfying x=x^(3)+y^(4) and y=2xy is

Number of ordered pair (x, y) satisfying x^(2)+1=y and y^(2)+1=x is

The number of distinct pairs (x,y) of the real number satisfying x=x^(3)+y^(4)and y=2xy is :

The number of ordered pairs (x,y) of real numbers that satisfy the simultaneous equations x+y^(2)=x^(2)+y=12 is

Number of pairs (x,y) real number that satisfy 2x^(2)+y^(2)+2xy-2y+2=0, is

The number of ordered pairs (x, y) satisfying 4("log"_(2) x^(2))^(2) + 1 = 2 "log"_(2)y " and log"_(2)x^(2) ge "log"_(2) y , is

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then

    Text Solution

    |

  2. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  3. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  4. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  5. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  6. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |

  7. As shown in the figure AD is the altitude on BC and AD produced meets ...

    Text Solution

    |

  8. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

    Text Solution

    |

  9. Provethat the average of the numbers n sin n^@, n = 2,4,6...180 is co...

    Text Solution

    |

  10. A circle is inscribed inside a regular pentagon and another circle is ...

    Text Solution

    |

  11. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

    Text Solution

    |

  12. Minimum value of 4x^2-4x|sinx|-cos^2 theta is equal

    Text Solution

    |

  13. In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...

    Text Solution

    |

  14. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

    Text Solution

    |

  15. For any the real thetathe maximum value ofcos^2(costheta)+sin^2(sinthe...

    Text Solution

    |

  16. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

    Text Solution

    |

  17. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  18. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  19. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  20. If alpha, beta, gamma are acute angles and cos theta = sin beta//sin a...

    Text Solution

    |