Home
Class 12
MATHS
Let P, Q are two points on the curve y =...

Let `P, Q` are two points on the curve `y = log_(1/2) (x-0.5)+log_2 sqrt(4x^2- 4x+1)` and P is also on the `x^2+y^2 = 10, Q` lies inside the given circle such that its abscissa is an integer.so x coordinate of P are

A

1

B

4

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|60 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -1|90 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Let P and Q are two points on the curve y=log_((1)/(2))(x-0.5)+log_2sqrt(4x^(2)-4x+1) and P is also on the circle x^(2)+y^(2)=10 . Q lies inside the given circle such that its abscissa is an integer. Q. OP*OQ , O being the origin is

Let P and Q are two points on curve y=log_((1)/(2))(x-(1)/(2))+log_(2) sqrt(4x^(2)-4x+1) and P is also on x^(2)+y^(2)=10 . Q lies inside the given circle such that its abscissa is integer. Find the smallest possible value of vec(OP)*vec(OQ) where 'O' being origin.

P(sqrt2,sqrt2) is a point on the circle x^2+y^2=4 and Q is another point on the circle such that arc PQ= 1/4 circumference. The co-ordinates of Q are

If log_(2)(5.2^(x)+1),log_(4)(2^(1-x)+1) and 1 are in A.P,then x equals

If log_(2)(5.2^(x)+1),log_(4)(2^(1-x)+1) and 1 are in A.P,then x equals

P is a point on the circle x^2+y^2=9 Q is a point on the line 7x+y+3=0 . The perpendicular bisector of PQ is x-y+1=0 . Then the coordinates of P are:

Let P and Q be two points on the curves x^2+y^2=2 and (x^2)/8+y^2/4 =1 respectively. Then the minimum value of the length PQ is

The tangent at a point P on the curve y =ln ((2+ sqrt(4-x ^(2)))/(2- sqrt(4-x ^(2))))-sqrt(4-x ^(2)) meets the y-axis at T, then PT^(2) equals to :

A tangent to the circle x^(2)+y^(2)=1 through the point (0, 5) cuts the circle x^(2)+y^(2)=4 at P and Q. If the tangents to the circle x^(2)+y^(2)=4 at P and Q meet at R, then the coordinates of R are

The point P of the curve y^(2)=2x^(3) such that the tangent at P is perpendicular to the line 4x-3y +2=0 is given by

VMC MODULES ENGLISH-VECTORS -LEVEL -2
  1. a, b, c are non-zero unit vectors inclined pairwise with the same angl...

    Text Solution

    |

  2. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

    Text Solution

    |

  3. If veca, vecb, vecc are three given non-coplanar vectors and any arbit...

    Text Solution

    |

  4. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

    Text Solution

    |

  5. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

    Text Solution

    |

  6. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

    Text Solution

    |

  7. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

    Text Solution

    |

  8. Let P, Q are two points on the curve y = log(1/2) (x-0.5)+log2 sqrt(4x...

    Text Solution

    |

  9. Let x,y,z be the vector, such that |x|=|y|=|z| =sqrt(2) and x,y,z make...

    Text Solution

    |

  10. Let x,y,z be the vector, such that |x|=|y|=|z| =sqrt(2) and x,y,z make...

    Text Solution

    |

  11. Let x, y, z be the vector, such that |x|=|y|=|z|=sqrt(2) and x, y, z m...

    Text Solution

    |

  12. Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) be a decreasing function fora...

    Text Solution

    |

  13. Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) be a decreasing function fora...

    Text Solution

    |

  14. If O is the circumcentre, G is the centroid and O' is orthocentre or t...

    Text Solution

    |

  15. Show that the angle between two diagonals of a cube is cos^(-1)sqrt(1/...

    Text Solution

    |

  16. Prove that in a parallelogram, the sum of the squres of the diagonals ...

    Text Solution

    |

  17. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  18. In quadrilateral ABCD, vec(AB)=veca, vec(BC)=vecb, vec(AD)=vecb-veca I...

    Text Solution

    |

  19. Prove by vector method, that in a right-angled triangle ABC, AB^(2) + ...

    Text Solution

    |

  20. If veca, vecb, vecc are non-coplanar vectors, prove that the following...

    Text Solution

    |