Home
Class 12
MATHS
Let P and Q are two points on the curve ...

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. The coordinates of P are given by

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 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, 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.

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

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

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 to the parabola y=x^(2)-2x+8 at P(2, 8) touches the circle x^(2)+y^(2)+18x+14y+lambda=0 at Q. The coordinates of point Q are

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 normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. A rod AB of length 2L and mass m is lying on a horizontal frictionless...

    Text Solution

    |

  2. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

    Text Solution

    |

  3. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

    Text Solution

    |

  4. If A is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

    Text Solution

    |

  5. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

    Text Solution

    |

  6. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

    Text Solution

    |

  7. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

    Text Solution

    |

  8. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  9. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

    Text Solution

    |

  10. A, B, C, D are four points in the space and satisfy |vec(AB)|=3, |vec(...

    Text Solution

    |

  11. Let OABC be a regular tetrahedron of edge length unity. Its volume be ...

    Text Solution

    |

  12. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

    Text Solution

    |

  16. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |