Home
Class 12
MATHS
Let RS be the diameter of the circle x^2...

Let RS be the diameter of the circle `x^2+y^2=1,` where S is the point `(1,0)` Let P be a variable apoint (other than `R and S`) on the circle and tangents to the circle at `S and P` meet at the point Q.The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. then the locus of E passes through the point(s)- (A) `(1/3,1/sqrt3)` (B) `(1/4,1/2)` (C) `(1/3,-1/sqrt3)` (D) `(1/4,-1/2)`

A

`((1)/(3),(1)/(sqrt3))`

B

`((1)/(4),(1)/(2))`

C

`((1)/(3),-(1)/(sqrt3))`

D

`((1)/(4),-(1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

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

If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) meets the auxiliary circle at point R and Q , then find the points of intersection of tangents to the circle at Q and Rdot

A variable plane at constant distance p form the origin meets the coordinate axes at P,Q, and R. Find the locus of the point of intersection of planes drawn through P,Q, r and parallel to the coordinate planes.

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touches the circle at point A. If the tangent passes through the point P(2, 1),then PA=

AB is the diameter of a circle with centre O. A line PQ touches the given circle at point R and cuts the tangents to the circle through A and B at points P and Q respectively. Prove that /_POQ=90^(@)

A tangent P Q at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that O Q=13 c m . Find the length of P Q .

Two parallel tangents of a circle meet a third tangent at points P and Q. Prove that PQ subtends a right angle at the centre.

If the line y=2-x is tangent to the circle S at the point P(1,1) and circle S is orthogonal to the circle x^2+y^2+2x+2y-2=0 then find the length of tangent drawn from the point (2,2) to the circle S

ARIHANT MATHS ENGLISH-CIRCLE -Exercise (Subjective Type Questions)
  1. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  2. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

    Text Solution

    |

  3. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  4. The circle passing through the point ( -1,0) and touching the y-axis ...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The two circles x^(2)+y^(2) = ax and x^(2)+y^(2) = c^(2) ( c gt0) touc...

    Text Solution

    |

  7. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  8. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  9. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  10. The length of the diameter of the circle which touches the x-axis at ...

    Text Solution

    |

  11. The circle passing through ( 1, -2) and touching the axis of x at ( 3,...

    Text Solution

    |

  12. Circle(s) touching x-axis at a distance 3 from the origin and having a...

    Text Solution

    |

  13. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

    Text Solution

    |

  14. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  15. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+"...

    Text Solution

    |

  16. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  17. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  18. if one of the diameters of the circle, given by the equation, x^(2)+y^...

    Text Solution

    |

  19. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

    Text Solution

    |

  20. For how many values of p, the circle x^(2)+y^(2)+2x+4y-p=0 and the coo...

    Text Solution

    |