Home
Class 11
MATHS
The straight line xcostheta+ysintheta=2 ...

The straight line `xcostheta+ysintheta=2` will touch the circle `x^2+y^2-2x=0`,if

A

`theta =npi,n in I`

B

`A=(2n+1) pi,n in I`

C

`theta =2npi,n in I`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - 9y^(2) = 36 if-

Prove that the locus of the mid - point of the portion of the line segment made by the straigh line xcostheta+ysintheta=p upon the coordinate axes is p^(2)(x^(2)+y^(2))=4x^(2)y^(2) .

If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, then prove that p^2=4a^2cosalphasinalphadot

Let L_1 be a straight line passing through the origin and L_2 be the straight line x+y=1 . If the intercepts made by the circle x^2+y^2-x+3y=0 on L_1 and L_2 are equal then which of the following equations can represent L_1 ?

Find the coodition that the straight line lx+my+n=0 is a normal to the circle x^(2)+y^(2)+2gx+2fy+c=0

If the straight line y = mx is outside the circle x^2+y^2-20y+90=0 , then

Find he point on the straight line y=2x+11 which is nearest to the circle 16(x^(2)+y^(2))+32x-8y-50=0 .

If the straight line y=mx lies outside of the circle x^(2)+ y^(2) - 20y + 90 =0 , then the value of m will satisfy

Find the equation of the straight line which passes through the centre of the circle x^(2) + y^(2) + 2x + 2y- 23 = 0 and is perpendicular to the straight line x-y+8 = 0.

The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2|x| = 0 is

PATHFINDER-CIRCLE-QUESTION BANK
  1. The length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the p...

    Text Solution

    |

  2. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |

  3. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

  4. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  5. The co-ordinates of two points P and Q are (x1,y1) and (x2,y2) and O i...

    Text Solution

    |

  6. Consider a family of circle which are passing through the point (-1,1)...

    Text Solution

    |

  7. If r1and r2 are the radii of smallest and largest circles which passes...

    Text Solution

    |

  8. The two circles which passes through (0,a) and (0,-a) and touch the li...

    Text Solution

    |

  9. Area of the triangle formed by the positive x-axis and the normal and ...

    Text Solution

    |

  10. if the distances from the origin to the centre of three circles x^2+y^...

    Text Solution

    |

  11. AB is a diameter of a circle and 'C' is any point on the circumference...

    Text Solution

    |

  12. The centres of a set of circles, each of radius 3 , lie on the circle ...

    Text Solution

    |

  13. A circle touches the x-axis and also touches the circle with centre (0...

    Text Solution

    |

  14. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  15. The difference between the radii of the largest and the smallest circl...

    Text Solution

    |

  16. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

    Text Solution

    |

  17. The equation of circumcircle of an equilateral triangle is x^2+y^2+2gx...

    Text Solution

    |

  18. The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-...

    Text Solution

    |

  19. If the points (0,0),(1,0),(0,1) and (t,t) are concyclic, then t=

    Text Solution

    |

  20. If a circle of constant radius 3K passes through the origin and meets ...

    Text Solution

    |