Home
Class 12
MATHS
The length of the chord joining the poin...

The length of the chord joining the points `(4 cos theta, 4 sin theta)` and `(4 cos (theta+60^(2)),4 sin (theta+60^(@)))` of the circle `x^(2)+y^(2)=16` is

A

25

B

12

C

13

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The length of the chord joining the points (4 cos theta , 4 sin theta ) and (4 cos ( theta+ 60^@ ), 4 sin ( theta+ 60^@ )) of the circle x^2+y^2=16 is :

((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

The locus of the point x=a(cos theta+sin theta) y=b (cos theta-sin theta) is

The distance between the points (a cos theta, a sin theta) and (a cos varphi, a sin varphi) is 2 a , then theta=

The value of the integral int_0^(pi/4) (sin theta + cos theta)/(9+16 sin 2 theta) d theta is

The centroid of a triangle formed by the points (0, 0), (cos theta, sin theta) and (sin theta, -cos theta) lies on the line y=2x . Then theta is :

If cos theta + sin theta = sqrt(2) cos theta , show that cos theta - sin theta = sqrt(2) sin theta .

Prove that: (1-sin theta + cos theta)^(2) = 2(1+ cos theta) (1-sin theta) .

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

If A=[[sin theta , cos theta],[-cos theta , -sin theta]] then A^(2)=

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The chord of contact of tangents drawn from any point on the circle x^...

    Text Solution

    |

  2. If x=7 tonches the circle x^(2)+y^(2)-4 x-6 y-12=0 then the point o...

    Text Solution

    |

  3. The length of the chord joining the points (4 cos theta, 4 sin theta) ...

    Text Solution

    |

  4. The angle between the tangents from the origin to the circle (x-7)^2 +...

    Text Solution

    |

  5. The equation of the circle having radius 3 and touching the circle x^(...

    Text Solution

    |

  6. The Locus of the centre of the circle of radius 3, which rolls on the ...

    Text Solution

    |

  7. The locus of the mid-points of chords of the circle x^2+y^2 =4, which ...

    Text Solution

    |

  8. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |

  9. If the line y=m x is outside the circle x^(2)+y^(2)-20 y+90=0 then

    Text Solution

    |

  10. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

    Text Solution

    |

  11. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  12. The circles x^(2)+y^(2)+6 x+k=0 and x^(2)+y^(2)+8 y-20=0 touch each o...

    Text Solution

    |

  13. The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

    Text Solution

    |

  14. The points (1,0),(0,1),(0,0) and (2k,3k),k!=0 are concyclic if k =

    Text Solution

    |

  15. From any point on the circle x^(2)+y^(2)=a^(2), tangtnts are drawn to...

    Text Solution

    |

  16. Angle between tangents drawn from a point on the director circle x^(2...

    Text Solution

    |

  17. Two tangents drawn from P(7,1) to the circle x^(2)+y^(2)=25 touches t...

    Text Solution

    |

  18. The ltngth of the tangtnt from (5,3) to the circle x^(2)+y^(2)+10 x+k...

    Text Solution

    |

  19. The equation of the tangtnt to the circle x^(2)+y^(2)-2 x+8 y-23=0 ha...

    Text Solution

    |

  20. The equation of the circle in the first quadrant touching each co-ordi...

    Text Solution

    |