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

16

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|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)=

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2009-MATHEMATICS
  1. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  2. The smallest positive integral value of n such that [(1+"sin"pi/8+i"co...

    Text Solution

    |

  3. Which one of the following is possible?

    Text Solution

    |

  4. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  5. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  6. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |

  7. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  8. The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 whi...

    Text Solution

    |

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

    Text Solution

    |

  10. The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)...

    Text Solution

    |

  11. The co ordinates of the cenre of the smallest circle passing through t...

    Text Solution

    |

  12. The length of the diameter of the circle which cuts three circles x...

    Text Solution

    |

  13. For the parabola y^(2)=4x the point P whose focal distance is 17 is

    Text Solution

    |

  14. The angle between the tangents drawn to the parabola y^(2)=12x from th...

    Text Solution

    |

  15. The number of values oif c such that the line y=4x+c touches the curve...

    Text Solution

    |

  16. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  17. The foot of the perpendicular from the point (2,4) upon x+y=4 is

    Text Solution

    |

  18. The vertices of triangle ar (6,0),(0,6) and (6,6). The distance betwee...

    Text Solution

    |

  19. The angle between the pair of lines x^(2)+2xy-y^(2)=0 is

    Text Solution

    |

  20. lim(n to oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |