Home
Class 12
MATHS
Two parallel chords are drawn on the sam...

Two parallel chords are drawn on the same side of the centre of a circle of radius R. It is found that they subtend and angle of `theta` and `2theta` at the centre of the circle. The perpendicular distance between the chords is

A

`2Rsin. (3theta)/(2) sin. (theta)/(2)`

B

`(1-cos. (theta)/(2))(1+2 cos. (theta)/(2))R`

C

`(1+cos. (theta)/(2))(1-2cos. (theta)/(2))R`

D

`2 R sin. (3theta)/(4) sin. (theta)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Solved Examples : Single Option Correct Type Questions|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Two parallel chords of lengths 30 cm and 16 cm are drawn on the opposite sides of the centre of a circle of radius 17 cm. find the distance between the chords.

In a circle of a radius 7 cm, an arc subtends an angle of 60^(@) at the centre. Find : the length of the arc

Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of pi/6 at the centre.

A chord is at a distance of 8 cm from the centre of a circle of radis 17 cm. The length of the chord is

In a circle of radius 21 cm, an arc subtends an angle of 60^@ at the centre. Find the length of the arc

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find : the length of the arc

In a circle of radius 21 cm, an arc subtends an angle of 60^@ at the centre. Find area of the sector formed by the arc.

Find the length of an arc of circle of radius 6cm subtending an angle of 15^(@) at the centre.

In the circle of 5cm.radius, what is the length of the arc which subtends and angle of 33^(@)15' at the centre.

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find : area of the sector formed by the arc

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two parallel chords are drawn on the same side of the centre of a circ...

    Text Solution

    |

  2. Let alpha and beta be non-zero real numbers such that 2 ( cos beta -...

    Text Solution

    |

  3. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  4. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  5. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

    Text Solution

    |

  6. The number of all possible values of theta, where 0 lt theta lt pi, fo...

    Text Solution

    |

  7. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  8. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  9. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

    Text Solution

    |

  10. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  11. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  12. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

    Text Solution

    |

  13. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  14. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  15. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  16. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  18. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  19. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |