Home
Class 11
MATHS
A circular ring of radius 3cm hangs hori...

A circular ring of radius 3cm hangs horizontally from a point 4 cm vertically above the centre by 4 strings attached at equal intervals to its circumference. If the angle between two consecutive strings be `theta` , then `costheta` is equal to (A)`4/5` (B) `4/(25)` (C) `(16)/(25)` (D) none of these

Text Solution

Verified by Experts

OP=4cm
OA=OB=OC=OD=3cm
`(OA)^2+(OP)^2=(AP)^2`
`AP^2=3^3+4^2=25`
`AP=5cm`
AP=BP=DP=CP=5cm
`AB^2+BC^2=AC^2`
`2AB^2=6^2`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

A circular ring of radius 3cm hangs horizontally form a point 4cm vertically above the centre by 4 strings attached at equal intervals to its circumference. If the angle between two consecutive strings be theta , then costheta is equal to 4/5 (b) 4/(25) (d) (16)/(25) (d) none of these

A circular ring of radius 5 cm is suspended horizontally from a point 12 cm vertically above its centre by 6 strings attached to its circumference at equal intervals. The cosine of the angle between two consecutive ring is

A ring,10 cm in diameter, is suspended from a point 12cm above its centre by 6 equal strings attached to its circumference at equal intervals. Find the cosine of the angle between consecutive strings.

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a) 0 (b) 1 (c) -1 (d) None of these

If tantheta=3/4 , then cos^2theta-sin^2theta= (a) 7/(25) (b) 1 (c) -7/(25) (d) 4/(25)

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to 0 (b) 1 (c) -1 (d) None of these

Two circles of radii 4cm and 1cm touch each other externally and theta is the angle contained by their direct common tangents. Then sintheta is equal to (a) (24)/(25) (b) (12)/(25) (c) 3/4 (d) none of these

int|x|^3\ dx is equal to (a) (- x^4)/4+C (b) (|x|^4)/4+C (c) (x^4)/4+C (d) none of these

If theta is the angle between any two vectors vec a and vec b , then vec a. vec b=| vec axx vec b| when theta is equal to (a) 0 (B) pi/4 (C) pi/2 (d) pi

If costheta=2/3 , then 2sec^2theta+2tan^2theta-7 is equal to (a) 1 (b) 0 (c) 3 (d) 4

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sqrt(2)cos A=cos B+cos^3B ,a n dsqrt(2)sinA=sinB-sin^3Bt h e nsin(A...

    Text Solution

    |

  2. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpe...

    Text Solution

    |

  3. A circular ring of radius 3cm hangs horizontally from a point 4 cm ve...

    Text Solution

    |

  4. If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbe...

    Text Solution

    |

  5. tan9-tan27-tan63+tan81=4

    Text Solution

    |

  6. Let x=sin1^0, then the value of the expression. 1/(cos0^0dotcos1^0)+...

    Text Solution

    |

  7. If (tan3A)/(tanA)=k(k!=1) then which of the following is not true? (...

    Text Solution

    |

  8. If x in (pi,(3pi)/2),then 4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is ...

    Text Solution

    |

  9. If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y...

    Text Solution

    |

  10. If theta is eliminated from the equations x=a"cos"(theta-alpha) and y=...

    Text Solution

    |

  11. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to ...

    Text Solution

    |

  12. Given that (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin4y is equal to (...

    Text Solution

    |

  13. If cos2B=(cos(A+C))/("cos"(A-C)), then tanA ,t a n B ,tanC are in (...

    Text Solution

    |

  14. If ("cos"(x-y))/("cos"(x+y))+("cos"(z+t))/(cos(z-t))=0 , then the val...

    Text Solution

    |

  15. For all theta in [ 0, pi//2], show that cos ( sin theta) gt sin (cos...

    Text Solution

    |

  16. Given alpha+beta-gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma...

    Text Solution

    |

  17. The maximum value of y=1/(sin^6x+cos^6x) is

    Text Solution

    |

  18. The value of cos e c10^0+cos e c50^0-cos e c70^0 is

    Text Solution

    |

  19. Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e...

    Text Solution

    |

  20. Given that f(ntheta)=(2sin2theta)/(cos2theta-cos4ntheta), and f(theta)...

    Text Solution

    |