Home
Class 10
MATHS
If 3x = cosec alpha and 3/x = cot alpha ...

If `3x = cosec alpha` and `3/x = cot alpha` then `3(x^2-1/x^2)=`

A

`2/27`

B

`1/81`

C

`1/3`

D

`1/9`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Application of Trigonnometric Ratios : Heights of Distance

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • BEGUNKODAR HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

If x = m cosec alpha and y = n cot alpha , then the value of (x^2)/(m^2) - (y^2)/(n^2) is

If 3x="cosec" alpha and (3)/(x)=cot alpha , then the value of 3(x^(2)-(1)/(x^(2))) is

If sec alpha and cosec alpha are the roots of x^2-px+q=0 then prove that p^2=q(q+2)

If sec alpha and "cosec" alpha are the roots of x^(2)- px+q=0 then show that p^(2)=q(q+2)

If tan alpha=(x)/(y) , then show that x "cosec" (alpha)/(3)- y "sec" (alpha)/(3)=3 sqrt(x^(2)+y^(2))(0 lt alpha lt (pi)/(2))

Show that, (x tan alpha + y cot alpha)( x cot alpha + y tan alpha) = (x+y)^(2) + 4 xycot^(2) 2 alpha.

x(x-3)=4,has two roots alpha and beta then alpha^2+beta^2=?

If alpha,beta(alpha < beta) are the roots of equation 6x^2+11x+3="0 , then which following real? (a) cos^(-1)alpha (b) sin^(-1)beta (c) cosec^(-1)alpha (d) both cot^(-1)alpha and cot^(-1)beta

UNITED BOOK HOUSE-BARANAGAR RAMAKRISHAN MISSION HIGH SCHOOL-EXERCISE
  1. ABCD is a cyclic quadrilateral and O is the centre of the circle and ...

    Text Solution

    |

  2. If the numberical values of volume and curved surface area of a solid ...

    Text Solution

    |

  3. If 3x = cosec alpha and 3/x = cot alpha then 3(x^2-1/x^2)=

    Text Solution

    |

  4. Median of a frequency distribution indicate graphically with the help ...

    Text Solution

    |

  5. Fill in the blanks A man who gives a loan is called.

    Text Solution

    |

  6. Fill in the blanks If sum and product of two quadractic surds is a...

    Text Solution

    |

  7. Fill in the blanks If the Sun's angle of elevation increases, the l...

    Text Solution

    |

  8. The numbers of plane surface of a solid hemisphere are

    Text Solution

    |

  9. Fill in the blanks Two triangles are similar if theirsides are prop...

    Text Solution

    |

  10. Fill in the blanks Mean, median, mode are the measure of.

    Text Solution

    |

  11. Write True or False In compound interest, time and total interest are...

    Text Solution

    |

  12. Write True or False The roots of the equation x^2+kx+1=0 will be real...

    Text Solution

    |

  13. Let's find if the following statements are true or false. The diagon...

    Text Solution

    |

  14. If surface area and volume of a sphere are S and V respectively, Then ...

    Text Solution

    |

  15. Write True or False In cyclic quadrilateral ABCD, tan (A/2).tan(C/2)=...

    Text Solution

    |

  16. Find the angle between the x-axis and the line joining the points (3, ...

    Text Solution

    |

  17. Ratio of capital between three man is 4:8:9. If the difference of the ...

    Text Solution

    |

  18. In how many years will Rs 10,000 in compound interest at the rate of 1...

    Text Solution

    |

  19. If one of the root of the equation x^2-(2+b)x+6=0 is 2, then find its ...

    Text Solution

    |

  20. If (a+b):sqrt(ab) = 2:1 find a:b.

    Text Solution

    |