Home
Class 12
MATHS
(m+2)sin theta+(2m-1)cos theta=2m+1, if...

`(m+2)sin theta+(2m-1)cos theta=2m+1`, if

A

`tantheta=(3)/(4)`

B

`tantheta=(2m)/(m^(2)+1)`

C

`tantheta=(2m)/(m^(2)-1)`

D

`tantheta=(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

(m+2)sintheta+(2m-1)costheta=2m+1 then tan theta is

Find the A.M. between: ( cos theta + sin theta )^(2) and ( cos theta - sin theta)^(2)

If u=(1+cos theta)(1+cos 2theta)-sin theta.sin 2theta, v=sin theta(1+cos 2theta)+sin 2theta(1+cos theta) , then u^(2)+v^(2)=

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)

If sin theta = (1)/(2)cos theta , and 0 le theta le (pi)/(2) , the value of (1)/(2)sin theta is

If x= a sin 2theta (1+ cos 2theta) , y= b cos 2theta(1- cos 2theta) , then (dy)/(dx) =

If (a cos theta_(1), a sin theta_(1)), ( a cos theta_(2), a sin theta_(2)), (a costheta_(3), a sin theta_(3)) represents the vertices of an equilateral triangle inscribed in x^(2) + y^(2) = a^(2) , then

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

If Delta_(1) =|{:(x, sin theta, cos theta),(-sin theta, -x, 1),(cos theta, 1,x):}| and Delta_(2) =|{:(x, sin 2theta, cos 2theta),(-sin 2theta, -x, 1),(cos 2theta, 1,x):}|, x ne 0 , then for all theta in (0, pi/2) , Then, Delta_(1) + Delta_(2) =-2x^(k) . The value of k is ________.

If cos ec theta - sin theta = m and sec theta - cos theta = n, then show that (m ^(2) n ) ^(2//3) + (mn ^(2)) ^( 2//3) = 1.

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. The complete set of solution of Inequality (x^2-5 x+6 sgn(x))/(x sgn(x...

    Text Solution

    |

  2. (1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3...

    Text Solution

    |

  3. (m+2)sin theta+(2m-1)cos theta=2m+1, if

    Text Solution

    |

  4. If X=x cos theta-y sin theta, Y=x sin theta+y cos theta and X^(2)+4XY...

    Text Solution

    |

  5. Prove that (1+tan1^0)(1+tan2^0)(1+tan45^0)=2^(23)dot

    Text Solution

    |

  6. Find the number of solutions to 2cosx=|sinx|,0lexle4pi.

    Text Solution

    |

  7. if the equation sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0 is solved for ...

    Text Solution

    |

  8. In (0,6pi), the number of solutions of the equation tantheta+tan2theta...

    Text Solution

    |

  9. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

    Text Solution

    |

  10. The number of integral values of a for which the equation cos2x+a sin ...

    Text Solution

    |

  11. If the arithmetic mean of the roots of the equation 4cos^(3)x-4cos^(2)...

    Text Solution

    |

  12. Number of solution of sinx cosx-3cosx+4sinx-13 gt 0 in [0,2pi] is equa...

    Text Solution

    |

  13. The solution of sqrt(5-2sinx) ge 6 sinx-1 is

    Text Solution

    |

  14. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

    Text Solution

    |

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

    Text Solution

    |

  16. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

    Text Solution

    |

  17. The positive integer value of n gt 3 satisfying the equation (1)/(sin...

    Text Solution

    |

  18. The number of values of theta in the interval (-pi/2, pi/2) such that ...

    Text Solution

    |

  19. Let (x(0), y(0)) be the solution of the following equations: (2x)^("...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |