Home
Class 11
MATHS
If alpha is a root of 25 cos^2 theta+5 c...

If `alpha` is a root of 25 `cos^2 theta+5 cos theta-12=0, pi/2 lt alpha lt pi`, then `sin 2alpha=`

A

`24/25`

B

`- 24/25`

C

`13/18`

D

`- 13/18`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos
  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

Solve : 5cos2theta+2cos^2(theta/2)+1=0,-pi lt theta lt pi

sin 2theta = cos 3theta (0 lt theta lt pi)

If sin theta + cos theta=0 and 0 lt theta lt pi , then theta=

cos2theta - cos 4theta = 0 (0^(@) lt theta lt 360^(@))

If alpha and beta be two roots of the equation a cos theta+ b sin theta=c , show that sin alpha+ sin beta=(2bc)/(a^(2)+b^(2)) ,sin alpha sin beta =(c^(2)-a^(2))/(a^(2)+b^(2)) and tan (alpha+ beta)=(2ab)/(a^(2)-b^(2))

If 3 sin theta+4cos theta=5(0lt theta lt pi/2) , show that sin theta =3/5 .

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)

If sin theta = nsin(theta +2alpha) then tan(theta + alpha) =

Evaluate int (cos 2 theta - cos 2 alpha )/(sin alpha - sin theta ) d theta

"If " pi/2 < theta lt pi and 5 sin ^(2) theta + 3 cos^(2) theta = 4, find the values of sin 2 theta and cos 3 theta.

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. If alpha in [pi/2,pi], then the value of sqrt(1+sin alpha)- sqrt(1-sin...

    Text Solution

    |

  2. Let alpha,beta be such that pi lt alpha-beta lt3 pi. If sin alpha+ sin...

    Text Solution

    |

  3. If alpha is a root of 25 cos^2 theta+5 cos theta-12=0, pi/2 lt alpha l...

    Text Solution

    |

  4. Let f(theta)=sin theta(sin theta+ sin 30) then f(theta)

    Text Solution

    |

  5. The general solution of the equation, 2cos 2x=3 cdot 2 cos^2 x-4 is

    Text Solution

    |

  6. Angles A and B are obtuse angles such that, tan A + tan B + tan A tan ...

    Text Solution

    |

  7. If x in [0,pi/2], the number of solutions of the equation, sin 7x + si...

    Text Solution

    |

  8. The principal solution set of the equation, 2 cos x = sqrt(2+2sin2x) i...

    Text Solution

    |

  9. The value of x and y satisfying the equations log(100)abs(x+y)=1/2, lo...

    Text Solution

    |

  10. Total number of solutions of [sin x] + cos x = 0, where [.] denotes th...

    Text Solution

    |

  11. Let f(n)=[1/2+n/100], where [.] denotes the greatest integer function,...

    Text Solution

    |

  12. If 0lt thetalt 2pi, then the intervals of values of theta for which 2...

    Text Solution

    |

  13. Number of solutions of the equation [2x] - 3{2x} = 1 is (where [/] and...

    Text Solution

    |

  14. If x ge0 and yge0, then the area bounded by the graph of [x] + [y] = 2...

    Text Solution

    |

  15. Let cos(alpha+beta)=4/5 and let sin(alpha-beta)=5/13, where 0le alpha,...

    Text Solution

    |

  16. If [x+[2x]] lt3, where [.] denotes the greatest integer function, then...

    Text Solution

    |

  17. Let a,b,c,d, be any four real numbers. Then a^n+b^n=c^n+d^n holds for ...

    Text Solution

    |

  18. Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves rem...

    Text Solution

    |

  19. If log(0.2) (x-1) gt log(0.04) (x+5) then

    Text Solution

    |

  20. The number of real roots of equation loge x+ ex=0

    Text Solution

    |