Home
Class 12
MATHS
The sum of all the solution(s) of the ...

The sum of all the solution(s) of the equation `sin^(-1)2x=cos^(-1)x` is 0 (2) `2/(sqrt(5))` (3) `1/(sqrt(5))` (4) `(-1)/(sqrt(5))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The number of real solution(s) of the equation sin^(-1)sqrt(x^(2)-x+1)+cos^(-1)sqrt(x^(2)-x)=pi is/are

The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1)sqrt(x^2+x)=(3pi)/2 is 0 (b) -1 (c) 1 (d) 2

The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x + 1) + cos^(-1) sqrt(x^(2) + x) = (3pi)/(2) is

The number of solutions for the equation sin^(-1) sqrt((x^(2)-x+1))+cos^(-1)sqrt((x^(2)-x))=pi is :

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

Number of solutions of the equation cot^(-1)sqrt(4-x^(2))+cos^(-1)(x^(2)-5)=(3pi)/2 is:

If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is 0 b. 1/(sqrt(5)) c. 2/(sqrt(5)) d. (sqrt(3))/2

The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2)^(x/2) is

Number of solutions of equation sin x.sqrt(8cos^(2)x)=1 in [0, 2pi] are

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A scientist is weighing each of 30 fishes. Their mean weight worked ou...

    Text Solution

    |

  2. Let P and Q be two statements, then ~(~P^^Q)^^(PvvQ) is logically equi...

    Text Solution

    |

  3. The sum of all the solution(s) of the equation sin^(-1)2x=cos^(-1)x ...

    Text Solution

    |

  4. The number of solutions of the equation sin ((pix )/(2sqrt(3))=x^(2)-...

    Text Solution

    |

  5. Among 10 persons, A, B, C are to speak at a function. The number of...

    Text Solution

    |

  6. The solution for x of the equation int(sqrt(2))^(x)(dt)/(tsqrt(t^(2)-1...

    Text Solution

    |

  7. Let A be a square matrix of order 3 so that sum of elements of each ro...

    Text Solution

    |

  8. Triangle ABC has right angle at B and contains a point P for which ...

    Text Solution

    |

  9. Compute the area of the figure bounded by the straight lines x=0,x=2...

    Text Solution

    |

  10. The complex number sinx+icos2x and cosx-isin2x are conjugate to each o...

    Text Solution

    |

  11. The circumference of the circle x^2+y^2-2x+8y-q=0 is bisected by the c...

    Text Solution

    |

  12. A rigid body rotates about an axis through the orign with angular v...

    Text Solution

    |

  13. Which one of the following is not a contradiction? [~ p^^(pvv~ q)]^^q ...

    Text Solution

    |

  14. (a^4-1)x^2-(a^2+1)(sin^(-1)sin^3 2)x+(cos^(-1)cos2)(a^2-1)=0 . Find th...

    Text Solution

    |

  15. Let x and y be positive real numbers and theta an angle such that ...

    Text Solution

    |

  16. If ("lim")(tvecx)(e^tf(x)-e^xf(t))/((t-x)(f(x))^2)=2a n df(0)=1/2, the...

    Text Solution

    |

  17. The tangent to y = ax ^(2)+ bx + (7 )/(2) at (1,2) is parallel to the ...

    Text Solution

    |

  18. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

    Text Solution

    |

  19. If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...

    Text Solution

    |

  20. If I=intdx/(x^4sqrt(a^2+x^2)),t h e nI equals 1/(a^4)[1/xsqrt(a^2+x^2...

    Text Solution

    |