Home
Class 12
MATHS
The product of all values of x satisfyin...

The product of all values of `x` satisfying the equation `sin^(-1)cos((2x^2+10|x|+4)/(x^2+5|x|+3))=cot(cot^(-1)((2-18|x|)/(9|x|)))+pi/2 ` is (a) `9` (b) `-9` (c) `-3` (d) `-1`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

Number of real values of x satisfying the equation log_2(x^2-x)*log_2((x-1)/x)+(log_2x)^2=4 ,is (a) 0 (b) 2 (c) 3 (d) 7

The number of values of yin[-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is 3 (b) 4 (c) 5 (d) 6

The value of x satisfying sqrt3^(-4+2log_(sqrt5)x)= 1//9 is

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

The value of x satisfying abs(x-1)^(log_3 x^2-2log_x 9)=(x-1)^7 is

The values of x_1 between 0 and 2pi , satisfying the equation cos3x+cos2x=sin(3x)/2+sinx/2 are

Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx|+|cos^2x|+|cos^3x|+...))=4^3

Solve cot^(-1) ((3x^(2) + 1)/(x)) = cot^(-1) ((1 - 3x^(2))/(x)) - tan^(-1) 6x

cot ^(-1)""x+cot^(-1)""2x=(3pi)/(4)

The value(s) of x, satisfying 3^(4log_9(x+1))=2^(2log_2 x)+3

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the principal value of the following : cos e c^(-1)(2)

    Text Solution

    |

  2. Column I, Column II (a)sin^(-1)x+x >0, (p) x<0 (b)cos^(-1)x-x >...

    Text Solution

    |

  3. The product of all values of x satisfying the equation sin^(-1)cos((2x...

    Text Solution

    |

  4. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^(sec^2(y))+1)=pi/2, the...

    Text Solution

    |

  5. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 ...

    Text Solution

    |

  6. The exhaustive set of value of a for which a-cot^(-1)3x=2tan^(-1)3x+co...

    Text Solution

    |

  7. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

    Text Solution

    |

  8. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

    Text Solution

    |

  9. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

    Text Solution

    |

  10. Find the value of x for which sec^(-1)x+sin^(-1)x=pi/2dot

    Text Solution

    |

  11. Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin...

    Text Solution

    |

  12. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+pq...

    Text Solution

    |

  13. Find the set of values of parameter a so that the equation (sin^(-1)x)...

    Text Solution

    |

  14. Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+...

    Text Solution

    |

  15. If x1, x2, x3, x4 are roots of the equation x^4-x^3sin2beta+x^2cos2bet...

    Text Solution

    |

  16. If tan^(-1)y=4tan^(-1)x then prove that x^4-6x^2+1=0 when 1/y = 0 and ...

    Text Solution

    |

  17. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  18. Find the sum cosec^(-1)sqrt(10)+cosec^(-1)sqrt(50)+cosec^(-1)sqrt(170)...

    Text Solution

    |

  19. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

    Text Solution

    |

  20. If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

    Text Solution

    |