Home
Class 12
MATHS
The number of solution of the equation |...

The number of solution of the equation `|x|=cosx,` is

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
We observe that the curves `y=|x|` and y=cos x intersect at two points only. Hence, the given equation has two solutions only.
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos

Similar Questions

Explore conceptually related problems

number of solution of the equation |x| = cos x

Statement:1: If sum _(r=1)^(n) sin(x_(r)) = n , then sum_(n=1)^(n) cot (x_(r)) =n . And Statement-2: The number of solutions of the equation cosx =x is 1.

The number of solutions of the equation 2^|x|=1+2|cosx| is

The number of real solutions of the equation e^x=x is

The number of solutions of the equation cos x+|x|=0 is

The number of solutions of the equation |cosx-sinx|=2cosx in [0,2pi] is (A) 1 (B) 2 (C) 3 (D) 4

The number of solutions of the equation sinx.cosx(cosx-sinx)^(2). (sinx + cosx) = lambda , where lambda lt 1/(2sqrt(2)) in the interval [0,4pi] is

The number of solutions of the equation 1+cosx+cos2x+sinx+sin2x+sin3x=0, which satisfy the condition pi/2<|3x-pi/2|lt=pi is

The number of solutions of the equation 1+cosx+cos2x+sinx+sin2x+sin3x=0, which satisfy the condition pi/2<|3x-pi/2|lt=pi is

The number of solutions of the equation (secx)/(1-cosx)=1/(1-cosx) in [0,\ 2pi] is equal to 3 (b) 2 (c) 1 (d) 0

OBJECTIVE RD SHARMA ENGLISH-MISCELLANEOUS EQUATIONS AND INEQUATIONS -Chapter Test
  1. The number of solution of the equation |x|=cosx, is

    Text Solution

    |

  2. If 3^(x)+2^(2x) ge 5^(x), then the solution set for x, is

    Text Solution

    |

  3. The number of real solutions of the equation 1-x=[cosx] is

    Text Solution

    |

  4. The number of solutions of [sin x+cos x]=3+[-sin x]+[-cos x] in the ...

    Text Solution

    |

  5. Let x=(a+2b)/(a+b) and y=(a)/(b), where a and b are positive integers....

    Text Solution

    |

  6. The solution set contained in Rof the following inequation3^x+3^(1-x)...

    Text Solution

    |

  7. If 0lt x lt pi//2 and sin^(n) x+ cos^(n) x ge 1 , then

    Text Solution

    |

  8. The number of real roots of the equation x^(2)+x+3+2 sin x=0, x in [...

    Text Solution

    |

  9. The number of real roots of the equation 1+3^(x//2)=2^(x), is

    Text Solution

    |

  10. Total number of solutions of the equation sin pi x=|ln(e)|x|| is :

    Text Solution

    |

  11. The number of roots of the equation [sin^(-1)x]=x-[x], is

    Text Solution

    |

  12. The number of values of a for which the system of equations 2^(|x|)+|x...

    Text Solution

    |

  13. The number of real solutions (x, y, z, t) of simultaneous equations 2y...

    Text Solution

    |

  14. If the sum of the greatest integer less than or equal to x and the lea...

    Text Solution

    |

  15. If x,y and z are real such that x+y+z=4, x^(2)+y^(2)+z^(2)=6, x belong...

    Text Solution

    |

  16. Consider the equation : x^(2)+198x+30=2sqrt(x^(2)+18x+45)

    Text Solution

    |

  17. x^(8)-x^(5)-(1)/(x)+(1)/(x^(4)) gt 0, is satisfied for

    Text Solution

    |

  18. The number of solutions of the equation ((1+e^(x^(2)))sqrt(1+x^(2)))...

    Text Solution

    |

  19. The number of real roots of the equation 1+a(1)x+a(2)x^(2)+………..a(n)...

    Text Solution

    |

  20. Let a,b be integers and f(x) be a polynomial with integer coefficients...

    Text Solution

    |

  21. Let Pn(ix) =1+2x+3x^2+............+(n+1)x^n be a polynomial such that...

    Text Solution

    |