Home
Class 12
MATHS
The number of solutions of tanx-m x=0,m ...

The number of solutions of `tanx-m x=0,m >1,` in `(-pi/2,pi/2)` is 1 (b) 2 (c) 3 (d) `m`

Text Solution

Verified by Experts


In `(-(pi)/(2), 0)`, the graph of y = tan x lies below the line y = x, which is the tangent at x = 0 and in `(0, (pi)/(2))`, it lies above the line y = x.
For `m gt 1`, the line y = mx lies below y = x in `(-(pi)/(2), 0)` and above y = x in `(0, (pi)/(2))`. The graphs of y = tan x and y = mx, `m gt 1`, meet at three points,
including x = 0 in `(- (pi)/(2), (pi)/(2))`.
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|22 Videos

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE|Exercise Exercise|34 Videos

  • HIGHT AND DISTANCE

    CENGAGE|Exercise JEE Previous Year|3 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is (A) 1 (B) 2 (C) 3 (D) m

Find the number of solutions of sin^2x-sinx-1=0in[-2pi,2pi]

the number of solution of tanx + sec x = 2 cos x "in " [0,2 pi] is

The number of roots of the equation xsinx=1,x in [-2pi,0)uu(0,2pi] is 2 (b) 3 (c) 4 (d) 0

Find the number of solutions of the equation 3tanx+x^3=2in(0,pi/4)

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

The number of solutions of sum_(r=1)^5cosrx=5 in the interval [0,2pi] is 0 (b) 2 (c) 5 (d) 10

The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is equal to 1 (b) 2 (c) 3 (d) 0

Find the number of solution of the equation x^(3)+2x+cosx+tanx=0 in (-(pi)/(2),(pi)/(2))

The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal to 2 (b) 3 (c) 5 (d) none of these

CENGAGE-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercise
  1. Draw the graph of y = cos^(2)x.

    Text Solution

    |

  2. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

    Text Solution

    |

  3. Draw the graph of y = tan^(2) x.

    Text Solution

    |

  4. Draw the graph of y = sin x + cos x, x in [0, 2pi].

    Text Solution

    |

  5. Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the...

    Text Solution

    |

  6. Draw the graph of y = sin pisqrt(x).

    Text Solution

    |

  7. The number of roots of the equation xsinx=1,x in [-2pi,0)uu(0,2pi) is ...

    Text Solution

    |

  8. Evaluate : [lim(x to 0) (tan x)/(x)], where [*] represents the greates...

    Text Solution

    |

  9. For f(x) = sin x - x^(2) + 1, check weather the function is increasing...

    Text Solution

    |

  10. Draw the graph of the function f(x)=max dot {(sinx ,cos2x)},x in [0,2p...

    Text Solution

    |

  11. Draw the graph of y = cos x, x in [0, 2pi], where [*] denotes the gre...

    Text Solution

    |

  12. The total number of solution of sin{x}=cos{x} (where {} denotes the fr...

    Text Solution

    |

  13. Draw the graph of f(x) = |tan x| + |cot x|.

    Text Solution

    |

  14. Find the number of solutions to cos x = (x)/(10), x gt 0.

    Text Solution

    |

  15. The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is 1 (b) 2...

    Text Solution

    |

  16. Find the number of solutions to log(e) |sin x| = -x^(2) + 2x in [-(pi)...

    Text Solution

    |

  17. Solve cos x = 1/2.

    Text Solution

    |

  18. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

    Text Solution

    |

  19. Draw the graph of y = (x^(2))/(10) sin x.

    Text Solution

    |

  20. Draw the graph of y = (sin x)/(x).

    Text Solution

    |