Home
Class 12
MATHS
IF (1+k) tan ^2 x-4 tan x -1 + k=0...

IF ` (1+k) tan ^2 x-4 tan x -1 + k=0` has real roots `tan x_1` and `tanx_2` then

A

`K^2 le5`

B

`k^2 ge 6`

C

`k=3`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If -1 +i is a root of x^4 + 4x^3 + 5x^2 + k=0 then its real roots are

int (1 + tan^(2) x)/(1 -tan^(2) x) dx =

tan 4x = (4 tan x (1- tan ^(2) x ))/( 1 - 6 tan ^(2) x + tan ^(4) x)

If int (sec^(2) x)/(3 + 4 tan x) dx = K log | 3 + 4 tan x | + C then 1/K =

tan|x|=|tanx| if x in (k in Z)

(1 + tan h(x//2))/(1-tan h(x//2))=

If int(cos 4x + 1)/(cot x - tan x)dx = k cos 4x + c , then k is

If int (1)/( 2 + sin^(2) x ) dx = k. tan^(-1) ( l tan x ) + C then (k, l ) =

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF the roots of ax^2+bx +c=0 are equal in magnitude but opposit...

    Text Solution

    |

  2. if P , q, r are positive and are in A.P the roots of the quadrativ...

    Text Solution

    |

  3. IF (1+k) tan ^2 x-4 tan x -1 + k=0 has real roots tan x1 and ...

    Text Solution

    |

  4. IF 0 < a<b<c and the roots alpha , beta of the equation ax ...

    Text Solution

    |

  5. if 0 < a < b> 0 nad c > 0 then both the roots of the equation 2...

    Text Solution

    |

  6. IF p,q,in { 1,2,3.4} the number of equation of the form px^2 +q...

    Text Solution

    |

  7. If the equation x^2 -2mx+7m-12 =0 has equal roots then m=

    Text Solution

    |

  8. IF the roots of (3m +1) x^2 +2(m+1) x+m =0 are equal then m=

    Text Solution

    |

  9. IF the roots of x^2-2(5 + 2k ) x+ 3 (7+10k) are equal then ...

    Text Solution

    |

  10. If the quadratic expression x^2 -(a-1) x+ (a+ (1)/(4) ) will be...

    Text Solution

    |

  11. IF (x-a)(x-b) +(x-b) (x-c) +(x-a)(x-c) =0 has equal roots then ...

    Text Solution

    |

  12. If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac...

    Text Solution

    |

  13. The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are

    Text Solution

    |

  14. The roots of the equation a ( b-c) x^2 -b(c-a) x+c(a-b)=0 are

    Text Solution

    |

  15. If p(q-r) x^2 +q(r-p) x+r(p-q) =0 has equal roots then 2/q =

    Text Solution

    |

  16. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

    Text Solution

    |

  17. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

    Text Solution

    |

  18. If the roots of (a^2+b^2 ) x^2 -2b(a+c)x+(b^2 +c^2 ) =0 are equal...

    Text Solution

    |

  19. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  20. IF alpha , beta are the roots of the equation ax^2 + bx +c=0 ...

    Text Solution

    |