Home
Class 12
MATHS
In a triangle ABC if cot A=(x^3+x^2+x)^(...

In a triangle ABC if `cot A=(x^3+x^2+x)^(1//2), cot B=(x+x^-1+1)^(1//2)` and `cot C=(x^-3+x^-2+x^-1)^(-1//2)` then the triangle is

A

isosceles

B

obtuse angled

C

right angled

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|111 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos

  • PROPERTIES OF TRIANGLES

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

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • QUADRATIC EXPRESSIONS

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

Similar Questions

Explore conceptually related problems

If Cosec^(-1)x=2Cot^(-1)7+Cos^(-1)(3//5) then the value of x is

int_(0)^(1) cot^(-1) (1-x+x^(2))dx=

If cot(x//2) - cosec (x //2) = cot x then x =

Find the derivative of [cot^(-1) (x^3)]^2

(1)/(tan 3x- tanx)-(1)/( cot 3 x- cot x)=

In a triangle ABC, if cot""A/2 cot""B/2=c, cot""B/2 cot""C/2=a and cot""C/2 cot""A/2=b , then 1/(s-a)+1/(s-b)+1/(s-c)=

In Delta ABC r_1 cot "" (A)/(2) + r_2 cot "" (B)/(2) + r_3 cot "" ( C )/(2) =

f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

If cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x) then x=

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then a:b:c=

    Text Solution

    |

  2. In Delta ABC, if sin A cos B=1//4 and 3 tan A=tan B, the triangle is r...

    Text Solution

    |

  3. In a triangle ABC if cot A=(x^3+x^2+x)^(1//2), cot B=(x+x^-1+1)^(1//2)...

    Text Solution

    |

  4. The radius of the circumcircle of an isosceles triangle PQR is equal t...

    Text Solution

    |

  5. The perimeter of a Delta ABC is 6 times the A.M. of the sines of its a...

    Text Solution

    |

  6. If sin A= sin^2 B and 2 cos^2 A=3 cos^2 B, then the Delta ABC is

    Text Solution

    |

  7. In Delta ABC, if (sin A+sin B+sin C) (sin A+ sin B- sin C)=3 sin A sin...

    Text Solution

    |

  8. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

    Text Solution

    |

  9. IF ABC is the triangle then one root of x^2-2bx cos A+b^2-a^2=0 is

    Text Solution

    |

  10. In Delta ABC sum(sin^2A+sinA+1)/(sinA) is always greater than

    Text Solution

    |

  11. In DeltaABCprod((sin^2A+sinA+1)/(sinA)) is always greater than

    Text Solution

    |

  12. If A, B,C are angles of a acute angled triangle then the least value o...

    Text Solution

    |

  13. In a right angled Delta ABC, sin^2 A+ sin^2 B+sin^2 C=

    Text Solution

    |

  14. IF twice the square of the radius of a circle is equal to half the sum...

    Text Solution

    |

  15. In a triangle ABC,if a is the arithemetic mean and b,c (b ne c)are the...

    Text Solution

    |

  16. Points D,E are taken on the side BC of a triangle ABC, such that BD=DE...

    Text Solution

    |

  17. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

    Text Solution

    |

  18. If the area of an isosceles triangle is sqrt2+1are vertical angle is 4...

    Text Solution

    |

  19. IF A,B,C are angles of a triangle, then the minimum value of tan^2""A/...

    Text Solution

    |

  20. In Delta ABC, sum a (sin B-sin C)=

    Text Solution

    |