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

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

equilateral

B

isosceles

C

right angled

D

obtuse anguled

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Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. Solve the following system of inequalities graphically 2x + 4y le 8 , ...

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  2. In a delta ABC, a,c, A are given and b(1) , b(2) are two values of thi...

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

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  4. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

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  5. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

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  6. Find the second order derivative of the function x^3 + 4x^2 +2

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  7. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

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  8. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

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  9. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

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  10. Differentiate the following function w.r.t x sin^3x+cos^6x

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  11. If tangents PA and PB from a point to a circle with centre O are incli...

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  12. Differentiate the following w.r.t x (3x^2-9x+5)^9

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  13. In a triangle a = sqrt5,b = 2, /A=pi/6 and the two possible values of...

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  14. If R(1) is the circumradius of the pedal triangle of a given triangle ...

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  15. If in a triangle (1-(r(1))/(r (2)))(1-(r(1))/(r (3)))=2. then show tha...

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  16. If the median AD of a triangle ABC makes an angle theta with side, AB,...

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  17. Differentiate the following w.r.t x (sinx-cosx)^(sinx-cosx)

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  18. In a Delta ABC, (a+b+c) (b+c-a)=lamdabc, if

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  19. In the DeltaABC, if (a ^(2) +b^(2))sin (A-B) =(a^(2) -b^(2)) sin (A+B...

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  20. Differentiate the following w.r.t x (5x)^(3cos2x)

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