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Find the number of positive integral sol...

Find the number of positive integral solutions of `tan^-1 x + cot^-1 y = tan^-1 3`.

A

one

B

two

C

three

D

four

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  3. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

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  6. Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...

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  12. If alpha is the only real root of the equation x^(3) + bx^(2) + cx + 1...

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  13. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

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  14. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

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  15. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

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  16. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  17. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

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  18. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

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  19. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

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  20. The equation e^(sin^(-1)x)/pi=y/(log y) has

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