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Statement 1: tan^(-1)((3)/(4))+tan^(-1)(...

Statement 1: `tan^(-1)((3)/(4))+tan^(-1)((1)/(7))=(pi)/(4)`
Statement 2: For `x gt 0, Y gt 0`
`tan^(-1)((x)/(y))+tan^(-1)((y-x)/(y+x))=(pi)/(4)`

A

Statement-1 is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
A
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VMC MODULES ENGLISH-INVERSE TRIGONOMETRY-LEVEL-2
  1. If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 and f(1)=2. f(p+q)=f(p). f(q)AAp,q...

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  2. If the mapping f(x) = mx + c, m gt 0 maps [-1,1] onto [0,2], then t...

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  3. Statement 1: tan^(-1)((3)/(4))+tan^(-1)((1)/(7))=(pi)/(4) Statement ...

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  4. Statement 1: The value of cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+...+cot...

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  5. Statement 1: If x=(1)/(5 sqrt(2)), then [x cos(cot^(-1)x)+sin(cot^(-1)...

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  6. The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x ...

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  7. The sum of the series to infinity cot^(-1)(2^(2)+(1)/(2))+cot^(-1)(2^...

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  8. If lim(n to oo) sum(k=2)^(n)cos^(-1)((1+sqrt((k-1)(k+2)(k+1)k))/(k(k+...

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  9. Number of solutions of the equation tan^(-1)((1)/(a-1))=tan^(-1)((1)/...

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  10. The sum of the infinite series cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+co...

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  11. The set of values of 'a' for which x^(2) + ax + sin^(-1)(x^(2) -4x + 5...

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  12. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is decreasin...

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  13. about to only mathematics

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  14. If x(1), x(2) , x(3) , x(4) are the roots of the equation x^(4) - x...

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  15. If a(1), a(2), a(3),...., a(n) is an A.P. with common difference d, th...

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  16. about to only mathematics

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  17. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

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  18. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

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  19. It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=...

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  20. It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=...

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