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If the mapping f(x) = mx + c, m gt 0 m...

If the mapping `f(x) = mx + c, m gt 0 ` maps `[-1,1]` onto `[0,2]`, then `tan ( tan^(-1). 1/7 + cot ^(-1) 8 + cot ^(-1) 18)` is equal to

A

1

B

2

C

3

D

4

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The correct Answer is:
B
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VMC MODULES ENGLISH-INVERSE TRIGONOMETRY-LEVEL-2
  1. The sum of the infinite terms of the series "tan"^(-1)((1)/(3))+ "tan...

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

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

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

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

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

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

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

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

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

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

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  14. about to only mathematics

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

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

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  17. about to only mathematics

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

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

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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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