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The solution of (dy)/(dx)+sqrt((1-y^2)/(...

The solution of `(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0` is (A) `tan^-1 x+cot^1-x=c` (B) `sin^-1x+sin^-1y+c ` (C) `sec^-1 x+cosec^-1 x=c ` (D) none of these

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The solution of (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0 is (A) tan^(-1)x+cot^(1)-x=c(B)sin^(-1)x+sin^(-1)y+c(C)sec^(-1)x+cos ec^(-1)x=c(D) none of these

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int1/(cos^6x+sin^6x)dx is equal to (A) tan^-1(tanx-cotx)+c (B) sin^-1(sin2x)+c (C) tan^-1(tanx+cotx)+c (D) cot^-1(tanx+cotx)+c

sqrt(1-y^(2))dx-sqrt(1-x^(2))dy=0 A) sin^(-1)x-cos^(-1)y=c B) sin^(-1)x-sin^(-1)y=c C) log(x+sqrt(1-x^(2)))=log(y+sqrt(1-y^(2)))+c D) x-y=c(1+xy)

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

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The value of int((1+logx))/sqrt((x^x)^2-1)dx is (A) sec^-1(x^x)+c (B) tan^-1(x^x)+c (C) log(x+sqrt((x^x)^2-1))+c (D) none of these

sin^-1(-x) = -sin^-1(x); cos^-1(-x) = pi - cos^-1(x); tan^-1(-x) = -tan^-1(x); cot^-1(-x) = pi - cot^-1(x); sec^-1(-x) = pi - sec^-1(x); cosec^-1(-x) = -cosec^-1(X)

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