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If "tan"^(-1)x+"tan"^(-1)y=pi/4,xylt1, ...

If `"tan"^(-1)x+"tan"^(-1)y=pi/4,xylt1`,
then write the value of `x+y+xy`.

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SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
  1. Write the smallest reflexive relation on set {1, 2, 3, 4}.

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  2. If "tan"^(-1)x+"tan"^(-1)y=pi/4,xylt1, then write the value of x+y+x...

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  3. What is the value of : |[4,a,b+c ],[4,b,c+a],[4,c,a+b]|

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  4. If [[x + y, x-y],[2x - z, 0]] = [[5,3],[8,0]] find the value of x, y, ...

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  5. Write the value of (dy)/dx if y=sinx+sqrt(sinx+sqrt(sinx+sqrt(sinx+......

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  6. What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasi...

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  7. Evaluate : int2^4 x/(x^2 + 1) dx.

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  8. Find the differential equation whose solution is y = a cos 2x + b sin ...

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  9. Find the value of p for which the vectors 3hat(i) + 2hat(j) + 9hat(k) ...

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  10. Write the vector equation ofthe line given by (x - 5)/3 = (y + 4)/7 = ...

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  11. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

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  12. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

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  13. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  14. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

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  15. Using elementary operation find the inverse of [(2,3),(5,7)]

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  16. Construct a 2 xx 3 matrix whose element are given by a(ij) = i + j.

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  17. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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  18. Find the value of k, so that the function defined by f(x)={(kx+1", if...

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  19. Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at ...

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  20. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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