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If `"sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^4 +4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)`

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2020-PREVIOUS YEAR QUESTION
  1. The area between x=y^(2) and x=4 is divided into two equal parts by th...

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  2. Solve the following differential equation:- x(dy)/(dx) + y = y^2 lnx

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  3. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

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  4. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

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  5. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

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  6. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

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  7. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  8. Prove that the measure of the angle between two main diagonals of a cu...

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  9. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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  10. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  11. The probability of a shooter hitting a target is (3)/(4) Find the mini...

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  12. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

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  13. Show that the semivertical angle of a cone of given slant height is ta...

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  14. If y=x^(sinx)+x^3 (sqrt(x^2+4))/(sqrt(x^3+3)) find (dy)/(dx).

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  15. Evaluate : int(x^5+x^4+x^3+x^2+4x+1)/(x^2+1) dx

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  16. Find the solution of the following differential equations: (4x+6y+5)dx...

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  17. Find the area of the smaller region bounded by the ellipse (x^(2))/(9)...

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  18. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

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  19. Solve the following LPP graphically Optimize Z=5x1+25x2 subject to -0....

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  20. If "sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^...

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