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If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then ...

If `y=(sin^(-1)x)^2+(cos^(-1)x)^2` , then `(1-x^2)` `(d^2y)/(dx^2)-x(dy)/(dx)` is equal to 4 (b) 3 (c) 1 (d) 0

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RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x)=f(x1+x2) (b)f(x+...

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  2. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

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  3. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

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  4. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

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  5. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

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  6. If x^m y^n=(x+y)^(m+n), then (dy)/(dx) is (x+y)/(x y) (b) x y (c) x/...

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  7. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

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  8. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

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  9. STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1)...

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  10. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

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  11. |x-1|+|x-2|+|x-3|geq6

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  12. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

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  13. The graph of y = f(x) is given below then the graph of y = If((xl)l is...

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  14. If (lim)(xvecoo)(2+(f(x))/(x^2))^(1/x)=e and f(x)=a0+a1x+a2x^3+ , then

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  15. The matrix A has x rows and (x+5) column. If the matrix B has y rows a...

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  16. If y=xln((a x)^(-1)+a^(-1)) prove that x(x+1)(d^2y)/(dx^2)+(dy)/(dx)=y...

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  17. If the solution of the equation |(x^4-9)-(x^2+3)|=|x^4-9|-|x^2+3| is ...

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  18. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

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  19. Consider the matrices A=[4 6-1 3 0 2 1-2 5],B=[2 4 0 1-1 2],C=[3 1 2]...

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  20. The solution set of the equation, (x+1)log3 2x+4x(log)3x-16=0 is an ...

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