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"If "xsqrt(1+y)+ysqrt(1+x)=0," prove tha...

`"If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx is equal to

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  2. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

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  3. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

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  4. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

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  5. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

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  6. If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on Y-axis , ...

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  7. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

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  8. For the equation, 3x^2+p x+3=0,p >0, if one of the roots is square of...

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  9. Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g...

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  10. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

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  11. If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequalit...

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  12. If graph of y= f(x) is as shown in figure, then which of the following...

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  13. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

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  14. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

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  15. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

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  16. The graphs of y= sin x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

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  17. The values of lambda for which the function f(x)=lambdax^3-2lambdax^2...

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  18. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

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  19. Number of solutions of the equation, cot^(-1)(x^2+1)=sin^(-1)|x| (a)...

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  20. If the difference of the roots of the equation, x^2+p x+q=0 be unity,...

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