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Solve the following equations : (i) |x...

Solve the following equations :
(i) `|x-2| = sqrt(x-4)` , (ii) `(|x-2|)/(x-1) = 1/(x-1)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. If the sum sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3...

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  2. Draw the region bounded by x^2 + y^2 >1 and x^2/1+y^2/4 le 1

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  3. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

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  4. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

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  5. Let inte^x{f(x)-f^(prime)(x)}dx=varphi(x)dot Then inte^xf(x)dx is v...

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  6. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

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  7. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ s ...

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  8. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

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  9. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

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  10. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

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  11. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

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  12. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

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  13. Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2xdxa n df(x) passes through th...

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  14. In a geometric progression consisting of positive terms, each term ...

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  15. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  16. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

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  17. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

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  18. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

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  19. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

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  20. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

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