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If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2...

If `sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))++sqrt(1+1/((1999)^2)+1/(2000)^2)+=1/x ,`Find x

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d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these

If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y) , prove that (dy)/(dx)= sqrt((1-y^2)/(1-x^2))

If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y), prove that (dy)/(dx)=sqrt((1-y^2)/(1-x^2))

If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y) , prove that (dy)/(dx)= sqrt((1-y^2)/(1-x^2))

tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))

y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))

If sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2)))

If sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2)))

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If cos x=- (1)/(3) and x lies in Quadrant III find the values ...

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  2. If int (x^9+x^6+x^3)(2x^6+3x^3+6)^(1/3) dx=1/a(2x^9+3x^6+6x^3)^(4/3)+c...

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  3. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

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  4. Let f(x),xgeq0, be a non-negative continuous function. If f^(prime)(x)...

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

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

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

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

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

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

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

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

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  13. Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...

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  14. int((e^x(2-x^2))/((1-x)sqrt(1-x^2))\ dx) is equal to

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

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  16. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

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  17. If in a geometric progression consisting of positive terms, each term ...

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

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

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  20. The function f(x)=(4sin^2x-1)^n(x^2-x+1),n in N , has a local minimum...

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