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Let f(x) is a continuous function symme...

Let `f(x)` is a continuous function symmetric about the lines `x=1a n dx=2.` If `int_0^(2)f(x)dx=3` and `int_0^(50)f(x)=I ,` then `[sqrt(I)]` is equal to (where [.] is G.I.F.) (a)`5` (b) `8` (c) `7` (d) ` 6`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. If tan25^(@)=a, then the value of (tan205^(@)-tan115^(@))/(tan245^(@)+...

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  3. Let f(x) is a continuous function symmetric about the lines x=1a n dx...

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  4. If cos x=- (1)/(3) and x lies in Quadrant III find the values ...

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  5. 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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  6. 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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  7. Let f(x),xgeq0, be a non-negative continuous function. If f^(prime)(x)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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