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The area (in sq. units) bounded by y=2^(...

The area (in sq. units) bounded by `y=2^(x) and y=2x-x^(2)` from x = 1 to x = 2 is `k log_(2)e-l`, then the value of `|(k)/(l)|` is equal to

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NTA MOCK TESTS-NTA JEE MOCK TEST 59-MATHEMATICS
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  2. If the standard deviation of n observation x(1), x(2),…….,x(n) is 5 an...

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  3. The domain of the function f(x)=log(2)[1-log(12)(x^(2)-5x+16)] is

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  4. The lenth of the portion of the common tangent to x^(2)+y^(2)=16 and 9...

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  5. The equation of the curve lying in the first quadrant, such that the p...

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  6. sum(r=1)^(n)=(r )/(r^(4)+r^(2)+1) is equal to

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  7. If the integral I=inte^(x^(2))x^(3)dx=e^(x^(2))f(x)+c, where c is the ...

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  8. The points on the curve y=x^(2) which are closest to the point P(0, 1)...

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  9. Let DeltaOAB be an equilateral triangle with side length unity (O bein...

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  10. If A and B are two independent events such that P(A) gt (1)/(2), P(A n...

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  11. If A, B and C are square matrices of order 3 and |A|=2, |B|=3 and |C|=...

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  12. Sigma(r=0)^(n)(n-r)(.^(n)C(r))^(2) is equal to

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  13. For a complex number z, the equation z^(2)+(p+iq)z r+" is "=0 has a re...

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  14. The length of the normal chord which subtends an angle of 90^(@) at th...

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  15. Let f(x)={{:((2^((1)/(x))-1)/(2^((1)/(x))+1),":",xne0),(0,":,x=0):}, t...

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  16. If the total number of positive integral solution of 15ltx(1)+x(2)+x(3...

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  17. If 3tan^(-1)((1)/(2+sqrt3))-tan^(-1).(1)/(3)=tan^(-1).(1)/(x), then th...

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  18. If the straight lines x+2y=3, 2x+3y=5 and k^(2)x+ky=-1 represent a tri...

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  19. Two lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z)/(1...

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  20. The area (in sq. units) bounded by y=2^(x) and y=2x-x^(2) from x = 1 t...

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