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Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, th...

Let `f(x)=int_(1)^(x) sqrt(2-t^(2)) dt`, then the real roots of the equation `x^(2) -f'(x) =0` are

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The interval [a ,b] such that the value of inta^b(2+x-x^2)dx is maxi...

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  2. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

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  3. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

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  4. Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...

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  5. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  8. How many numbers divisible by 5 and lying between 4000 and 5000 can be...

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  9. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

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  10. The tangent at the point P on the rectangular hyperbola x y=k^2 with C...

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  11. The value of (int0^(pi//2)(sin x)^(sqrt(2)+1)dx)/(int0^(pi//2)(sin x)^...

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  12. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

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  13. If I(n)=int(0)^(pi//4) tan^(n)x dx, (ngt1 is an integer ), then (a) I(...

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  14. The omega!= 1 is nth root unity, then value of sum(k=0)^(n-1)|z1+omega...

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  17. P and Q have position vectors a and b relative to the origin O and X,Y...

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  18. If z1=10+6iandz2=4+2i be two complex numbers and z be a complex number...

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  19. If vec a and vec b are non-zero and non-collinear vectors, then ve...

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