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Find the sum of the series (2^2-1)(6^2-1...

Find the sum of the series `(2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)(104^2-1)`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

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  2. If x1,x2,x3 as well as y1,y2,y3 are in G P with the same common ratio,...

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  3. Find the sum of the series (2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)...

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  4. The solution set of inequation |x^(2)-2x|+|x-4|gt|x^(2)-3x+4| is a sub...

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  5. Find the sum of infinite terms of the series : 3/(2*4)+5/(2*4*6)+7/(2*...

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  6. If sum(n=1)^oocot^(-1)((n^2)/2)=a/bpi where a/b is rational number in...

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  7. If the two roots of the equation (lambda-2)(x^2+x+1)^2-(lambda+2)(x^4+...

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  8. The solution set satisfyin the inequality, (sqrt(21-4a-a^(2)))/(a+1) l...

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  9. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

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  10. If the sum of all values of y satisfying the equation e^y([x]-2)=[x]-1...

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  11. Draw the graph of the function: f(x)=||x2|-3|

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  12. Consider a circle C : x^2+y^2-8y+12=0 and an ellipse E :(x^2)/(a^2)+(y...

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  13. A golf ball is dropped from a height of 80 m. Each time the ball hi...

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  14. The value of (lim)(nvecoo)((sin{2/n})/([2nt a n1/n](t a n1/n))+1/(n^2...

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  15. Parabola, P1 has focus at S(2,2) and y-axis is its directrix. Parabola...

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  16. If abcd = 1, where a,b,c and d are positive real numbers, then find th...

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  17. A circle is drawn to pass through the extremities of the latus rectum ...

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  18. Let P(x)=4x 62+6x+7a n dQ(y)=4y^2-12 y+9. If P(x)dotQ(y)=95 , then the...

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  19. If the roots of the equation x^2+2c x+a b=0 are real unequal, prove th...

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  20. Let AB is the focal chord of a parabola and D and C be the foot of the...

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