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Statement 1: If x ,y ,z are the sides of...

Statement 1: If `x ,y ,z` are the sides of a triangle such that `x+y+z=1,t h e n((2x-1+2y-1+2z-1)/3)geq((2x-1)(2y-1)(2z-1))^(1//3)dot` Statement 2: For positive numbers `AdotMdotgeqGdotMdotgeqHdotMdot`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. If the value of definite integral int(1)^(a)x.a^([log(a)x])d x, wher...

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  3. Statement 1: If x ,y ,z are the sides of a triangle such that x+y+z=1,...

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  4. L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dx and K=int(-2)^(-1)(6-6x+x^2) t...

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  5. Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)++(n^4)/((2n-1)(2n+...

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  6. Let C be a curve passing through M(2,2) such that the slope of the tan...

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  7. The equation of the curve is y-f(x). The tangents at [1,f(1)[,[2,f(2)]...

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  8. if sin x +sin^2 x = 1 then cos^12 x+ 3 cos^10 x + 3 cos^8 x + cos ^6 ...

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  9. The value of 2^(2010)(int0 1x^(1004)(1-x)^(1004)dx)/(int0 1x^(1004)(1...

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  10. if (x-a)(x-5)+2=0 has only integral roots where a in I , then value o...

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  11. Let f be a differentiable function satisfying the condition f ((x)/(y)...

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  12. A point z moves on the curve |z-4-3i| =2 in an argand plane. The maxim...

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  13. If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx...

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  14. If f(x) is a continuous function AAx in R , then which of the followi...

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  15. Statement 1: If|x+3|+5=|x+8|t h e nxgeq-3 Statement 2: |a|+|b|=|a+b...

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  16. Let In=int- 1^1|x|(1+x+(x^2)/2+(x^3)/3+.....+(x^(2n))/(2n))dx where ...

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  17. If sintheta=5sin(theta+varphi),t h e ntan(theta+varphi)= (sinvarphi)/...

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  18. If the range of the integral I=int0^(1/2)(dx)/(sqrt(1-x^(2n))) for nge...

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  19. Three friends whose ages form a G.P. divide a certain sum of money in ...

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  20. A straight line moves such that the algebraic sum of the perpendicular...

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