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The number of roots of the equation, x-2...

The number of roots of the equation, `x-2/(x-1)=1-2/(x-1)` is 0 (b) 1 (c) 2 (d) 3

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RESONANCE DPP-JEE MAINS-All Questions
  1. Draw the graph of the function: f(x)=||x-2|-3|

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  2. The coefficient of x^(n) in the expansion of (1-9 x + 20 x^(2))^(-1...

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  3. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

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  4. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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  5. Value of (2sin9^(@)sin 21^(@)sin 39^(@)sin 51^(@)cos21^(@)sin 81^(@))/...

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  6. Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Find the total number of divi...

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  7. Complete solution of inequality ||3x-9|+2|>2 is (-oo,oo) (b) {3} (...

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  8. Draw the graphs of y=x+x/(|x|)

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  9. If the sum of n terms of an A.P. is c n(n-1) where c!=0, then the sum ...

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  10. Suba Rao started work in 1995 at an annual salary of Rs. 5000 and rece...

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  11. lim(n->oo) sum(n=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1)) is equal to

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  12. Consider an A.P. a1, a2, an , and the G.P. b1,b2, ,bn , such that a...

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  13. If f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in (0,pi/4) is invertible, where...

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  14. If (cosA)/(cosB)=p,(sinA)/(sinB)=q,then show that (p^(2)(1-q^(2)))/(p^...

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  15. sum(k=0)^10 Ck=2^(19)+1/2^(20)C10 Prove that10= 219 +-120C10k=0

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  16. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

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  17. If Sn, denotes the sum of n terms of an AP, then the value of (S(2n)-...

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  18. If a x^2+b x=6=0 does not have distinct real roots, then find the leas...

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  19. Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {...

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  20. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

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