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Number of ordered pairs (a,b) for which `sin^(-1)(1+b+b^2+..oo)+cos^(-1)(a-a^2/3+a^4/9+..oo)=pi/2` is (A) 0 (B) 4 (C) 9 (D) Infinite

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RESONANCE DPP-JEE MAINS-All Questions
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  2. The quadratic equation x^2-9x+3=0 has roots alphaa n dbetadot If x^2-b...

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  3. Number of ordered pairs (a,b) for which sin^(-1)(1+b+b^2+..oo)+cos^(-1...

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  4. Make the following expressions free from modulus sign: (x in R) |2x-...

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  5. If m ,n in Na n dm^2-n^2=13 ,t h e n(m+1)(n+1) is equal to a. 42 b. 5...

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  6. Make the following expressions free from modulus sign: (x in R) |x+1...

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  7. The chance that the vowels are separated in an arrangement of the l...

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  8. The difference of the squares of two consecutive odd integers is di...

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  9. Evaluate/simplify the following: |2 3-3 4|

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  10. Make the following expressions free from modulus sign: (x in R) |x^2...

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  11. Identify the correct statement If a ,b ,c are odd integers (a) a+b+c c...

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  12. If relation R is defined as R={((x+1)/2,(x-1)/2): w h e r ex in Wa n...

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  13. Make the following expressions free from modulus sign : (x in R) (...

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  14. If m^2-n^2= 7, where m, n epsilon Z, then number of ordered pairs (m,...

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  15. Number of values of k for which the lines k x+y+1=0 x+k y+2=0 x+y...

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  16. Make the following expressions free from modulus sign: (x in R) |x^3...

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  17. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

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  18. (log)(0. 3)(x-1)<(log)(0. 09)(x-1)t h e nx in the lies in the inte...

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  19. The number 3. 145 when expressed as a rational number in lowest form...

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  20. Make the following expressions free from modulus sign : (i) |x^(2) -...

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