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The value of sin^(-1){cot(sin^(-1)sqrt(...

The value of `sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12))/4+sec^(-1)sqrt(2))}` is equal to `pi/4` (b) `pi/2` (c) 0 (d) `-pi/2`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Angles A ,Ba n d C ofa triangle A B C in A.P. with the usual notations...

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  2. If (x1, y1) be the centroid of the triangle formed by a line L and c...

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  3. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

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  4. Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=...

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  5. The greatest integral value of m for which the point of intersection...

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  6. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

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  7. if lim(h->0) [f(a-h)/f(a)]=c where f(x) is a continuous function s...

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  8. If the graph of non-constant function is symmetric about the point (3,...

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  9. Arrange the expansion of (x^(1//2) + (1)/(2x^(1//4))) in decreasing ...

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  10. The value of (.^7C0 +.^7C1)+(.^7C1+.^7C2)+(.^7C6+.^7C7) is (A) 2^7-1...

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  11. If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y)

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  12. If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy ...

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  13. For the equation 40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x (A)...

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  14. Two cards are drawn one after another from a pack of 52 ordinary cards...

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  15. Consider the trigonometric equation 1/( cot^6 x + 2 sqrt2 | cos^3 x|)...

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  16. If G is the centroid and O is the circumcentre of the triangle with ve...

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  17. Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)...

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  18. Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n...

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  19. If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x...

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  20. A circle passes through the points A(1,0)a n dB(5,0), and touches the...

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