#### 1. What is the maximum rank of 3*3 matrix?

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#### 2.The general solution of xlogx dy/dx + y = 2 logx is

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#### 3. If sinB = 1/5 sin(2A+B) then tan(A+B)/tanA = ?

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#### 4. If x = sin3A+cos3A , y = sinA+cosA then dy/dx at A = 45 is ?

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#### 5. The sum of two positive numbers is 48. the number sum of their square is minimum is ?

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#### 6. If tanA = 1/2 then cos2A = ?

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#### 7. If ( a+b+c) (b+c-a) = 3bc then angle A is ?

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#### 8. The focus of parabola when ends of latus rectum is (3,6) (-5,6) ?

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#### 9. A man of height 6 ft is running away from base of street light that is 15 ft ht. If he moves at rate of 18 ft/sec, the rate of change in his shadow is in ft/sec ?

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#### 10. The equation of tangent to curve y(x+1) = 4 at x = 2 is ?

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#### 11. cos 20 cos 30 cos 40 cos 80 is ?

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#### 12. The volume generated by revolving one arch of curve y = sin2x about x-axis is ?

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#### 13. If the rate of change in area of circle is equal to change in radius then radius is ?

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#### 14. The solution of dy/dx + y tanx = secx is ?

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#### 15. If A+C = 2B then, cosC-cosA/sinA-sinC = ?

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#### 16. A square root of 3+4i ?

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#### 17. If tanA = 1/2 and tanB = 1/3 then A+B = ?

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#### 18. Which function is periodic ?

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#### 19. If y = sec x + tan x then dy/dx ?

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#### 20. The inverse laplace transform of 1/2s-5 ?

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#### 21. Which statement is true?

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#### 22. For the system of equation x+2y+3z = 6, 2x+y+2z = 5, 3x+3y+5z = 12

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#### 23. sin 21 cos 9 - cos 84 cos 6 ?

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#### 24. The solution of differential equation x dy/dx + y = 0 is ?

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#### 25. The anti-derivative of periodic function is always ?

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#### 26. The area bounded by y = x(2-x) and y = -x is ?

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#### 27. The complex equation | z+1-i | = | z+i-1| represents a

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#### 28. The particular value of 1/D cosx is ?

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#### 29. The equation of parabola with focus ( 3,0 ) and directrix x+3 = 0 is ?

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#### 30. cos12 + cos84 + cos132 + cos156 ?

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Wrong!