Mathematics (A) (B) (C) (D) 2. In with usual notations, if a,b,c are in A.P. then (A) (B) (C) (D) 3. If then at is (A) (B) (C) (D)

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1 / MHT CET 2018 / Mathematics / Code 44 / QP Mathematics Single Correct Questions In with usual notations, if a,b,c are in A.P. then 3. If then at is 4. The number of solutions of in the interval is 1

2 / MHT CET 2018 / Mathematics / Code 44 / QP 5. If then 6. Matrix then the value of is 7. The contrapositive of the statement : "If the weather is fine then my friends will come and we go for a picnic." The weather is fine but my friends will not come or we do not go for a picnic. If my friends do not come or we do not go for picnic then weather will not be fine. If the weather is not fine then my friends will not come or we do not go for a picnic. The weather is not fine but my friends will come and we go for a picnic. 8. If is increasing function on then the value of lies in 9. If and then 2

3 / MHT CET 2018 / Mathematics / Code 44 / QP 10. The statement pattern is a tautology a contradiction equivalent to equivalent to 11. If, then the value of is 12. The cartesian co ordinates of the point on the parabola, whose parameter is are 13. 3

4 / MHT CET 2018 / Mathematics / Code 44 / QP 14. If then 15. If is a function defined by then range is 16. If planes and include angle then the value of is 17. The order of the differential equation of all parabolas, whose latus rectum is and axis parallel to the axis, is One Four Three Two 4

5 / MHT CET 2018 / Mathematics / Code 44 / QP 18. If lines and intersect the the value of is 19. If a line makes angles and with the positive directions of axes respectively then the angle made by the line with positive axis is 20. and are two points with position vectors and respectively. The position vector of the point N which divides the line segment LM in the ratio externally is If planes pass through a straight line then 5

6 / MHT CET 2018 / Mathematics / Code 44 / QP 23. The point of intersection of lines represented by is 24. A die is rolled. If denotes the number of positive divisors of the outcome then the range of the random variable is 25. A die is thrown four times. The probability of getting perfect square in at least one throw is 26. If the line touches to the curve at the point then 27. The sides of a rectangle are given by and Then equation of the circle passing through the vertices of the rectangle is 6

7 / MHT CET 2018 / Mathematics / Code 44 / QP 28. The minimum value of the function is 29. If with then 30. The general solution of differential equation is 31. Letters in the word are rearranged. The probability of all three L being together is 7

8 / MHT CET 2018 / Mathematics / Code 44 / QP 32. The sum of the first terms of the series is 33. If are the angle of then 34. If then If are mutually perpendicular vectors having magnitude respectively, then 8

9 37. If points and are collinear, then the value of is 38. If the slope of one of the lines given by is two times the other then / MHT CET 2018 / Mathematics / Code 44 / QP 39. The equation of the line passing through the point ( 3,1) and bisecting the angle between co ordinate axes is 40. The negation of the statement : "Getting above marks is necessary condition for Hema to get the admission in good college". Hema gets above marks but she does not get the admission condition for Hema to get the admission in good college." Hema does not get above marks and she gets admission in good college If Hema does not get above marks then she will not get the admission in good college. Hema does not get above marks or she gets the admission in good college. 41. If for for is continuous at and then is 9

10 / MHT CET 2018 / Mathematics / Code 44 / QP 42. If then 43. The line coincides with one of the lines given by then the value of is 44. If then 45. The equation of line passing through and perpendicular to the lines and is 10

11 / MHT CET 2018 / Mathematics / Code 44 / QP 46. A coin is tossed three times. If denotes the absolute difference between the number of heads and the number of tails then 47. If then 48. The area of the region bounded by and the y axis lying in the first quadrant is square units. 49. If for is continuous at then value of is 11

12 / MHT CET 2018 / Mathematics / Code 44 / QP 50. The maximum value of subject to and is 12

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