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Mathematics Fill in the blanks. β3 1. If π΄ = [ 5 a. 13 β2 ], the |π΄| = β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦.. 1 b. -13 c. -7 d. 7 d. {-3} 2. The solution of set of π₯ 2 β 3π₯ = 0 is β¦β¦β¦β¦β¦β¦β¦ a. {3} b. {1 , 3} c. {0 , 3} 3. A line segment having both end points on circle and not passing through the center is called β¦β¦β¦β¦β¦β¦β¦. a. Chord b. Secant c. Diameter d. None of these sec 30° c. cosec 60° d. cos 60° 4. sin 30° = β¦β¦β¦β¦β¦β¦β¦β¦ a. π‘ππ 30° b. 5. An equation having two roots is called β¦β¦β¦β¦β¦β¦. a. Linear b. Cubic c. Quadratic d. None of these 6. How many points determine a plane? a. 1 b. 2 c. 3 d. None of these 7. If standard deviation of a series is 9, then its variance is β¦β¦β¦β¦β¦β¦β¦β¦ a. 81 b. 3 c. 18 d. None of these 2 2 8. The degree of polynomial π₯ π¦ β 7π₯π¦ + 100 is β¦β¦β¦β¦β¦β¦β¦. a. Two b. Three c. Four d. Five 9. Difference between the largest and smallest value of a given data is called β¦β¦β¦β¦β¦ a. Range b. Median c. Mode d. Mean deviation 10. cot 20° = tan β¦ β¦ β¦ β¦ . . a. 40° b. 60o c. 70o d. 90o 11. If set A has 7 elements and set B has 3 elements, then the number of order pairs in A x B =β¦β¦β¦β¦β¦β¦β¦β¦.. a. 10 b. 20 c. 21 d. 22 12. The solution set of π₯(π₯ β 5) = 0 is β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦ a. {0,5} b. {-5, 0} c. {0} d. {5} 13. If 13 βΆ 4 = π₯ βΆ 8, π‘βππ π₯ = β¦β¦β¦β¦β¦β¦β¦.. a. 52 b. 26 c. 32 d. 104 14. Line segment joining any point of a circle to its centre is called β¦β¦β¦β¦β¦β¦.. a. Diameter b. Arc c. Chord d. Radial segment 2 15. Sec π = 1 + β¦β¦β¦β¦β¦β¦β¦.. a. π‘ππ2 π b. πΆππ‘ 2 π c. πΆππ 2 π c. πππ2 π 16. Point (-2, -2) lies in β¦β¦β¦β¦β¦β¦β¦β¦β¦ a. 1st quadrant b. 2nd quadrant c. 3rd quadrant d. None of these 28 17. Eliminating β t β from π₯ β π‘ 2 = 0, π¦ = π‘ 3 , we get β¦β¦β¦β¦β¦β¦β¦β¦.. a. π₯ 2 = π¦ b. π₯3 = π¦3 c. π₯ 3 = π¦ 2 d. π₯ = π¦ 2 18. An angle inscribed in a semi circle is β¦β¦β¦β¦β¦β¦β¦ a. Obtus b. Right angle c. Acute angle d. None of these 19. A circle touching sides of a triangle internally is called β¦β¦β¦β¦β¦β¦β¦.. a. Circum circle b. Inscribed circle c. Escribed cirle d. All of these 2 20. The roots of the equation, π₯ β 5π₯ + 6 = 0 are β¦β¦β¦β¦β¦β¦β¦β¦. a. π₯ = 2, 6 b. π₯ = 6, 9 c. π₯ = 2, 3 d. π₯ = 3, 6 21. The solution set of equation ππ₯ + π = 0 is β¦β¦β¦β¦β¦β¦β¦. a. b/a b. βb/a c. ab d. βab 22. In a right angled triangle the inverse ration of cosec π = β¦β¦β¦β¦β¦β¦β¦ a. Sinπ b. Cos π c. tan π d. Sec π 2 2 23. β¦β¦β¦β¦β¦ should be subtracted from π + 4π to make the expression complete square. a. 4pq b. 2pq c. pq d. 19pq 24. The circle is said to be β¦β¦β¦β¦β¦β¦β¦β¦. If circle of their radii are of the same length a. Tangent circle b. Congruent c. Intersecting d. Concentric 25. (π + π)3 = β¦β¦β¦β¦β¦β¦β¦β¦.. a. (π β π)(π2 + ππ + π 2 ) b. (π + π)(π2 β ππ + π 2 ) d. π3 + π 3 β 3ππ (π + π) 29 c. π3 + π 3 3ππ (π + π)