Section A: (Multiple Choice Questions)

Q:1: Choose the correct answer for each from the given options:

1 - 53 2/52 3is equal to

a. 0
b. 5
c. 1
d. 16

2 - The value of tan 60o is

a. √3/2
b. 2/√3
c. √3
d. 1/√3

3 - If log 9=x then x=

a. 1/2
b. 2
c. 9
d 1/4

4 - If a set has 3 elements, then the number of elements of its possible sub

a. 2
b. 4
c. 6
d. 1

5 - The degree of polynomials x2+xy2+y is

a. 2
b. 4
c. 3
d. 1

6 - The solution set of √y-2 = 4 is

a. 18
b. ±4
c. -18
d. 14

7 - (49)1/2 x √121 is equal to

a. 22
b. 77
c. 33
d. 11

8 - (2√2 + √7) (2√2 - √7) is equal to

a. 7
b. 1
c. 4
d. 8

9 - The order p[air(-2, -4) lies in / on

a. 1st quadrant
b. 3rd quadrant
c. X - axis
d. Y - axis)

10 - €X/n is the formula of

a. Arithmatic Mean
b. Median
c. Mode
d. None Of them)

11 - In 12,13,4,4,5,7,9 the mode is

3
7
9
4

12 - If the determinate of a matrix is zero then the matrix is called

a. Square matrix
b. rectangular matrix
c. Singular matrix
d. Non-singular Matrix)

13 - Eliminate “X” from X+b=0, X+C=0, the relation is

a. b=c
b. b+c=0
c. bc=0
d. b/c+1=0

14 - The characteristic of log5.723 is equal to

a. 1
b. -1
c. 0
d. 2

15 - The measure of each angle of an equilateral triangle is

a. 600
b. 900
c. 450
d. 180)

16 - X4 + 64 can be made a perfect square by adding

a. X2
b. 8X2
c. 16,
d. 16X2

17 - The sets of all points of a plane which are equidistance from a fixed point is called a

a. Chord
b. radius
c. Centre
d. Circle

18 - The Cartesian product of set A and B is written as

a. AΛB
b. AxB
c. BxA
d. A,B

19 - The diameter contain atleast

a. one point
b. five points
c. three points
d. two points

20 - Two circle are congruent if their_______________are congruent

a. radius
b. chord
c. diameter
d. centre

Section "B"
(Short Answer Questions)

Note: Answer any ten questions. All questions carry equal marks.

Q2: Let μ= {1,2,3,4,5,6,7}, A ={ 1,3,5,7} and B={3,4,5,6} verify De Morgan’s Law?

Q3: Simplify [(125)2 X (8)/(64)2]1/3

Q4: Find the logarithm of 125 to base 5√5.

Q5:Apply Camer’s rule to solve the equation
                   2X + 5Y = 9
                   4X - 2Y = 1

Q6: If a side of a triangle is extended, the exterior angle so formed is, in measure, greater than wither of the two interior opposite angles.

Q7: Find the factor by mean of remainder theorem
                   X3 + X2 - 2

Q8: Find the square root of a4 +10a3 +31a2 +30a +9

Q9: If one pair of opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram.

Q10: Eliminate “t” from
                   Y= 2 /5 t
                   X = 1 / 2t

Q11: Find the solution set of 15y – 31 -6 = 3.

Q12: The grades of a students in five examinations were 67,87,81,75,90. Find the arithmetic mean of grades.

Q13: Find the trigonometric rations of an angle of 600.

Q14: Find the value of X3 + Y3 when X+Y = -5, and XY =8.

Q15: If a perpendicular is drawn from the centre to a chord of a circle, it bisects the chord.

Q16: A kite has 120m of a string attached to it, when at an elevation of 600. how far it is above the hand holding it?

Section "C"
(Descriptive Answer Questions)

Q17: Factorize the following.

Q18:In a correspondence of two triangles, if three side of one triangle are congruent to the corresponding three side of the other, prove that the two triangles are congruent.

Q19: Find the solution set graphically (find four ordered pair)
                  X + y = 4
                  2X – 1 = 5Y

Q20: Find the variance of the following set of observations.
                  X = 11,13,25,15,12,18,17,23,20,16.