MATHEMATICS

SECTION A (40 Marks)

Question 1

(a) Find the value of a and b if x 1 and x 2 are factors of 3 x ax b . [3]
(b) In the figure given below, ABCD is a parallelogram. E is a point on AB.
CE intersects the diagonal BD at G and EF is parallel to BC.
If AE : EB = 1 : 2 find
(i) EF : AD
(ii) area of triangle BEF : area of triangle ABD [3]
(c) On a certain sum of money, the difference between the compound interest
for a year, payable half yearly, and the simple interest for a year is Rs 16.
Find the sum lent out, if the rate of interest in both cases is 8 % . [4]

Question 2

(a) Plot the points A(9,6) and B(5,9) on the graph paper. These two points are the vertices of a figure ABCD which is symmetrical about x = 5 and y = 6.
Complete the figure on the graph. Write down the geometrical name of the figure. [3]
(b) In the diagram given below EDC. The tangent drawn to the circle at C makes an angle of 500 with AB produced. Find the measure of ACB. [3]
(c) PQRS is a square piece of land of side 56 m. Two semicircular grass covered lawns are made on two of its opposite sides as shown in the figure.
Calculate the area of the uncovered portion. [4]

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