14) A vertical pole of length 6m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 32 m long.
What is the height of the tower. What is the area of the triangle formed by the pole and its shadow?
15) PORSis a trapezium in which SRI| PO and its diagonals intersect each other at the point O Show that PO/QO= RO/ SO
16) Find the sum of the first 20 positive integers divisible by 5
17) Find the sum of first 24 terms of the list of numbers whose nth term is given by an= 4+ 3n
18) 1f a line PQ is drawn parallel to one side of a triangle LMN to intersect the other two sides in distinct points, the other two sides
are divided in the same ratio.
19) Sides AB and AC and median AD of a A ABC are respectively proportional to sides PQ and PR and median PM of another A
PQR. Show that A ABC A PQR
20) If the sum of the first n terms of an AP is 2n+n, what is the first term (that is S1)? What is the sum of first two terms? What is
the second term? Similarly, find the 3rd, the 10th and the nth terms
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Professional development and increases the length of the stem and
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