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March-2016
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Q3 of 23 Page 1

Solve any three sub-questions:

Write the equation of the line passing through the pair of points (2,3) and (4,7) in the from of y = mx+c.

Since the line is passing through two point,

Therefore the equation would be in two point form



Here x1 = 2


y1 = 3


x2 = 4


y2 = 7




-4x + 8 = -2y + 6


2y = 4x – 2


y = 2x – 1


Therefore the required the equation is y = 2x – 1.


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3

Solve any three sub-questions:

Draw a circle of radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using centre of the circle.

3

Solve any three sub-questions:

If sec then find the value of where is in IV quadrant.

4

Solve any two sub-questions:

Prove that “The length of the two tangent segments to a circle drawn from an external point are equal.”

4

Solve any two sub-questions:

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river. (√3 = 1.73)

Questions · 23
March-2016
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