Geometry Practice Test 6

Question : 27 of 39

Marks: +1, -0

The graph of the liner equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the point A and B respectively. P(2, 0) and

Q (0 , 3/2)

are two points on the sides OA and OB respectively of ΔOAB, where O is the
origin of the co-ordinate system. Given that AB = 10 cm, then PQ is equal to:

20 cm
2.5 cm
40 cm
5 cm

Validate

Solution:

3x + 4y = 24 is a linear equation whose length is 10 cm.
Now PQ = x cm
ΔPOQ is a right angle triangle.

(OP)^2+(OQ)^2

(QP)^2

(2)^2+(3/2)^2

(QP)^2

4+9/4

(PQ)^2

{16+9}/4

PQ^2

PQ =

√{{25}/4}

5/2

= 2.5 cm

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