Question

(b) The point Q has the coordinates (0, -4). Find the coordinates of the point P on the r-axis if the
distance between P and Q is 5 units.
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Answer 1

Step-by-step explanation:

Statement 1- It gives the length of PQ and location of the Q on X-axis. We have no idea about point R.

Insufficient

Statement 2- It just tells that point R lies on either y=5 or y=-5. We have no idea about point P and Q.

Insufficient

Combining both statements.

Suppose the coordinates of Q are (c,0). Point P will lie on the circle whose radius is 6 and center is Q. Point R lies of y=5 or y=-5.

PQR (in Grey) is a possible triangle, which satisfies both statements

Area of PQR = 1/2 * (b+5) * QS

PQR' (in blue) is another possible triangle, which satisfies both statements

Area of PQR' = 1/2 * (b+5) * QT

We can clearly see that QS> QT. Hence there is no definite answer for the area of the triangle which satisfies both statements.

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