Pq has length of 17 units with p(-4,7).If x and y coordinates are both grater than x and y coordinates of p what are the possible integer value coordinated of q

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Question:

Pq has length of 17 units with p(-4,7).If x and y coordinates are both grater than x and y coordinates of p what are the possible integer value coordinated of q

Answer:

Given P coordinate as (-4,7). Let Q coordinate be .

Distance between P and Q is 17 units.

Firstly, we will find the distance between P and Q using distance formula.

For the given points say the distance is given by the formula

Since, PQ = 17 units

So, we have to find the perfect squares so that the sum is 289.

Only 64 and 225 are the possibilities such that 64+225 = 289.

So, the possible coordinates are:

(8,15) (8,-15) (-8,-15) (-8,15) (15,8) (15,-8) (-15,-8) and (-15,8)

Since, it is given that ‘x’ and ‘y’ coordinates are both greater than x and y coordinates of P.

So, (8,15) and (5,18) are the possibilities to be coordinates of Q.

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