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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
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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