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Angle between Two Lines

Given that ...

Question

Given that $M S N$ is a straight line and $S$ is the mid-point of $P Q$ , find the coordinates of $Q$ .

(12, 14)

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(14, 10)

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(14, 4)

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(10, 4)

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Solution

The correct option is C $(14, 4)$
S is the mid point of PQ and MSN is a straight line
we got point S as (14,10)
As S is the mid point of PQ.
$(\frac{14 + x}{2}, \frac{16 + y}{2}) = (14, 10) \Rightarrow \frac{14 + x}{2} = 14 ∴ x = 14 \frac{16 + y}{2} = 10 ∴ y = 4 ∴ Q (x, y) = (14, 4)$

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Given that MSN is a straight line and S is the mid-point of PQ, find the coordinates of Q.

The correct option is C (14,4)S is the mid point of PQ and MSN is a straight linewe got point S as (14,10)As S is the mid point of PQ.(14+x2,16+y2)=(14,10)⇒14+x2=14∴x=1416+y2=10∴y=4∴Q(x,y)=(14,4)

Given that $M S N$ is a straight line and $S$ is the mid-point of $P Q$ , find the coordinates of $Q$ .

The correct option is C $(14, 4)$
S is the mid point of PQ and MSN is a straight line
we got point S as (14,10)
As S is the mid point of PQ.
$(\frac{14 + x}{2}, \frac{16 + y}{2}) = (14, 10) \Rightarrow \frac{14 + x}{2} = 14 ∴ x = 14 \frac{16 + y}{2} = 10 ∴ y = 4 ∴ Q (x, y) = (14, 4)$