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The equation of the straight line joining the origin to the point of intersection of \( \Large y-x+7=0\ and\ y+2x-2=0 \)is:
A) \( \Large 3x+4y=0 \)
B) \( \Large 3x-4y=0 \)
C) \( \Large 4x-3y=0 \)
D) \( \Large 4x+3y=0 \)
Correct answer:
D) \( \Large 4x+3y=0 \)
Description for Correct answer:
The intersection point of \( \Large y-x+7=0 \) and \( \Large y+2x-2=0 \) is \( \Large \left(3,\ -4\right) \)
Therefore, Equation of straight line joining from origin to the point \( \Large \left(3,\ -4\right) \) is
\( \Large y-0 = \frac{-4}{3} \left(x-0\right) \)
=> \( \Large 3y = -4x => 4x+3y=0 \)
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