SATHEE: Straight Line Question 88

Straight Line Question 88

Question: The length of the perpendicular from the point $ (b,a) $ to the line $ \frac{x}{a}-\frac{y}{b}=1 $ , is

Options:

A) $ | \frac{a^{2}-ab+b^{2}}{\sqrt{a^{2}+b^{2}}} | $

B) $ | \frac{b^{2}-ab-a^{2}}{\sqrt{a^{2}+b^{2}}} | $

C) $ | \frac{a^{2}+ab-b^{2}}{\sqrt{a^{2}+b^{2}}} | $

D)None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Length of perpendicular is $ | \frac{\frac{b}{a}-\frac{a}{b}-1}{\sqrt{{{( \frac{1}{a} )}^{2}}+{{( \frac{1}{b} )}^{2}}}} |=| \frac{b^{2}-a^{2}-ab}{\sqrt{a^{2}+b^{2}}} | $

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Straight Line Question 88

Question: The length of the perpendicular from the point $ (b,a) $ to the line $ \frac{x}{a}-\frac{y}{b}=1 $ , is

Options:

Answer:

Solution:

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