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JEE Previous Year Question

$The sum of the squares of the intercepts made the line 5 x - 2 y = 10 on the coordinate axes equals$

Topic: JEE PYQ

Answer: A. Full step-by-step solution below.

A $29$
B $25$
C $4$
D $100$

Correct answer: A

Solution

(a) Given line, 5 x - 2 y = 10 \Rightarrow \frac{x}{( \frac{10}{5} )} + \frac{y}{( \frac{10}{- 2} )} = 1 \Rightarrow \frac{x}{2} + \frac{y}{- 5} = 1 Sum of the squares of the intercepts = 2^{2} + (- 5)^{2} = 29

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