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प्रश्न
If the line `x/"a" + y/"b"` = 1 passes through the points (2, –3) and (4, –5), then (a, b) is ______.
विकल्प
(1, 1)
(– 1, 1)
(1, – 1)
(– 1, –1)
उत्तर
If the line `x/"a" + y/"b"` = 1 passes through the points (2, –3) and (4, –5), then (a, b) is (– 1, –1).
Explanation:
Equation of line passing through the points (2, – 3) and (4, – 5) is y + 3 = `(-5 + 3)/(4 - 2) (x - 2)`
⇒ y + 3 = `(-2)/2 (x - 2)`
⇒ y + 3 = – (x – 2)
⇒ y + 3 = – x + 2
⇒ x + y = – 1
⇒ `x/(-1) + y/(-1)` = 1 (Intercept form)
∴ a = – 1, b = – 1
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