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Determinants

NCERT Class 12

CBSE

Grade 12

Question:

If points $(a, 0), (0, b)$ and $(1, 1)$ are collinear, then $\dfrac{1}{a} + \dfrac{1}{b}$ is equal to:
(a) $1$
(b) $0$
(c) $-1$
(d) $2$

Step-by-Step Solution

$ab - a - b = 0 \Rightarrow \dfrac{1}{a} + \dfrac{1}{b} = 1$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating sum $= 1$: 1.0 Mark

Correct Answer: $1$

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