MHT CET 2026 Mathematics question

The number of lines passing through A (3, 4) and the sum of whose non- zero intercepts is zero is (are)

(A)1
(B)2Correct
(C)3
(D)4

Answer: (B)

Solution

Case 1: both intercepts non-zero. Let them be and (sum zero): . Through : , giving the line . Case 2: a line through the origin has both intercepts zero, so it has no non-zero intercept and the condition holds trivially: the line

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Question ID VK-099428