MHT CET 2024 Mathematics question

Mathematics Straight Lines MHT CET 2024

The number of possible distinct straight lines passing through (2,3) and forming a triangle with co-ordinate axes whose area is 12 sq. units are

(A)one
(B)two
(C)threeCorrect
(D)four

Answer: (C)

Solution

Let the line have intercepts and : . Passing through : , i.e. ... (1). Area , so . Case : (1) gives with , so , i.e. , , : one line (). Case

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Question ID VK-093116