JEE Advanced Mathematics question

Mathematics Straight Lines JEE Advanced

The real value of for which the value of satisfying the equation gives the slope of a line parallel to the -axis is

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

A line parallel to the -axis has slope "", so the quadratic must have an infinite root. A quadratic has a root tending to exactly when its leading coefficient vanishes (with ): put

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Question ID VK-109930