A line cuts off intercept p on the x-axis and intercept q on the y-axis, where p>q. The sum of the intercepts is 2 and the product of the intercepts is -15. What is the equation of the line?

NDA 2026 Mathematics question

A line cuts off intercept on the -axis and intercept on the -axis, where . The sum of the intercepts is 2 and the product of the intercepts is . What is the equation of the line?

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

Answer: (A)

Solution

and , so are the roots of , i.e. . Since :

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Question ID VK-030427