The equation of the straight line which passes through the point (1, 2) and cuts off equal intercepts from the axes is
Straight lines form the foundation of coordinate geometry and play a vital role in mathematics. The CBSE 2024-2025 NCERT Class 11th syllabus covers important topics like the slope of a line different forms of line equations conditions for parallel and perpendicular lines and the distance of a point from a line. Multiple-choice questions are designed to help students test their understanding and improve problem-solving skills. Regular practice of these MCQs enhances accuracy and logical reasoning. A clear grasp of straight lines is essential for board exams and competitive exams as it builds a strong base for advanced mathematical concepts.
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Choice (b) is correct.
Let the intercepts on the axes be a and a respectively.
The equation of the line is x/a + y/a = 1 ⇒ x + y = a
Since the line passes through the point (1, 2), their coordinates must satisfy the equation (1).
1 + 2 = a ⇒ a = 3
Putting the value of a in (1), the equation of the line is x + y = 3.
This question related to Chapter 9 maths Class 11th NCERT. From the Chapter 9: Straight Lines. Give answer according to your understanding.
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