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NCERT Solutions for Class 11 Math Ch-9: Straight Lines
NCERT Solutions for Class 11 Maths Chapter 9 Straight Lines covers the slope of a line, various forms of the equation of a straight line, and the formulas for distance between a point and a line.
Overview of Topics & Subtopics
Important Questions and Answers
Q1: What is the formula for the slope of a line passing through two points (x1, y1) and (x2, y2)?
Answer: The slope (m) of a line passing through two points is given by m = (y2 − y1) / (x2 − x1), provided x1 ≠ x2.
Q2: Write the point-slope form of the equation of a line.
Answer: The point-slope form of a line passing through a point (x1, y1) with slope m is given by y − y1 = m(x − x1).
Q3: Write the slope-intercept form of the equation of a line.
Answer: The slope-intercept form of a line with slope m and y-intercept c is given by y = mx + c.
Q4: What condition on slopes indicates that two lines are parallel or perpendicular?
Answer: Two lines are parallel if their slopes are equal (m1 = m2). Two lines are perpendicular if the product of their slopes equals −1 (m1 × m2 = −1).
Q5: What is the formula for the perpendicular distance of a point (x1, y1) from a line Ax + By + C = 0?
Answer: The perpendicular distance of a point (x1, y1) from the line Ax + By + C = 0 is given by d = |Ax1 + By1 + C| / √(A² + B²).
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