alleryA line with y-intercept c cuts the y-axis at the point
- (0, c)
- (c, c)
- (0, 0)
- (c, 0)
Show answer and solution
Correct answer: A. (0, c)
The line meets the y-axis where x = 0, giving (0, c).
CBSE Class 11 (Commerce) Straight Lines and Conic Sections — practice questions — page 5
Explore 152 free Straight Lines and Conic Sections questions in CBSE Class 11 (Commerce) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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A line with y-intercept c cuts the y-axis at the pointRead the answer and worked solution →Find the line with slope 2 and y-intercept 3.Read the answer and worked solution →The intercept form of a line with x-intercept a and y-intercept b isRead the answer and worked solution →A line has x-intercept 4 and y-intercept 6. Its equation isRead the answer and worked solution →Ax + By + C = 0 is a general linear equation providedRead the answer and worked solution →The slope of the line Ax + By + C = 0 (B ≠ 0) isRead the answer and worked solution →The distance of a point from a line is the length of theRead the answer and worked solution →Find the distance of (3, –5) from the line 3x – 4y – 26 = 0.Read the answer and worked solution →The distance between Ax + By + C1 = 0 and Ax + By + C2 = 0 isRead the answer and worked solution →The acute angle θ between lines of slopes m1 and m2 satisfies tan θ =Read the answer and worked solution →Find the acute angle between the line y = x and the x-axis.Read the answer and worked solution →Two lines have slopes 1/2 and 1/3. The tangent of the acute angle between them isRead the answer and worked solution →Lines with slopes 2 and –1/2 meet at an angle ofRead the answer and worked solution →If the acute angle between two lines is 30°, the obtuse angle between them isRead the answer and worked solution →If (m2 – m1)/(1 + m1m2) is positive, the angle θ between the lines isRead the answer and worked solution →Two lines meet at 45° and one has slope 0. The other slope can beRead the answer and worked solution →Find the slope of the line from the origin to the mid-point of the segment joining (0, –4) and (8, 0).Read the answer and worked solution →A line makes 30° with the positive y-axis, measured anticlockwise. Its slope isRead the answer and worked solution →The line joining (3, –1) and (4, –2) makes what angle with the positive x-axis?Read the answer and worked solution →A line through (2, 3) cuts equal intercepts on both axes. Its equation isRead the answer and worked solution →In triangle PQR with P(2, 1), Q(–2, 3), R(4, 5), the median through R isRead the answer and worked solution →The points (3, 0), (–2, –2) and (8, 2) are collinear since the slopes of the segments from (3, 0) to the others are bothRead the answer and worked solution →L (cm) is linear in C: 124.942 at 20 and 125.134 at 110. L rises per degree byRead the answer and worked solution →Linear demand: 980 L at Rs 14 and 1220 L at Rs 16. Sales at Rs 17 areRead the answer and worked solution →The point on the x-axis equidistant from (7, 6) and (3, 4) isRead the answer and worked solution →An equilateral triangle has a base of length 4 on the y-axis centred at the origin. A third vertex isRead the answer and worked solution →A line perpendicular to the segment from the origin to (–2, 9) passes through (–2, 9). Its equation isRead the answer and worked solution →A segment between the axes has mid-point P(a, b). Its x-intercept isRead the answer and worked solution →R(h, k) divides the segment from (p, 0) to (0, q) in the ratio 1:2. Then p equalsRead the answer and worked solution →The line through (–2, 3) parallel to 3x – 4y + 2 = 0 isRead the answer and worked solution →
Worked practice questions
Find the line with slope 2 and y-intercept 3.
- x – 2y + 3 = 0
- 2x – y + 3 = 0
- 2x – y – 3 = 0
- 2x + y – 3 = 0
Show answer and solution
Correct answer: B. 2x – y + 3 = 0
y = 2x + 3 rearranges to 2x – y + 3 = 0.
The intercept form of a line with x-intercept a and y-intercept b is
- a/x + b/y = 1
- x/a + y/b = 1
- x/a – y/b = 1
- x/b + y/a = 1
Show answer and solution
Correct answer: B. x/a + y/b = 1
The line passes through (a, 0) and (0, b), which satisfy x/a + y/b = 1.
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