CBSE Class 11 (Science) Straight Lines — practice questions
54 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Straight Lines in the app →Between which limits does the inclination of any line lie?What is the inclination of a line parallel to the y-axis?If a line has inclination θ, its slope is defined asA line makes an inclination of 45° with the positive x-axis. Its slope isFind the slope of the line through (3, –2) and (–1, 4).Two non-vertical lines are parallel exactly when their slopes areThe product of the slopes of two perpendicular non-vertical lines isA line of slope 2/3 is perpendicular to a line of slopeThe line through (–2, 6) and (4, 8) is perpendicular to the line through (8, 12) and (x, 24). Find x.Three points on one straight line form a triangle whose area isFind the area of the triangle with vertices (0, 0), (4, 0) and (0, 6).A point divides the segment from A(1, –3) to B(–3, 9) internally in the ratio 1:3. Its coordinates areWhich French mathematician published La Géométrie in 1637, introducing the equation of a curve?The study of geometry using algebra is calledA horizontal line lies 5 units above the x-axis. Its equation isThe line through (–2, 3) parallel to the x-axis has equationThe point-slope form of a line through (x0, y0) with slope m isFind the line through (–2, 3) with slope –4.Deriving the two-point form uses the fact that three points on the line areThe line through (1, –1) and (3, 5) has y-interceptThe slope-intercept form of a line isWhat is the y-intercept of the line y = 3x – 7?A line with y-intercept c cuts the y-axis at the pointFind the line with slope 2 and y-intercept 3.The intercept form of a line with x-intercept a and y-intercept b isA line has x-intercept 4 and y-intercept 6. Its equation isAx + By + C = 0 is a general linear equation providedThe slope of the line Ax + By + C = 0 (B ≠ 0) isThe distance of a point from a line is the length of theFind the distance of (3, –5) from the line 3x – 4y – 26 = 0.The distance between Ax + By + C1 = 0 and Ax + By + C2 = 0 isThe acute angle θ between lines of slopes m1 and m2 satisfies tan θ =Find the acute angle between the line y = x and the x-axis.Two lines have slopes 1/2 and 1/3. The tangent of the acute angle between them isLines with slopes 2 and –1/2 meet at an angle ofIf the acute angle between two lines is 30°, the obtuse angle between them isIf (m2 – m1)/(1 + m1m2) is positive, the angle θ between the lines isTwo lines meet at 45° and one has slope 0. The other slope can beFind the slope of the line from the origin to the mid-point of the segment joining (0, –4) and (8, 0).A line makes 30° with the positive y-axis, measured anticlockwise. Its slope isThe line joining (3, –1) and (4, –2) makes what angle with the positive x-axis?A line through (2, 3) cuts equal intercepts on both axes. Its equation isIn triangle PQR with P(2, 1), Q(–2, 3), R(4, 5), the median through R isThe points (3, 0), (–2, –2) and (8, 2) are collinear since the slopes of the segments from (3, 0) to the otherL (cm) is linear in C: 124.942 at 20 and 125.134 at 110. L rises per degree byLinear demand: 980 L at Rs 14 and 1220 L at Rs 16. Sales at Rs 17 areThe point on the x-axis equidistant from (7, 6) and (3, 4) isAn equilateral triangle has a base of length 4 on the y-axis centred at the origin. A third vertex isA line perpendicular to the segment from the origin to (–2, 9) passes through (–2, 9). Its equation isA segment between the axes has mid-point P(a, b). Its x-intercept isR(h, k) divides the segment from (p, 0) to (0, q) in the ratio 1:2. Then p equalsThe line through (–2, 3) parallel to 3x – 4y + 2 = 0 isA line through (1, 2) and (3, 8) is parallel to every line of slopeThe lines 2x – y + 1 = 0 and x + 2y – 3 = 0 are