TS EAMCET Coordinate Geometry: The Straight Line — practice questions
46 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET Coordinate Geometry: The Straight Line in the app →A vertical line has inclination 90°. What can be said about its slope?The slope of a line inclined at 30° to the positive x-axis isA line joins (-2, 5) and (4, -1). Its slope isA straight road runs from (3, -4) to (7, 4) on a map grid. Its slope isThe line y = -2x + 7 cuts the y-axis at a point whose ordinate isA line passes through (-2, 3) with slope -4. Its equation isA line has slope 2 and meets the y-axis at (0, -3). Its equation isThe intercepts made by 2x - 3y = 6 on the x and y axes areThe line 3x + 4y = 12 and the two axes enclose a triangle of areaWhat area does the line x/4 + y/6 = 1 cut off with the coordinate axes?The perpendicular distance of the point (3, 4) from 3x - 4y + 22 = 0 isFind the distance of the line x/3 + y/4 = 1 from the origin.What angle do the lines y = x + 2 and y = -x + 5 make with each other?The perpendicular bisector of the segment joining (0, 0) and (4, 6) isFor which value of k are kx + 3y = 1 and 2x + 6y = 5 parallel?The points (1, 2), (2, 4) and (3, k) are collinear. Then k equalsPoints A(1, 1), B(2, 3) and C(k, 7) lie on one line. Find k.The lines x + y = 5 and x - y = 1 intersect at the pointFind the point where 2x + y = 7 meets x - y = -1.In the general equation Ax + By + C = 0 of a line, the slope isThe line ax + by + c = 0 passes through the origin whenIf 3x - 4y + k = 0 passes through (2, 1), what is k?For what k are the lines 3x + ky = 5 and 6x + 8y = 7 parallel?Find the equation of the line joining (1, 2) and (3, 6).A line cuts off intercepts 3 and 4 on the x and y axes. Its equation isWhat x-intercept does the line 5x - 2y = 20 have?The line 3x - 4y + 8 = 0 cuts the y-axis at y equal toA horizontal line through the point (3, -4) has the equationThe vertical line passing through (5, 7) has equationAt which point do x + y = 5 and x - y = 1 intersect?The line through the origin and (1, √3) has inclinationWhat area do 4x + 3y = 12 and the two axes enclose?Which expression gives tan θ for the acute angle between slopes m1 and m2?The distance of (x1, y1) from Ax + By + C = 0 isFor the line 6x + 2y = 9, the y-intercept isFind the line inclined at 60° to +x axis cutting the y-axis at (0, -1).The line 3x + 4y = k lies at distance 2 from the origin for k > 0. Find k.Lines x + 2y = 3, 2x + y = 3 and x + y = k are concurrent. Find k.Which condition makes a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 perpendicular?In triangle A(1,1), B(5,1), C(3,5), how long is the altitude from C to AB?In a triangle with A(1,1), B(2,0), C(4,6), the median from A has slopeA rhombus has a diagonal of slope 2/3. The other diagonal has slopeWhich quadrant does the line 2x + 3y = 6 avoid?The sum of intercepts cut by 3x - 2y = 6 on the axes isA line meets the axes at (a, 0) and (0, b). Its slope isA line through (2, 3) has equal intercepts. Area it encloses with the axes?