AP EAMCET Coordinate Geometry: The Straight Line — practice questions
72 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP 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?The lines y = -3x + 1 and y = -3x - 2 are related how?Line one is y = -3x + 1 and line two is y = x/3 - 2. How are they placed?What is the slope of a line that rises at an angle of 45 degrees to the x-axis?What is the slope of any horizontal line?How is the slope of a vertical line described?A road has a slope of 100 percent. What angle does it make with the horizontal?A gradient of 20 percent on a road is the same as which ratio of rise to run?Where does the line 2x + 5y - 10 = 0 cut the y-axis?In the xy-plane, the equation 4x - 12 = 0 represents which kind of line?If b = 0 in ax + by + c = 0 with a not zero, the line is parallel to which axis?The line 3y = 15 is parallel to which axis?How many distinct straight lines pass through two given distinct points in a plane?How many solutions does a linear equation ax + by + c = 0 have when a and b are real and not both zero?The shortest distance from a point to a line is measured along which segment?What is the perpendicular distance from the origin to the line 3x + 4y - 10 = 0?A line with a positive slope has what direction as x increases?Which line is steepest, one with slope 2, -5, 1/2 or -1?The lines 2x + 3y = 7 and kx + 6y = 1 are parallel. What is k?What is the slope of the secant to y = x^2 through (0, 0) and (3, 9)?Lines with slopes 1/2 and 1/3 meet at an acute angle. What is the tangent of that angle?A line passes through the origin and (3, 4). How far is the point (1, 1) from it?A line of slope -1 passes through (2, 5). What is the sum of its two intercepts?The lines x + y = 2, 2x - y = 1 and 3x + ky = 5 meet at one point. What is k?Which gradient describes a steeper road, 1 in 10 or 1 in 20?What is the solution of the one-variable equation 3x + 12 = 0?Which line passes through (3, -1) and is parallel to the x-axis?