Straight Lines questions
982 published questions with worked solutions.
- The acute angle between the line joining the points (2, 1, -3), (-3, 1, 7) and a line parallel to x - 1 3 = y 4 = z + 3 5 through...
- Angle between lines r = ( i + 2 j - k ) + (3 i - 4 k ) and r = (1 - t)(4 i - j ) + t(2 i + j - 3 k ) is
- The angle between the lines x 1 = y 0 = z -1 and x 3 = y 4 = z 5 is
- The sum of the squares of the distance of a moving point from two fixed point (a, 0) and (-a, 0) is equal to a constant 2C. Then,...
- A rod of length l sides with its ends on two perpendicular lines. Then, the locus of its mid-point is
- The equation of the locus of a point which is always equidistant from the points (1, 0) and (0, -2) is
- If any point P is at the equal distances from points A(a + b, a - b) and B(a - b, a + b), then locus of a point is
- If origin is shifted to (7, -4), then point (4, 5) shifted to
- Without change of axes the origin is shifted to (h, k), then from the equation x^2 + y^2 - 4x + 6y - 7 = 0 the terms containing...
- If the coordinates of a point (4, 5) become (-3, 9), then the point of origin be shifted at
- Shift the origin to a suitable point so that the equation y^2 + 4y + 8x - 2 = 0 will not contain term in y and the constant term,...
- The slope of lines, whose indination is 150^ , is
- Find the slope of a line, which makes an angle of 30^ with the positive direction of Y-axis measured anti-clockwise.
- Lines through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Then, the value...
- Slopes of two parallel line are
- If A, B and C are three points in the xy-plane, then they will lie on a line or they are collinear, if and only if
- Find the angle between the X-axis and the line joining the points (3, -1) and (4, -2).
- Find the equation of the lines which cuts-off intercepts on the axes whose sum and product are 1 and -6, respectively.
- If PS is a median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3), then the equation of the line passing through (1,...
- A straight line perpendicular to the line 2x + y = 3 is passing through (1, 1). Its y-intercept is
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