The slope of a line that makes an angle of measure 300 with positive direction of y-axis measured anticlockwise is
1) √3 2) -√3 3) 1/√3 4) none of these Solution: Given that the line makes angle 300 with positive... View Article
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The equation of line passing through point of intersection of lines 3x – 2y – 1 = 0 and x – 4y + 3 = 0 and the point (π, 0), is
1) x – y = π 2) x – y = π (y + 1) 3) x – y =... View Article
The equation of line whose midpoint is (x1, y1) in between the axes, is
1) x/x1 + y/y1 = 2 2) x/x1 + y/y1 = 1/2 3) x/x1 + y/y1 = 1 4) None... View Article
The equation of line, which bisects the line joining two points (2, -19) and (6, 1) and perpendicular to the line joining two points (-1, 3) and (5, -1) is
1) 3x – 2y = 30 2) 2x – y – 3 = 0 3) 2x + 3y = 20... View Article
The intercept cut off from y-axis is twice that from x-axis by the line and line is passing through (1, 2) then its equation is
1) 2x + y = 4 2) 2x + y + 4 = 0 3) 2x – y = 4... View Article
The points A(1, 3) and C(5, 1) are the opposite vertices of rectangle. The equation of line passing through other two vertices and of gradient 2, is
1) 2x + y – 8 = 0 2) 2x – y – 4 = 0 3) 2x – y... View Article
The equation of a line through (3, -4) and perpendicular to the line 3x + 4y = 5 is
1) 4x + 3y = 24 2) y – 4 = (x + 3) 3) 3y – 4x = 24... View Article
The equation of the line which cuts off an intercept 3 units on OX and an intercept -2 unit on OY, is
1) x/3 – y/2 = 1 2) x/3 + y/2 = 1 3) x/2 + y/3 = 1 4) x/2... View Article
A line passes through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7 is
1) 3x + 4y + 3 = 0 2) 3x + 4y = 0 3) 4x – 3y + 3... View Article
The equation of a line passing through the point of intersection of the lines x + 5y + 7 = 0, 3x + 2y – 5 = 0, and perpendicular to the line 7x + 2y – 5 = 0, is given by
1) 2x – 7y – 20 = 0 2) 2x + 7y – 20 = 0 3) – 2x +... View Article
The equation of a straight line passing through (-3, 2) and cutting an intercept equal in magnitude but opposite in signs from the axes is given by
1) x – y + 5 = 0 2) x + y – 5 = 0 3) x – y... View Article
The equation of the line parallel to the line 2x – 3y = 1 and passing through the middle point of the line segment joining the points (1,3) and (1, -7), is
1) 2x – 3y + 8 = 0 2) 2x – 3y = 8 3) 2x – 3y + 4... View Article
A line meets x-axis and y-axis at the points A and B respectively. If the middle point of AB be (x1, y1), then the equation of the line is
1) y1x + x1y = 2x1 y1 2) x1x + y1y = 2x1y1 3) y1x + x1y = x1y1 4)... View Article
The set of values of x satisfying 2 ≤ |x – 3|< 4 is
1) (- 1, 1] ∪ [5, 7) 2) – 4 ≤ x ≤ 2 3) – 1 < x <... View Article
The set of all x satisfying the inequality [4x – 1] / [3x + 1] ≥ 1 is
1) (- ∞, – 1 / 3) ⋃ (1 / 4, ∞) 2) (- ∞, – 2 / 3) ⋃... View Article
The set of values of x for which the inequalities x2 – 3x – 10 < 0, 10x - x2 – 16 > 0 hold simultaneously, is
1) (- 2, 5) 2) (2, 8) 3) (- 2, 8) 4) (2, 5) Solution: (4) (2, 5) x2 –... View Article
If r is a real number that |r| < 1 and if a = 5(1 - r), then
1) 0 < a < 5 2) – 5 < a < 5 3) 0 < a < 10 4)... View Article
Number of integral solutions of [x + 2] / [x2 + 1] > 1 / 2 is / are
1) 0 2) 1 3) 2 4) 3 5) 4 Solution: (4) 3 [x + 2] / [x2 + 1]... View Article
If (x – 1)(x2 – 5x + 7) < (x - 1), then x belongs to
1) (1, 2) ∪ (3, ∞) 2) (- ∞, 1) ∪ (2, 3) 3) (2, 3) 4) None of the... View Article
If [2x] / [2x2 + 5x + 2] > 1 / (x + 1), then
1) – 2 > x > – 1 2) – 2 ≥ x ≥ – 1 3) – 2 <... View Article
