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The straight lines 4ax + 3by + c = 0, where a + b + c = 0, are concurrent, at the point

1) (4,3) 2) (¼, ⅓) 3) (½, ⅓) 4) None of these Solution: 4ax + 3by + c = 0... View Article

The three lines lx + my + n = 0, mx + ny + l = 0, nx + ly + m = 0 are concurrent if

1) l = m + n 2) m = l + n 3) n = l + m 4) l... View Article

If lines 4x + 3y = 1 ,y = x + 5 and 5y + bx = 3 are concurrent, then b equals

1) 1 2) 3 3) 6 4) 0 Solution: Given 4x + 3y = 1 ,y = x + 5... View Article

The lines 2x + y – 1 = 0, ax + 3y – 3 = 0 and 3x + 2y – 2 = 0 are concurrent for

1) All a 2) a = 4 only 3) –1≤ a ≤ 3 4) a > 0 only Solution: If... View Article

If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0 and cx + 4y + 1 = 0 are concurrent, then a,b,c are in

1) A.P 2) G.P 3) H.P 4) None of these Solution: Given ax + 2y + 1 = 0, bx... View Article

The lines 15x – 18y + 1 = 0, 12x + 10y – 3 = 0 and 6x + 66y – 11 = 0 are

1) Parallel 2) Perpendicular 3) Concurrent 4) None of these Solution: Given 15x – 18y + 1 = 0…(i) 12x... View Article

The solution of equations x + y = 10, 2x + y = 18 and 4x – 3y = 26 will be

1) Only one solution 2) No solution 3) Infinite solution 4) None of the above Solution: x + y =... View Article

Which of the following lines is concurrent with the lines 3x + 4y + 6 = 0 and 6x + 5y + 9 = 0

1) 2x + 3y + 5 = 0 2) 3x + 3y + 5 = 0 3) 7x + 9y... View Article

The number of straight lines that are equally inclined to both the axes is

1) 4 2) 2 3) 3 4) 1 Solution: Since the coordinate axes meet at right angles, the lines that... View Article

If the line passing through (4,3) and (2, k) is perpendicular to y = 2x + 3, then k =

1) -1 2) 1 3) -4 4) 4 Solution: Slope of line passing through (4,3) and (2, k), m1 =... View Article

Equation of angle bisectors between x and y-axes are

1) y = ± x 2) y = ± 2x 3) y = ± (½)x 4) y = ± 3x... View Article

If vertices of parallelogram are respectively (0,0), (1,0), (2,2) and (1,2), then angle between diagonals is

(1) π/3 (2) π/2 (3) 3π/2 (4) π/4 Solution: Given vertices of the parallelogram are (0,0), (1,0), (2,2) and (1,2)... View Article

The angle between the straight lines x – y√3 = 5 and x√3 + y = 7 is

1) 600 2) 900 3) 750 4) 300 Solution: Given lines x – y√3 = 5 …(i) => y =... View Article

The inclination of the straight line passing through the point (-3, 6) and the midpoint of the line joining the (4, -5) and (-2, 9) is

(1) π/4 (2) π/6 (3) π/3 (4) 3π/4 Solution: Midpoint of line joining (4, -5) and (-2, 9) = ((4... View Article

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