Lines

Lines - Topic Wise Multiple Choice Questions (MCQ)

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1 )

The equation of line equidistant from the points A(1, – 2) and B(3, 4) and making congruent angles with the coordinate axes is ……..

x + y = 1
y – x + 1 = 0
y – x – 1 = 0
y – x = 2


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2 )

The equation of line passing through the point (– 5, 4) and making the intercept of length (2 / √5) between the lines x + 2y – 1 = 0 and x + 2y + 1 = 0 is ……

2x – y + 4 = 0
2x – y – 14 = 0
2x – y + 14 = 0
None of these


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3 )

The equation of line containing the angle bisector of the lines 3x – 4y – 2 = 0 and 5x – 12y + 2 = 0 is …….

7x + 4y – 18 = 0
4x – 7y – 1 = 0
4x – 7y + 1 = 0
None of these


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4 )

The equation of line passing through the point of intersection of the lines 3x – 2y = 0 and 5x + y – 2 = 0 and making the angle of measure tan–1(– 5) with the positive direction of x–axis is ……

3x – 2y = 0
5x + y – 2 = 0
5x + y = 0
3x + 2y + 1 = 0


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5 )

If for a + b + c ≠ 0, the lines ax + by + c = 0, bx + cy + a = 0 and cx + ay + b = 0 are concurrent, then ………

ab + be + ca = 0
(a/b) + (b/c) + (c/a) = 1
a = b
a = b = c


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