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Straight Line and Pair of Straight Lines Test - 46

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Straight Line and Pair of Straight Lines Test - 46
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  • Question 1
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    The equation of bisectors of the angles between the lines |x| = |y| are
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    The area of the parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1 equals
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    A point starts moving from (1,2) and its projection on x and y-axis are moving with velocities of 3m/s and 2m/s respectively. Its locus is
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    The lines p(p2 + 1) x – y + q = 0 and (p2 + 1)2 x + (p2 + 1)y + 2q = 0 are perpendicular to a common line for
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    The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ and x sin θ – (1 + cos θ)y + a sin θ = 0 is
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    If P is a point (x,y) on the line y = –3x such that P and the point (3,4) are on the opposite sides of the line 3x – 4y – 8 = 0, then
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    If the equations of opposite sides of a parallelogram are x2 – 7x + 6 = 0 and y2 – 14y + 40 = 0, then the equation of its one diagonal is
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    The image of the pair of lines represented by ax2 + 2hxy + by2 = 0 by the line mirror y = 0 is
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  • Question 10
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    If the portion of the line lx + my = 1 falling inside the circle x2 + y2 = a2 subtends an angle of 450 at the origin, then
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