Straight Lines questions
982 published questions with worked solutions.
- If the combined equation of angle bisectors of the lines x^2 - 2pxy - y^2 = 0 is x^2 - 2qxy - y^2 = 0, then which of the...
- If the equation of the median through vertex A (3, k) of with vertices B (2, 1) and C (-4, 5) is x + 4y = p, then k
- If the equation kxy + 10x + 8y + 16 = 0 represents a pair of lines, then
- The acute angle between the diagonals of a parallelogram whose vertices are A(2, -1), B(0, 2), C(2, 3) and D(4, 0) is
- The acute angle between the lines x = -2 + 2t, y = 3 - 4t, z = -4 + t and x = -2 - t, y = 3 + 2t, z = -4 + 3t is
- The distance between the lines represented by the equation 4x^2 + 4xy + y^2 - 6x - 3y - 4 = 0 is
- A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line...
- If the angle made by the lines represented by the equation ax^2 + 2hxy + by^2 = 0 with X-axis are and , then ( + ) is
- The area of a triangle formed by a line with the coordinate axes is 49 sq. units. If the perpendicular drawn from the origin to...
- If the equation 16x^2 - 24xy + 9y^2 - 8x + 6y - 35 = 0 represents a pair of straight lines, then the equation of the locus of...
- The angle between the lines x-1 l = y+1 m = z n and x+1 m = y-3 n = z-1 l , where l>m>n and l, m, n are roots of the equation...
- The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices are lie on the line y = 2x + c...
- The distance between the lines represented by 16x^2+9y^2+48x-24xy-36y+35=0 is units
- The angle between the lines whose direction cosines are - 3 4 , 14, - 3 2 and - 3 4 , 14, 3 2 is
- The joint equation of the bisectors of the angles between the line x = 5 and y = 3 is
- If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) internally in...
- The lines r = a + ( b c) and r = c + ( a b) will intersect if
- The lines x + 2ay + a = 0, x + 3by + b = 0, x + 4cy + c = 0 are concurrent then a, b, c are in
- If the pair of straight lines xy-x+y-1=0 and the line x+ky-3=0 are concurrent, then the value of k is equal to
- From the following options, the nearest line to the origin is ....
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