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There are eight lines in a plane, no two of which are parallel. What is the maximum number of points at which they can intersect?

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Important Questions on Straight Lines

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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
O (0, 0), A (1, 2), B (3, 4) are the vertices of ∆OAB. The joint equation of the altitude and median drawn from O is
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
The graph of the equation x-7y=-42 intersects the y-axis at Pα,β and the graph of 6x+y-15=0, intersects the x-axis at Qγ,δ. What is the value of α+β+γ+δ?
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
If the straight line 2x-3y+17=0 is perpendicular to the line passing through the points 7,17 and 15, β, then β equals :
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
The tangent to the curve y=x2-5x+5, parallel to the line 2y=4x+1, also passes through the point :
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
Find the y-intercept of the line joining two points (1, 3) and (3, 5).
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
Two vertices of a triangle are 0,2 and 4,3. If its orthocenter is at the origin, then its third vertex lies in which quadrant?
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
The equation of the line passing through the point -3,1 and bisecting the angle between coordinate axes is
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
Let L be the line passing through the point P1,2 such that its intercepted segment between the co-ordinate axes is bisected at P. If L1 is the line perpendicular to L and passing through the point -2, 1, then the point of intersection of L and L1 is
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines

Answer the question on the basis of the following figure.

If AB is parallel to EC and ∠BCD=72°, what will be that value of ∠BAC?

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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
If S1 and S2 are two straight lines such that the reflection of S1 in S2 and the reflection of S2 in S1 coincide, the angle between S1 and S2 is equal to?
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines

The number of values of k, for which the system of equations :

k+1x+8y=4k

kx+k+3y=3k-1

has no solution, is :
EASY
Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
The y-intercept of the line passing through A6,1  and perpendicular to the line x-2y=4 is …
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
A ray of light along x+3y=3 gets reflected upon reaching X-axis, the equation of the reflected ray is
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
Two sides of a parallelogram are along the lines, x+y=3 and x-y+3=0. If its diagonals intersect at 2,4, then one of its vertex is:
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
A straight line L through the point (3, -2) is inclined at an angle of 60° to the line 3x+y=1. If L also intersects the X-axis, then the equation of L is:
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
Distance between two parallel lines y=2x+4 and y=2x-1 is
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
Let a, b, c and d be non-zero numbers. If the point of intersection of the lines 4ax+2ay+c=0 & 5bx+2by+d=0 lies in the fourth quadrant and is equidistant from the two axes then 
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
A ray of light passing through the point (1,2) reflects on the X -axis at point A and the reflected ray passes through the point (5,3) . The coordinate of A is
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
The two equations are 4x + 4ky - 6 = 0 and x + 6y - 12 = 0. Find the value of k for which the pair of two linear equations represents the parallel lines.
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Mathematics>Coordinate Geometry>Straight Lines>Interaction between Two Lines
A rectangle is inscribed in a circle with a diameter lying along the line 3y=x+7. If the two adjacent vertices of the rectangle are -8, 5 and 6, 5, then the area of the rectangle (in sq. units) is: