Two Dimensional Analytical Geometry

Matching exercise

    
Match the items on the right to the items on the left.
If the lines represented by the equation 6x² + 41xy - 7y² = 0 make angles and with x- axis then tanα tanβ =
If one of the lines given by 6x² - xy + 4cy² = 0 is 3x + 4y = 0,, then c equals to
If the equation of the base opposite to the vertex (2, −1) of an equilateral triangle is x + y = 2, then the length of a side is
Find the distance between two parallel lines 3x + 4y = 12 and 6x + 8y +1=0.
-6/7
-3
√6/3
5/2