Find the sum of the products of the corresponding terms of the sequence 16,32 and 128,32,8,2,21
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Find equation of the line through the point (0, 2) making an angle 32πwith the positive xaxis. Also, find the equation of line parallel to it and crossing the xaxis at a distance of 2 units below the origin.
If the lines 2a+y3=0, 5x+ky3=0and 3xy2=0are concurrent, find the value of k.
Find the direction in which a straight line must be drawn through the point (−1,2)so that its point of intersection with the line x+y=4 may be at a distance of 3 units from this point.
The equation of a line which is parallel to the line common to the pair of lines given by 6x2−xy−12y2=0
and at a distance of 7 units from it is
A person standing at the junction (crossing) of two straight paths represented by the equations 2x+3y+4=0and 3x+4y−5= 0 wants to reach the path whose equation is 6x−7y+8=0in the least time. Find
Find the lines whose combined equation is 6x2+5xy−4y2+7x+13y−3=0
Find the distance of the point (3,−5)from the line 3x−4y−26=0.
Find the equation of a line perpendicular to the line x−2y+3=0and passing through the point (1,2).