Observe the given pattern
4×3+4=16 and find the 15th term.
Find the equation of the line through the intersection of lines x+ 2y 3 = 0and 4xy+ 7 =0 and which is parallel to 5x+ 4y20 = 0
Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x2+2xy+3y2+4x+8y−11=0 is tan−1(322)
Find the point of intersection of the pair of straight lines represented by the equation 6x2+5xy−21y2+13x+38y−5=0.
Show that the pairs of straight lines 2x2+6xy+y2=0 and 4x2+18xy+y2=0 have the same set of angular bisector.
If the pair of lines 3x2−4xy+3y2=0 is rotated about the origin by 6π in the anticlockwise sense, then find the equation of the pair in the new position.
Find the equation of the lines through the point (3, 2) which make an angle of 45owith the line x−2y=3.