Unformatted text preview: Q. 9 Show that the triangle with vertices A(—~5, ~3), B(1, —3) and
C(—2, 5) is isosceles. Q.10 Find the perpendicular distance of the point (1, 4) from the line:
(a) y—2x+3=0 (b) 2y+x+2=0 Q.11 Find the equation of the line:
(a) passing through (—3, 1) and parallel to 4x — 2y+ 3 = O;
(b) passing through (—3, 1) and perpendicular to 4x — 2 y+ 3 = 0' i (c) passing through (2, 4) and parallel to x—3y+5 = 0;
(c) passing through (2, 4) and perpendicular to x—3y+5 = 0. Find the acute angle between the pair of straight lines with gradients g and %. Find the acute angle between the pair of straight lines with gradients —% and % Find the acute angle between the lines 4x—y+ 1 : 0 and
12 x + By — 5 = 0. Find the coordinates of the point which divides the line joining
(—5, 6) and (4, ~3) internally in the ratio 3 : 1. Find the coordinates of the point which divides the interval AB
externally in the ratio 2 : 3 ifA is (——3, —6) and B is (—7, 1). Given A(2, 3) and B(7, —4), ﬁnd the coordinates ofP such that
AP 2 @25' ...
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 Winter '10
 golishr

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