Question

III. LAQ: Answer any FIVE of the following.
5x7= 35
18. If Q(h,k) is the foot of the perpendicular from P(x,y) on the straight 1
h-_-,
k-y--(ax, +by; +C). Hence find the foot of
ar +by+C =0, then
b a? + b
perpendicular from (-1,3) on the straight lines 5x- y-18 = 0.
19. Find the orthocenter of the triangle with the vertices (-2,-1), (6,-1) and (2,5)
20. Find the circum center of the triangle whose sides are given by x + y +2=0,5x-y-2
and x-2y+5 = 0
21. Show that the product of the perpendicular distances from a point (r,s) to the pair
ar? +2hrs +bs?
straight lines ar? + 2hry+by2 = 0 is
ſa-b)² + 4h²
22. If the equation ax + 2hry + by² = 0 represents a pair of intersecting lines, then
combined equation of the pair of bisectors of the angle between these lines
h(x - y) = (a - b)xy.
23. Find the value of k, if the lines joining the origin to the points of intersection of the cur
2x - 2xy + 3y2 + 2x - y-1=0 and the line x + 2y = k are mutually perpendicular​

Answer 1

Answer:

omg quite long please acche se poocho...

Answer 2

Answer:

. The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y - 11 = 0 are

Straight Lines

A(-6, 5)

17%

B(5, 6)

67%

C(-5, 6)

0%

D(6, 5)

17%

Solution:

Answer (b) (5, 6)