Line `L_(1) -=ax+by+c=0 " and " L_(2) -= lx+my+n=0` intersect at point P and make an angle `theta` with each other Find the equation of a line different from `L_(2)` which passes through P and makes the same angle `theta " with " L_(1)`.

Lines L_(1)= ax+by+c=0 and L_(2) -= lx+ mu+n=0 intersect at the point P and makes an angle theta with each other. Find the eqauation of a line L different from L_(2) which passes through P and makes the same angle theta with L_(1) .

Lines L_1-=a x+b y+c=0 and L_2-=l x+m y+n=0 intersect at the point P and make an angle theta with each other. Find the equation of a line different from L_2 which passes through P and makes the same angle theta with L_1dot

Find the equation of the straight line which passes through the origin and makes angle 60^0 with the line x+sqrt(3)y+sqrt(3)=0 .

Find the equation of the straight line which pass through the point (3,2) and make an angle of 45^(@) with the positive x axis.

Find the equation of the lines through the point (3, 2) which make an angle of 45^0 with the line x-2y=3 .

Find the equation of the lines through the point (3, 2) which make an angle of 45^(@) with the line x - 2y = 3 .

The tangent at any point P on the circle x^(2)+y^(2)=2 , cuts the axes at L and M. Find the equation of the locus of the midpoint L.M.

theta_1 and theta_2 are the inclination of lines L_1 and L_2 with the x-axis. If L_1 and L_2 pass through P(x_1,y_1) , then the equation of one of the angle bisector of these lines is

The lines L_1 :y-x =0 and L_2 : 2x+y =0 intersect the line L_3 : y+2 =0 at P and Q respectively. The bisector of the acute angle between L_1 and L_2 intersects L_3 at R Statement - 1 : The ratio PR : PQ equals 2sqrt2 : sqrt5 Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangle

P is a point equidistant from two lines l and m intersecting at point A (see figure). Show that the line AP bisects the angle between them.