lines `L_1:ax+by+c=0` and `L_2:lx+my+n=0` intersect at the point `P` and make a angle `theta` between each other. find the equation 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

Given equation of line L_1 is y = 4 Find the equation of L_2 .

Given equation of line L_1 is y = 4 Write the slope of line L_1 if L_2 is the bisector of angle O.

In Figure, lines l_1a n d\ L_2 intersect at O , forming angles as shown in the figure. If a=35^0, find the values of b ,\ c\ a n d\ d .

In Fig. 30, lines l_1\ a n d\ l_2 intersect at O , forming angles as shown in the figure. If x=45^0, find the values of y , z\ a n d\ udot

(i) Find the equation of line passing through (2,2) and makes an angle of 135^(@) from positive direction of X -axis. (ii) Find the equation of a line passing through the point (2,1) and makes an angle 'theta' from the positive direction of X -axis where cos theta=-(1)/(3) .

The direction cosines of the lines bisecting the angle between the line whose direction cosines are l_1, m_1, n_1 and l_2, m_2, n_2 and the angle between these lines is theta , are

the lines L_1 and L_2 denoted by 3x^2 + 10xy +8y^2 +14x +22y + 15 = 0 intersect at the point P and have gradients M_1 and M_2 respectively.The acute angles between them is theta . which of the following relations hold good ?

Given equation of line L_(1) is y = 4 and line L2 is the bisector of angle O. Write the coordinates of point P.

P is a point equidistant from two lines l and m intersecting at a point A , Show that A P bisects the angle between them.