Lines `L_1` and `L_2` have slopes m and n, respectively, suppose `L_1` makes twice as large angle with the horizontal (mesured counter clockwise from the positive x-axis as does `L_2` and `L_1` has 4 times the slope of `L_2`. If `L_1` is not horizontal, then the value of the proudct mn equals.

The equations of L_(1) and L_(2) are y=mx and y=nx, respectively.Suppose L_(1) make twice as large of an angle with the horizontal (measured counterclockwise from the positive x-axis) as does L_(2) and that L_(1) has 4 xx the slope of L_(2). If L_(1) is not horizontal, then the value of the product (mn) equals:

The eqautions of lines L_(1) and L_(2) are y=mx and y=nx , respectively. Suppose L_(1) makes twice as large an angle with the horizontal (measured counterclockwise from the positive x - axis) as does L_(2) and m = 4n, then the value of ((m^(2)+4n^(2)))/((m^(2)-6n^(2))) is equal to (where, n ne 0 )

The eqautions of lines L_(1) and L_(2) are y=mx and y=nx , respectively. Suppose L_(1) makes twice as large an angle with the horizontal (measured counterclockwise from the positive x - axis) as does L_(2) and m = 4n, then the value of ((m^(2)+4n^(2)))/((m^(2)-6n^(2))) is equal to (where, n ne 0 )

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 the given figure, Given equation of line L_(1) is y = 4. Write the slope of line L_(2)" if "L_(2) is the bisector of angle O.

The slope of a line ' L_1 ' making an angle 135° with direction of the positive direction of x-axis is……

The slope of the line that bisects the angle formed by the lines l_(1) and l_(2) if l_(1) has a slope of 2 and l_(2) is a vertical line can be

consider three congerging lenses L_1, L_2 and L_3 having identical geometrical construction. The index of refraction of L_1 and L_2 are mu_1 and mu_2 respectively. The upper half of the lens L_3 has a refractive index mu_1 and the lower half has mu_2 . A point object O is imaged at O_1 by the lens L_1 and at O_2 by the lens L_2 placed in same position . If L_2 is placed at the same place.

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

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