Home
Class 12
MATHS
The equations of L1 and L2 are y = mx ...

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 times the slope of `L_2.` If `L_1` is not horizontal, then the value of the product `(mn)` equals:

A

` (sqrt(2))/(2) `

B

` -(sqrt(2))/(2) `

C

2

D

-2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos
  • STRAIGHT LINES

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|4 Videos
  • SOLUTION OF TRIANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|13 Videos
  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

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:

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 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 )

Questions based on L1 and L2

Questions based on L1-L2

The area of triangle formed by the lines l_1 and l_2 and the x-axis is:

In Fig., there are two convex lenses L_1 and L_2 having focal lengths F_1 and F_2 respectively. The distance between L_1 and L_2 will 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.

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