Home
Class 12
MATHS
Lines L1 and L2 have slopes m and n, res...

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.

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

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos
  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|4 Videos
  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|11 Videos
  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

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.

Consider three converging 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_3 is placed at the same place.

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

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

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

l_1 and l_2 are the side lengths of two variable squares S_1, and S_2 , respectively. If l_1=l_2+l_2^3+6 then rate of change of the area of S_2 , with respect to rate of change of the area of S_1 when l_2 = 1 is equal to

Two lines L_(1) and L_(2) of slops 1 are tangents to y^(2)=4x and x^(2)+2y^(2)=4 respectively, such that the distance d units between L_(1) and L _(2) is minimum, then the value of d is equal to

If the lines L_1 and L_2 are tangents to 4x^2-4x-24 y+49=0 and are normals for x^2+y^2=72 , then find the slopes of L_1 and L_2dot