Home
Class 12
MATHS
Statement 1: The direction cosines of ...

Statement 1: The direction cosines of one of the angular bisectors of two intersecting line having direction cosines as `l_1,m_1, n_1a n dl_2, m_2, n_2` are proportional to `l_1+l_2,m_1+m_2, n_1+n_2`
Statement 2: The angle between the two intersection lines having direction cosines as `l_1,m_1, n_1a n dl_2, m_2, n_2` is given by `costheta=l_1l_2+m_1m_2+n_1n_2`
(a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1.
(a) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1.
(c) Statement 1 is correct but Statement 2 is not correct.
(d) Statement 2 is correct but Statement 1 is not correct.

Promotional Banner

Similar Questions

Explore conceptually related problems

The direction cosines of a line equally inclined to three mutually perpendiclar lines having direction cosines as l_(1),m_(1),n_(1),l_(2),m_(2),n_(2) and l_(3), m_(3),n_(3) are

Find the angle between the line whose direction cosines are given by l+m+n=0a n d2l^2+2m^2-n^2-0.

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0a n d2lm+2n l-m n=0.

Consider: L_1:2x+3y+p-3=0 L_2:2x+3y+p+3=0 where p is a real number and C : x^2+y^2+6x-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

The line 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 P R"":""R Q equals 2sqrt(2):""sqrt(5) Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true

If the direction cosines of a variable line in two adjacent points be l, M, n and l+deltal,m+deltam+n+deltan the small angle deltatheta as between the two positions is given by

The direction cosines of two lines are connected by relation l+m+n=0 and 4l is the harmonic mean between m and n. Then,

If l_1,m_1,n_1 and l_2,m_2,n_2 are the direction cosines of two mutually perpendicular lines, show that the direction cosines of the line perpendicular to both of these are m_1n_2 - m_2n_1, n_1l_2 -n_2l_1, l_1m_2 -l_2m_1

If 1/2,1/3,n are the direction cosines of a line , then the value of n is

If 1/2, 1/3, n are the direction cosines of a line , then the values of n is