Home
Class 12
MATHS
If alpha,beta,gamma be the angles which ...

If `alpha,beta,gamma` be the angles which a line makes with the coordinates axes, then

A

`cos(2alpha)+cos(2beta)+cos(2gamma)-1=0`

B

`cos(2alpha)+cos(2beta)+cos(2gamma)-2=0`

C

`cos(2alpha)+cos(2beta)+cos(2gamma)+1=0`

D

`cos(2alpha)+cos(2beta)+cos(2gamma)+2=0`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the direction cosines of a line which makes equal angles with the coordinate axes.

If alpha, beta and gamma are angles made by the line with positive direction direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

If alpha,beta,gamma are the zeroes of the given cubic polynomials, find the values of the expressions given in the table. Let us consider an example.

A line marks angles alpha, beta and gamma with the coordinate axes. If (alpha+beta)=90^(@) , then find gamma .

If a line makes angles alpha,beta and gamma with the positive direction of axes then show that, sin^2alpha+sin^2 beta sin^2 gamma=2

If alpha, beta, gamma are the roots of the cubic equation x^(3)+qx+r=0 then the find equation whose roots are (alpha-beta)^(2),(beta-gamma)^(2),(gamma-alpha)^(2) .

Let alpha, beta, gamma be distinct real numbers. The points with position vectors alpha hati + beta hatj +gamma hat k , beta hati + gamma hatj +alpha hat k , gamma hati +alpha hatj + beta hatk

If alpha, beta, gamma are the roots fo x^(3)-x^(2)+ax+b=0 and beta, gamma, delta are the roots of x^(3)-4x^(2)+mx+n=0 . If alpha, beta, gamma and delta are in AP with common difference d then

If vec(alpha), vec(beta),vec(gamma) are three non-collinear unit vectors such that vec(alpha)+2vec(beta)+3vec(gamma) is collinear with vec(beta)+vec(y) and vec(alpha)+2vec(beta) is collinear with vec(beta)-vec(gamma) , then 2vec(alpha).vec(beta)+6vec(alpha).vec(gamma) +3vec(beta).vec(gamma) equal to