Home
Class 12
MATHS
A line makes angles alpha,betaa n dgamma...

A line makes angles `alpha,betaa n dgamma` with the coordinate axes. If `alpha+beta=90^0,` then find `gammadot`

Text Solution

Verified by Experts

Here `cos^(2)alpha+cos^(2)(90-alpha)+cos^(2)gamma=1`
or `" "cos^(2)alpha+sin^(2)alpha+cos^(2)gamma=1`
or`" "cos^(2)gamma+1=1 or gamma=90^(@)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.2|15 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.3|19 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

If a line makes angles alpha,betaa n dgamma with three-dimensional coordinate axes, respectively, then find the value of cos2alpha+cos2beta+cos2gammadot

If the line makes angles alpha, beta, gamma, delta with four diagonals of a cube, then the value of cos^(2) alpha+cos^(2) beta+cos^(2) gamma+cos^(2) delta is equal to m/3 . Find m.

A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a cube. Show that cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4//3.

A straight line L makes angles alpha, beta, gamma and delta with the four diagonals of a cube, prove that, sin^(2)alpha+sin^(2) beta+sin^(2) gamma+sin^(2) delta =4/3

If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off Intercepts alpha and beta on the coordinate axes, (where alpha^2+beta^2=61) then the value of a is

Find the direction ratios of a straight line which makes equal angles with the coordinate axes. How many such straight line are there?

If alpha,beta,gamma are the roots of x^3+ax+b =0, then the value of alpha^3+beta^3+gamma^3

If alpha,beta,a n dgamma are the angles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of sin^2alpha+sin^2beta+sin^2gammadot

If alpha,beta,a n dgamma are the an gles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of sin^2alpha+sin^2beta+sin^2gammadot