A line makes the same angle , with each of the x and 2 axes. If the angle , which it…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
A line makes the same angle \(\theta\), with each of the \(\mathbf{x}\) and \(2\) axes. If the angle \(\beta\), which it makes with \(\mathbf{Y}\)-axis, is such that \(\sin ^{2} \beta=3 \sin ^{2} \theta\), then \(\cos ^{2} \theta\) is equal to
- \(\frac{2}{3}\)
- \(\frac{1}{5}\)
- \(\frac{3}{5}\)
- \(\frac{2}{5}\)
Answer
(C) 3 5
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines r =( i + j…
- Direction cosines of normal to the plane containing lines x=y=z and x -1= y -1= z -1 d (where d E R- 1 , are
- A line passes through a point A with p.v. 3 i + j - k and is parallel to the vector 2 i - j +2 k . If P is a…
- If the lines x+2 4 +1 = y-1 4 = z -18 and x -3 = y+1 5 -3 = z-1 6 are parallel to each other then the value…
- A tetrahedron has vertices P(1, 2, 1), Q(2, 1, 3), R(-1, 1, 2) and O(0, 0, 0). The angle between the faces…
- The distance of the point (2,0,-3) from the plane 5 x-12 y=0 is
- The equation of the plane passing through the points (3, 2, 2) and (1, 0 –1) and parallel to the line x-1 2 =…
- A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y =…
More Three Dimensional Geometry questions · Browse all practice questions