AP EAMCET · Maths · Three Dimensional Geometry
If a line makes angles \(\alpha, \beta, \gamma\) and \(\delta\) with the four diagonals of a cube, then the value of \(\sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma+\sin ^2 \delta\) is
- A \(\frac{4}{3}\)
- B \(\frac{8}{3}\)
- C \(\frac{7}{3}\)
- D \(\frac{5}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{8}{3}\)
Step-by-step Solution
Detailed explanation
Given that, line makes angles \(\alpha, \beta, \gamma, \delta\) with the four diagonals of a cube, then we know that…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\lim _{x \rightarrow \infty}\left(\frac{x+5}{x+2}\right)^{x+3}\) equalsAP EAMCET 2009 Medium
- The equation of the locus of \(z\) such that \(\left|\frac{z-i}{z+i}\right|=2\), where \(z=x+i y\) is a complex number, isAP EAMCET 2006 Hard
- Two persons A and B throw three unbiased dice one after the another. If A gets the sum 13 , then the probability that \(B\) gets higher sum isAP EAMCET 2024 Easy
- The position vectors of \(P\) and \(Q\) are respectively \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\). If \(\mathrm{R}\) is a point on \(\overrightarrow{\mathrm{PQ}}\) such that \(\overrightarrow{\mathrm{PR}}=5 \overrightarrow{\mathrm{PQ}}\), then the position vector of \(R\) isAP EAMCET 2008 Medium
- If the pair of lines \(a x^2-7 x y-3 y^2=0\) and \(2 x^2+x y-6 y^2=0\) have exactly one line in common and ' \(a\) ' is an integer, then the equation of the pair of bisectors of the angles between the lines \(a x^2-7 x y-3 y^2=0\) isAP EAMCET 2025 Hard
- If \(f(x)=5 \cos ^3 x-3 \sin ^2 x\) and \(g(x)=4 \sin ^3 x+\cos ^2 x\), then the derivative of \(f(x)\) with respect to \(g(x)\) isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If the pair of straight line given by \(A x^2+2 H x y+B y^2=0\), where \(\left(H^2>A B\right)\), forms an equilateral triangle with the line \(a x+b y+c=0\), then \((A+3 B)(3 A+B)=\)AP EAMCET 2020 Hard
- Which one of the following reactions does not take place?AP EAMCET 2018 Medium
- \(\int_{\pi / 6}^{\pi / 3} \frac{1}{1+\sqrt{\cot x}} d x=\)AP EAMCET 2020 Medium
- Find the angle between the pair of lines represented by the equation .AP EAMCET 2021 Medium
- If has a turning point then the values of and areAP EAMCET 2020 Medium
- \(18.4 \mathrm{~g} \mathrm{~N}_2 \mathrm{O}_4\) was placed in \(1 \mathrm{~L}\) vessel at \(400 \mathrm{~K}\) and allowed to attain the following equilibrium \(\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons 2 \mathrm{NO}_2(g)\).
If the total pressure at equilibrium was 10.64 bar, approximate \(K_p\) is \((R=0.083 \mathrm{~L}\) bar \(\mathrm{K}^{-1} \mathrm{~mol}^{-1}\) ) (Assume \(\mathrm{N}_2 \mathrm{O}_4, \mathrm{NO}_2\) as ideal gases)AP EAMCET 2019 Medium