AP EAMCET · Maths · Three Dimensional Geometry
If a line makes angles \(\tan ^{-1} \sqrt{7}, \tan ^{-1} \frac{\sqrt{5}}{\sqrt{3}}\) with \(X\)-axis, \(Y\)-axis respectively, then the angle made by it with \(Z\)-axis is
- A \(\frac{\pi}{2}\)
- B \(\frac{\pi}{6}\) or \(\frac{5 \pi}{6}\)
- C \(\frac{\pi}{3}\) or \(\frac{2 \pi}{3}\)
- D \(\frac{\pi}{4}\) or \(\frac{3 \pi}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{\pi}{4}\) or \(\frac{3 \pi}{4}\)
Step-by-step Solution
Detailed explanation
A line makes angle \(\tan ^{-1} \sqrt{7}\) and \(\tan ^{-1} \frac{\sqrt{5}}{\sqrt{3}}\) with \(X\)-axis and \(Y\)-axis respectively. So, Sc…
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
- Which among the following represents the combined equation of a pair of lines through point \((1,0)\) and parallel to the lines represented by \(2 x^2-x y-y^2=0\).AP EAMCET 2021 Medium
- The number of 5-letter words that can be formed by using the letters of the word SARANAM isAP EAMCET 2018 Easy
- Let \(x+y=k\) be a normal to the parabola \(y^2=12 x\). If \(p\) is length of the perpendicular from the focus of the parabola onto this normal, then \(4 k-2 p^2\) is equal toAP EAMCET 2012 Medium
- Locus of the centroid of a triangle whose vertices are \((1,0) .(a \cos t, a \sin t)\), \((b \sin t,-b \cos t)\) is \(9 x^2+9 y^2-6 x=k\). Then, the value of \(k\) is equal toAP EAMCET 2020 Easy
- The solution set of the inequation \(\sqrt{x^2+6 x+5}>(8-x)\) isAP EAMCET 2018 Easy
- If the equation of the tangent drawn at \((h, k)\) to the hyperbola \(\frac{(\mathrm{x}-1)^2}{1}-\frac{(\mathrm{y}-2)^2}{2}=1\) is \(\mathrm{x}=2\), then \(\mathrm{h}+\mathrm{k}=\)AP EAMCET 2023 Medium
More PYQs from AP EAMCET
- If \(0 < y < 2^{1 / 3}\) and \(x\left(y^3-1\right)=1\), then \(\frac{2}{x}+\frac{2}{3 x^3}+\frac{2}{5 x^5}+\ldots\) is equal to:AP EAMCET 2003 Medium
- The three sides of a triangle are given by \(\left(x^2+7 x y+2 y^2\right)(y-1)=0\). Then the centroid of that triangle isAP EAMCET 2017 Hard
- How many corners of \(\mathrm{SiO}_4\) units are shared in the formation of three dimensional silicates?AP EAMCET 2013 Easy
- Choose the correct option regarding the following statements:
StatementNitrogen has lesser electron gain enthalpy than oxygen.
Statement Oxygen has lesser ionization enthalpy than nitrogen.AP EAMCET 2021 Easy - Two blocks of masses ' \(M\) ' and ' \(m\) ' are placed on one another on a smooth horizontal surface as shown in the figure.
The force ' \(F\) ' is acting on the mass ' \(M\) ' horizontally during time interval ' \(t\) '. Assuming no relative sliding between the blocks, the work done by friction on the blocks is .......... .AP EAMCET 2017 Easy - Given below is the distribution of a random variable \(X\)
\(\begin{array}{ccccc}\mathbf{X}=\mathbf{x} & 1 & 2 & 3 & 4 \\ \mathbf{P}(\mathbf{X}=\mathbf{x}) & \lambda & 2 \lambda & 3 \lambda & 4 \lambda\end{array}\)
If \(\alpha=\mathrm{P}(X < 3)\) and \(\beta=\mathrm{P}(X>2)\), then \(\alpha: \beta=\)AP EAMCET 2017 Easy