TS EAMCET · Maths · Three Dimensional Geometry
A straight line is equally inclined to all the three coordinate axes. Then, an angle made by the line with the \(y\)-axis is
- A \(\cos ^{-1}\left(\frac{1}{3}\right)\)
- B \(\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)\)
- C \(\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)\)
Step-by-step Solution
Detailed explanation
Since, a line is equally inclined to the coordinate axes. \(\begin{array}{ll}\therefore & l-m=n \\ \because & l^2+m^2+n^2=1 \\ \Rightarrow & 3 l^2=1 \\ \Rightarrow & l= \pm \frac{1}{\sqrt{3}}\end{array}\) \(\therefore\) Angle made by line with \(y\)-axis…
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
- If the coefficients \(a\) and \(b\) of a quadratic expression \(x^2+a x+b\) are chosen from the sets \(A=\{3,4,5\}\) and \(B=\{1,2,3,4\}\) respectively, then the probability that the equation \(x^2+a x+b=0\) has real roots isTS EAMCET 2020 Easy
- The set of solutions satisfying both \(x^2+5 x+6 \geq 0\) and \(x^2+3 x-4 < 0\) isTS EAMCET 2013 Medium
- \(A\) and \(B\) are two non square matrices. If \(P=A+B, Q=A^T B, R=A B^T\), then the matrices whose order is equal to the order of A areTS EAMCET 2025 Medium
- \(\int \sqrt{4 \cos ^2 x-5 \sin ^2 x} \cos x d x=\)TS EAMCET 2022 Medium
- Bag contains red and black balls. Bag II contains red and black balls. If one ball is drawn at random from one of the bags, and it is found to be red, then the probability that it was drawn from Bag , isTS EAMCET 2019 Easy
- A diagnostic test has the probability 0.95 of giving a positive result when applied to a person suffering from a certain disease and a probability 0.10 of giving a positive result when given to a non-sufferer. It is estimated that \(0.5 \%\) of the population are suffering from the disease. If this test is now administered to a person from this population about whom there is no information relating to the incidence of this disease and the test gives a positive result, then the probability that he is a sufferer, isTS EAMCET 2020 Medium
More PYQs from TS EAMCET
- An ideal gas in a closed container is heated so that the final rms speed of the gas particles increases by 2 times the initial rms speed. If the initial gas temperature is \(27^{\circ} \mathrm{C}\), then the final temperature of the ideal gas is :TS EAMCET 2019 Easy
- In a triangle if thenTS EAMCET 2021 Medium
- If a line \(a x+2 y=k\) forms a triangle of area 3 sq. units with the coordinate axis and is perpendicular to the line \(2 x-3 y+7=0\), then the product of all the possible values of \(\mathrm{k}\) isTS EAMCET 2023 Medium
- Three logic gates are connected as shown in the figure. If the inputs are \(A=1\) and \(B=1\), then the values of \(y_1\) and \(y_2\) respectively are
TS EAMCET 2024 Easy - \(\lim _{n \rightarrow \infty} \frac{1}{n^3} \sum_{k=1}^n\left(k^2 x\right)=\)TS EAMCET 2023 Hard
- A simple harmonic oscillator consists of a particle of mass \(m\) and an ideal spring with spring constant \(k\). The particle oscillates with a time period \(T\). The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will beTS EAMCET 2011 Medium