TS EAMCET · Maths · Three Dimensional Geometry
\(X O Z\)-plane divides the join of \((2,3,1)\) and \((6,7,1)\) in the ratio:
- A \(3: 7\)
- B \(2: 7\)
- C \(-3: 7\)
- D \(-2: 7\)
Answer & Solution
Correct Answer
(C) \(-3: 7\)
Step-by-step Solution
Detailed explanation
Let \(X O Z\)-plane divides the joining the point \((2,3,1)\) and \((6,7,1)\) into \(m: n\), then the co-ordinate of \(X O Z\)-plane is \(\left(\frac{m x_2+n x_1}{m+n}, \frac{m y_2+n y_1}{m+n}, \frac{m z_2+n z_1}{m+n}\right)\)…
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
- \(\sinh (\log (3+\sqrt{8}))=\)TS EAMCET 2023 Medium
- The lengths of tangent, subtangent, normal and subnormal for the curve \(y=x^2+x-1\) at \((1,1)\) are \(A, B, C\) and \(D\) respectively, then their increasing order isTS EAMCET 2007 Easy
- The point to which the origin is to be shifted by translation of axes so that the transformed equation of \(y^2+4 y+8 x-2=0\) will not contain \(y\) term and constant term isTS EAMCET 2022 Medium
- \(\text { If } \tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\frac{\pi}{2}\)
then \(1-x y-y z-z x\) is equal toTS EAMCET 2010 Medium - \(\vec{b}=\hat{i}-\hat{j}+2 \hat{k}, \vec{c}=\hat{i}+2 \hat{j}-\hat{k}\) are two vectors and \(\vec{a}\) is a vector such that \(\cos (\vec{a}, \vec{b} \times \vec{c})=\sqrt{\frac{2}{3}}\). If \(\vec{a}\) is a unit vector, then \(|\vec{a} \times(\vec{b} \times \vec{c})|=\)TS EAMCET 2024 Hard
- A fair coin is tossed 100 times. The probability of getting tails an odd number of times isTS EAMCET 2012 Medium
More PYQs from TS EAMCET
- In an isosceles triangle the ends of its base are \((2 a, 0)\), \((0, a)\) and one of its two other sides is a horizontal line other \(\mathrm{X}\)-axis. If the third vertex is \(\left(x_1, y_1\right)\) then \(x_1+y_1=\)TS EAMCET 2022 Easy
- If the magnitudes of \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{a}+\mathbf{b}\) are respectively 3,4 and 5 , then the magnitude of \((\mathbf{a}-\mathbf{b})\) isTS EAMCET 2017 Easy
- If \(p\) and \(q\) are distinct prime numbers and if the equation \(x^2-p x+q=0\) has positive integers as its roots, then the roots of the equation areTS EAMCET 2014 Easy
- If \(\omega\) is a complex cube root of unity, then \(\sin \left\{\left(\omega^{10}+\omega^{23}\right) \pi-\frac{\pi}{4}\right\}\) is equal toTS EAMCET 2008 Medium
- Two dice are rolled. If a random variable \(X\) denotes the sum of the numbers on them and \(\mu\) denotes the mean of \(X\), then \(\mu+P(X < 5)+P(X>9)+P(x=7)=\)TS EAMCET 2019 Medium
- If \(A=\left[\begin{array}{ccc}1 & 0 & 1 \\ 0 & 2 & 0 \\ 1 & -1 & 4\end{array}\right], \quad A=B+C, B=B^T\) and \(C=-C^T\), then \(C=\)TS EAMCET 2017 Easy