AP EAMCET · Maths · Three Dimensional Geometry
The shortest distance between the line passing through the point \(\bar{i}+2 \bar{j}+3 \bar{k}\) and parallel to the vector \(2 \bar{i}+3 \bar{j}+4 \bar{k}\) and the line passing through the point \(2 \bar{i}+4 \bar{j}+5 \bar{k}\) and parallel to the vector \(3 \bar{i}+4 \bar{j}+5 \bar{k}\), is
- A 9
- B \(\frac{1}{\sqrt{6}}\)
- C 1
- D \(\sqrt{6}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{\sqrt{6}}\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- The range of a random variable \(X\) is \(\{0,1,2\}\). If \(P(X=0)\) \(=3 \mathrm{C}^3, \mathrm{P}(\mathrm{X}=1)=4 \mathrm{C}-10 \mathrm{C}^2\) and \(\mathrm{P}(\mathrm{X}=2)=5 \mathrm{C}-1\), then the value of \(\mathrm{C}\) isAP EAMCET 2023 Medium
- From a point P on the circle \(\mathrm{x}^2+\mathrm{y}^2=4\), two tangents are drawn to the circle \(x^2+y^2-6 x-6 y+14=0\). If \(A\) and \(B\) are the points of contact of those lines, then the locus of the centre of the circle passing through the points \(\mathrm{P}, \mathrm{A}\) and B isAP EAMCET 2025 Hard
- The radical axis of the co-axial system of circles with limiting points \((1,2)\) and \((-2,1)\) isAP EAMCET 2020 Medium
- \(\int \frac{\sin 2 x d x}{\sin ^4 x+\cos ^4 x}=\tan ^{-1}(f(x))+c\), then \(f\left(\frac{\pi}{3}\right)=\)AP EAMCET 2018 Medium
- The mean deviation from the median for the following distribution (corrected to two decimals) is
\begin{array}{lllllllll}
\hline \boldsymbol{x}_{\boldsymbol{i}} & 6 & 9 & 3 & 12 & 15 & 13 & 21 & 22 \\
\hline \boldsymbol{f}_{\boldsymbol{i}} & 4 & 5 & 3 & 2 & 5 & 4 & 4 & 3 \\
\hline
\end{array}AP EAMCET 2018 Easy - \(\mathrm{A}(2,1,2), \mathrm{B}(1,0,0), C(1+\sqrt{3}, \sqrt{3},-\sqrt{6})\) are vertices of a triangle. If the length of the median drawn through \(\mathrm{A}\) is \(\lambda \sqrt{9-2 \sqrt{3}+2 \sqrt{6}}\) then \(\lambda=\)AP EAMCET 2022 Medium
More PYQs from AP EAMCET
- \(\triangle \mathrm{ABC}\) is formed by \(\mathrm{A}(1,8,4), \mathrm{B}(0,-11,4)\) and \(C(2,-3,1)\). If \(D\) is the foot of the perpendicular drawn from \(\mathrm{A}\) to \(\mathrm{BC}\), then the coordinates of \(\mathrm{D}\) areAP EAMCET 2023 Easy
- Consider the following standard electrode potentials ( \(\mathrm{E}^0\) in volts) in aqueous solution

Based on this data, which of the following statements is correct?AP EAMCET 2024 Medium - Equation of the plane passing through the intersection of the lines \(\frac{x-1}{1}=\frac{y-2}{2}=\frac{z-5}{-3}\) and \(\frac{x+5}{3}=\frac{y-4}{-1}=\frac{z+3}{4}\) and parallel to the \(x y\)-plane isAP EAMCET 2020 Easy
- Match the following.

Codes
\(\begin{array}{llll}A & B & C & D\end{array}\)AP EAMCET 2021 Medium - A Circle S passes through the points of intersection of the circles \(x^2+y^2-2 x+2 y-2=0\) and \(x^2+y^2+2 x-2 y+1=0\). If the centre of this circle S lies on the line \(x-y+6=0\), then the radius of the circle \(S\) isAP EAMCET 2024 Easy
- The component of vector \(\overrightarrow{\mathbf{A}}=a_x \hat{\mathbf{i}}+a_y \hat{\mathbf{j}}+a_z \hat{\mathbf{k}}\) along the direction of \(\hat{\mathbf{i}}-\hat{\mathbf{j}}\) isAP EAMCET 2008 Easy