TS EAMCET · Maths · Three Dimensional Geometry
The image of the point \((2,4)\) with respect to the straight line \(2 x+3 y-6=0\) is
- A \(\left(-\frac{14}{13},-\frac{8}{13}\right)\)
- B \(\left(\frac{14}{13}, \frac{8}{13}\right)\)
- C \(\left(-\frac{2}{13},-\frac{4}{13}\right)\)
- D \(\left(-\frac{2}{7},-\frac{8}{7}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(-\frac{14}{13},-\frac{8}{13}\right)\)
Step-by-step Solution
Detailed explanation
Let the image of the point \(A(2,4)\) in the line mirror \(D E\) be \(C(\alpha, \beta)\). Then, \(A C\) is perpendicular to \(D E\). \(\therefore\) The coordinate of point \(B\) are \(\left(\frac{\alpha+2}{2}, \frac{\beta+4}{2}\right)\). Since, point \(B\) lies on the line…
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 \(x=a, y=b, z=c\) is the solution of the system of simultaneous linear equations \(x+y+z=4\), \(x-y+z=2, x+2 y+2 z=1\), then \(a b+b c+c a=\)TS EAMCET 2018 Hard
- If \(f:[2,3] \rightarrow R\) is defined by \(f(x)=x^3+3 x-2\), then the range \(f(x)\) is contained in the intervalTS EAMCET 2009 Easy
- If \(f(x)=\frac{2 x-3}{(x-2)(x-3)}\) is a real valued function then the value that \(f(x)\) does not take isTS EAMCET 2022 Hard
- \(\begin{aligned} & \frac{x^2+x+1}{(x-1)(x-2)(x-3)}=\frac{A}{x-1}+\frac{B}{x-2}+\frac{C}{x-3} \ & \Rightarrow A+C=\end{aligned}\)TS EAMCET 2011 Medium
- The line among the following which touches the parabola \(y^2=4 a x\), isTS EAMCET 2005 Medium
- If \(y=\operatorname{Sec}^{-1} x\), then \(\frac{d^2 y}{d x^2}=\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- Consider the statements
(I) If \(f(x)=\sin \left(\cot ^{-1}\left(\cos \left(\tan ^{-1} x\right)\right)\right)\), then
\(f(0)=\frac{1}{2}\)
(II) \(\sin \left(4 \tan ^{-1} \frac{1}{5}-\tan ^{-1} \frac{1}{239}\right)=1\)
Then the correct option among the following isTS EAMCET 2020 Hard - Find the heat required to make water of \(30^{\circ} \mathrm{C}\) from \(10 \mathrm{~g}\) of ice at \(0.0^{\circ} \mathrm{C}\). (Enthalpy of fusion of ice \(=33355 \mathrm{~J} \mathrm{~g}^{-1}, C_p\) of water \(=418 \mathrm{Jg}^{-1} \mathrm{~K}^{-1}\) )TS EAMCET 2019 Medium
- The equivalent capacitance between points and is
TS EAMCET 2022 Easy - The maximum number of orbitals present in \(n=4\) energy level of an atom and the maximum number of electrons with spin value \(+\frac{1}{2}\) in the same orbitals are
,respectively.TS EAMCET 2022 Easy - \(\frac{1+\tanh \frac{x}{2}}{1-\tanh \frac{x}{2}}\) is equal toTS EAMCET 2008 Medium
- Let the direction cosines of two lines satisfy the equations \(31+2 m+n=0\) and \(2 m n-3 n l+5 l m=0\). If \(\theta\) is the angle between these two lines, then \(\cos \theta=\)TS EAMCET 2023 Easy