TS EAMCET · Maths · Three Dimensional Geometry
In \(\triangle A B C\) the mid points of the sides \(A B, B C\) and \(C A\) are respectively \((l, 0,0),(0, m, 0)\) and \((0,0, n)\). Then, \(\frac{A B^2+B C^2+C A^2}{l^2+m^2+n^2}\) is equal to
- A \(2\)
- B \(4\)
- C \(8\)
- D \(16\)
Answer & Solution
Correct Answer
(C) \(8\)
Step-by-step Solution
Detailed explanation
From the figure, \( \begin{gathered} x_1+x_2=2 l, y_1+y_2=0, z_1+z_2=0, \\ x_2+x_3=0, y_2+y_3=2 m, z_2+z_3=0 \\ \text { and } \quad x_1+x_3=0, y_1+y_3=0, z_1+z_3=2 n \end{gathered} \) On solving, we get…
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 angle between the curves \(y^2=4 x+4\) and \(y^2=36(9-x)\) isTS EAMCET 2008 Medium
- Let \(A B C\) be a triangle with \(A(\alpha, 5, \beta)\), \(B(-2,1,6)\) and \(C(1,0,-3)\) as its vertices. If the median through \(B\) is equally inclined to the coordinate axes, then \(\alpha+\beta=\)TS EAMCET 2019 Medium
- An urn contains five balls. Two balls are drawn at random and they are found to be white. The probability that all the balls in the urn are white, isTS EAMCET 2020 Medium
- The maximum interval in which the slopes of the tangents drawn to the curve \(y=x^4+5 x^3+9 x^2+6 x+2\) increase isTS EAMCET 2024 Easy
- If \(y=a \cos (\sin 2 x)+b \sin (\sin 2 x)\), then \(y^{\prime \prime}+(2 \tan 2 x) y^{\prime}\) is equal toTS EAMCET 2016 Medium
- If the line \(3 x+4 y+\lambda=0\) divides the distance between the lines \(3 x+4 y+5=0\) and \(3 x+4 y-5=0\) in the ratio of \(3: 7\), then a value of \(\lambda\) isTS EAMCET 2019 Medium
More PYQs from TS EAMCET
- Area of the region (in square units) bounded by the curve \(y=x^2+4\) and the line \(y=5 x-2\) isTS EAMCET 2019 Easy
- If \(\frac{(1+i) x-i}{2+i}+\frac{(1+2 i) y+i}{2-i}=1\), then \((x, y)\) is equal toTS EAMCET 2013 Easy
- What is the \% strength of 22.4 volume of \(\mathrm{H}_2 \mathrm{O}_2\) solution?TS EAMCET 2020 Medium
- A constant torque acting on a uniform circular wheel changes its angular momentum from \(\mathrm{A}_0\) to \(4 \mathrm{~A}_0\) in 4 seconds. The magnitude of the torque isTS EAMCET 2023 Easy
- At \(T(K), K_c\) for the reaction \(\mathrm{AO}_2(\mathrm{~g})+\mathrm{BO}_2(\mathrm{~g}) \rightleftharpoons \mathrm{AO}_3(\mathrm{~g})+\mathrm{BO}(\mathrm{g})\) is 16 . One mole each of reactants and products are taken in a 1 L flask and heated to \(T(K)\), and equilibrium is established. What is the equilibrium concentration of BO (in \(\mathrm{mol} \mathrm{L}^{-1}\) )?TS EAMCET 2024 Medium
- The tension in a massless cable connected to an iron ball of \(100 \mathrm{~kg}\) when it is submerged in sea water is \(\left\langle\rho_{\text {iron }}=8 \times 10^3 \mathrm{~kg} / \mathrm{m}^3\right.\) and \(\rho_{\text {sea watex }}=1000 \mathrm{~kg} / \mathrm{m}^3, g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2019 Medium