TS EAMCET · Maths · Three Dimensional Geometry
Let \(\mathrm{D}\) be the foot of the perpendicular drawn from the point \(\mathrm{A}(2,0,3)\) to the line joining the points \(\mathrm{B}(0,4,1)\) and \(\mathrm{C}(-2,0,4)\). Then the ratio in which \(\mathrm{D}\) divides \(\mathrm{BC}\) is
- A \(3: 2\)
- B \(2 \sqrt{6}: \sqrt{17}\)
- C \(18: 11\)
- D \(16: 9\)
Answer & Solution
Correct Answer
(C) \(18: 11\)
Step-by-step Solution
Detailed explanation
Equation of line through \(\mathrm{B}(0,4,1)\) and \(\mathrm{C}(-2,0,4)\)…
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
- Let \(f\) be a non-zero real valued continuous function satisfying \(f(x+y)=f(x) \cdot f(y)\) for all \(x, y \in \mathbb{R}\). If \(f(2)=9\), then \(f(6)\) is equal toTS EAMCET 2013 Easy
- If the lines joining the origin to the points of intersection of the line \(x+y=k\) and the curve \(x^2+y^2-2 x-4 y+2=0\) are at right angles then the sum of all the possible values of \(k\) isTS EAMCET 2022 Medium
- The semi vertical angle of a right circular cone is \(30^{\circ}\). If the height of the cone is \(6.125 \mathrm{~cm}\), then the approximate value of the volume of the cone (in cubic \(\mathrm{cm}\) ) isTS EAMCET 2021 Easy
- The binomial coefficients which are in decreasing order areTS EAMCET 2004 Easy
- If \(f: R \rightarrow C\) is defined by \(f(x)=e^{2 i x}\) for \(x \in R\), then \(f\) is (where \(C\) denotes the set of all complex numbers)TS EAMCET 2008 Medium
- The solution set contained in \(R\) of the inequation \(3^x+3^{1-x}-4 < 0\), is :TS EAMCET 2003 Easy
More PYQs from TS EAMCET
- Two players A and B alternatively toss 3 . coins simultaneously. The player who gets 2 heads and 1 tail first, wins the game. If game continues until someone wins and if \(A\) begins the game, the probability that \(B\) wins the game isTS EAMCET 2023 Medium
- The equations of motion of a projectile are given by \(x=36 t\) metre and \(2 y=96 t-9.8 t^2\) metre. The angle of projection is :TS EAMCET 2003 Medium
- The set of values of \(\alpha\) such that \(f: \mathbf{R} \rightarrow\left[0, \frac{\pi}{2}\right)\) defined by \(f(x)=\tan ^{-1}\left(x^2+x+\alpha^2\right)\) is onto isTS EAMCET 2020 Easy
- If the variance of the numbers \(9,15,21, \ldots .,(6 n+3)\) is P, then the variance of the first \(n\) even numbers isTS EAMCET 2025 Hard
- \(\mathbf{l}, \mathbf{m}, \mathbf{n}\) are three unit vectors in a right handed system and \(L\) is a line through the points \(A, B, C\) whose position vectors are \(p \mathbf{l}+7 \mathbf{m}-6 \mathbf{n}, 2 \mathbf{l}+5 \mathbf{m}-4 \mathbf{n}\) and \(\mathbf{l}+4 \mathbf{m}-3 \mathbf{n}\) respectively. If the equation of the plane containing \(L\) and the points \((-p, p, p+1)\) is \(a x+b y+c z=1\), then \(p(a+b+c)=\)TS EAMCET 2020 Medium
- For \(|x| < \frac{1}{2}\), if the coefficient of \(x^{10}\) and the constant term in the expansion of \(\frac{2 x^3+8 x^2-2 x-2}{(1-x)(1+x)(1-2 x)}\) in powers of \(x\) are \(l\) and \(m\) respectively, then \(1 m=\)TS EAMCET 2020 Hard