AP EAMCET · Maths · Three Dimensional Geometry
The coordinates of the point which divides the line joining the points \((2,3,4)\) and \((3,-4,7)\) in the ratio \(2: 4\) externally is
- A \((10,1,1)\)
- B \((1,10,1)\)
- C \((10,-10,10)\)
- D \((1,1,10)\)
Answer & Solution
Correct Answer
(B) \((1,10,1)\)
Step-by-step Solution
Detailed explanation
Coordinates of the point which divides the line joining the points \((2,3,4)\) and \((3,-4,7)\) in the ratio \(2: 4\) externally \[ \begin{aligned} & =\left(\frac{2(3)-4(2)}{2-4}, \frac{2(-4)-4(3)}{2-4}, \frac{2(7)-4(4)}{2-4}\right) \\ & =(1,10,1) \end{aligned} \]
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 general solution of the differential equation \(y+\cos x\left(\frac{d y}{d x}\right)-\cos ^2 x=0\) isAP EAMCET 2025 Medium
- Let \(A\) and \(B\) be events in a sample space \(S\) such that \(P(A)=0.5, \quad P(B)=0.4\) and \(P(A \cup B)=0.6\). Observe the following lists.
The correct match of List I from List II is
(i) (ii) (iii) (iv)AP EAMCET 2011 Medium - If \(f: R-\left\{\frac{3}{7}\right\} \rightarrow R-\left\{\frac{3}{7}\right\}\) is given by \(f(x)=\frac{3 x+5}{7 x-3}\), then the statement which is not true, isAP EAMCET 2019 Medium
- The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line \(x=3\) isAP EAMCET 2009 Medium
- \(f(x)\) is an \(n^{\text {th }}\) degree polynomial satisfying \(f(x)=\frac{1}{2}\left|\begin{array}{cc}f(x) & f\left(\frac{1}{x}\right)-f(x) \\ 1 & f\left(\frac{1}{x}\right)\end{array}\right|\). If \(f(2)=33\), then the value of \(f(3)\) isAP EAMCET 2025 Hard
- \(\lim _{x \rightarrow 0} \frac{\tan (x)+4 \tan (2 x)-3 \tan (3 x)}{x^2 \tan (x)}\) is equal toAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- \(f(x)\) is a quadratic expression such that \(f(x)\) is negative when \(x \in\left(-\infty,-\frac{5}{3}\right) \cup(3, \infty)\) and positive when \(x \in\left(-\frac{5}{3}, 3\right) \cdot g(x)\) is another quadratic expression such that \(g(x)\) is negative when \(x \in\left(3, \frac{9}{2}\right)\) and positive when \(x \in R-\left[3, \frac{9}{2}\right]\). Then, the sign of \(f(x) g(x)\) in \([0,5]\) isAP EAMCET 2018 Medium
- If the average number of accidents occuring at a particular junction on a highway in a week is 5, then the probability that atmost one accident occurs in a particular week isAP EAMCET 2025 Medium
- If and are the vertices of , then the equation of perpendicular bisector of the side isAP EAMCET 2021 Medium
- Ferrous ion charges to \(X\) ion, on reacting with acidified hydrogen peroxide.
The number of \(d\)-electrons present in \(X\) and its magnetic moment (in BM) are, respectively :AP EAMCET 2003 Easy - Number of different bonds present in \(\mathrm{P}_4 \mathrm{O}_{10}\) isAP EAMCET 2020 Easy
- The area of the region (in sq. units) enclosed by the curve \(y=x^3-19 x+30\) and the \(x\)-axis isAP EAMCET 2024 Easy