AP EAMCET · Maths · Straight Lines
If \(4 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}\) are respectively the position vectors of the vertices \(A, B, C\) of \(\triangle A B C\), then the position vector of the point where the bisector of angle \(A\) meet \(\mathbf{B C}\) is
- A \(2 \hat{\mathbf{i}}+\frac{13}{3} \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\)
- B \(2 \hat{\mathbf{i}}-\frac{13}{3} \hat{\mathbf{j}}+6 \hat{\mathbf{k}}\)
- C \(2 \hat{\mathbf{i}}+13 \hat{\mathbf{j}}+6 \hat{\mathbf{k}}\)
- D \(2 \hat{\mathbf{i}}+\frac{13}{3} \hat{\mathbf{j}}+6 \hat{\mathbf{k}}\)
Answer & Solution
Correct Answer
(D) \(2 \hat{\mathbf{i}}+\frac{13}{3} \hat{\mathbf{j}}+6 \hat{\mathbf{k}}\)
Step-by-step Solution
Detailed explanation
As we know bisector of angle \(A\) divides the \(B C\) in ratio \(c: b\). where \(c\) is length of side \(A B=\sqrt{4+16+16}=6\) and \(b\) is length of side \(A C=\sqrt{4+4+1}=3\) \(\therefore\) Position vector of the point where the bisector of angle \(A\) meet \(\mathbf{B C}\)…
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 product of the perpendicular distances drawn from any point on the hyperbola \(\frac{x^2}{9}-\frac{y^2}{4}=1\) to its asymptotes isAP EAMCET 2017 Hard
- \(\int_0^\pi \frac{x \sin x}{1+\cos ^2 x} d x=\)AP EAMCET 2017 Easy
- Gas is being pumed into a spherical balloon at the rate of \(30 \mathrm{ft}^3 / \mathrm{min}\). The rate at which the radius increase when it reaches the value \(15 \mathrm{ft}\), is :AP EAMCET 2003 Medium
- \(\cot \left[\sum_{n=3}^{32} \cot ^{-1}\left(1+\sum_{k=1}^n 2 k\right)\right]=\)AP EAMCET 2019 Medium
- The vector \(\mathbf{x}\) is perpendicular to the vectors \(\mathbf{a}=3 \hat{i}+2 \hat{j}+2 \hat{k}, \mathbf{b}=18 \hat{i}-22 \hat{j}-5 \hat{k}\) and make an obtuse angle with \(\hat{j}\). If \(|\mathbf{x}|=14\), then \(\mathbf{x}=\)AP EAMCET 2022 Easy
- If \(\lim _{n \rightarrow \infty} x_n\) exists and is finite, \(x_1=2, x_{n+1}=\frac{a+b x_n}{b+c x_n} \forall n \in N\) and \(\mathrm{c}>\mathrm{b}>\mathrm{a}>\mathrm{o}\) then \(\lim _{n \rightarrow \infty} x_n=\)AP EAMCET 2022 Medium
More PYQs from AP EAMCET
- \(18 \mathrm{~g}\) of glucose is dissolved in \(90 \mathrm{~g}\) of water. The relative lowering of vapour pressure of the solution is equal toAP EAMCET 2015 Hard
- The range of the real valued function \(f(x)=\sqrt{9-x^2}\) isAP EAMCET 2023 Easy
- Match the following items of List-I with those of List-II
\(\begin{array}{|c|c|c|c|}
\hline & \text { List I } & & \text { List II } \\
\hline(\mathrm{A}) & \text { Nickel } & \text { (1) } & \text { Electrolytic refining } \\
\hline \text { (B) } & \text { Titanium } & \text { (2) } & \text { Zone refining } \\
\hline(\mathrm{C}) & \text { Germanium } & (3) & \text { van-Arkel method } \\
\hline \text { (D) } & \text { Copper } & (4) & \text { Mond process } \\
\hline
\end{array}\)
The correct answer isAP EAMCET 2020 Easy - The following data is obtained for one mole of a gas The gas deviates from ideal behavior in the pressure (in bar) range
AP EAMCET 2023 Medium - \(A B C\) is a right angled triangle in which \(A B=3 \mathrm{~cm}, B C=4 \mathrm{~cm}\) and right angle is at \(B\). Three charges \(+15 \mu \mathrm{C},+12 \mu \mathrm{C}\) and \(-20 \mu \mathrm{C}\) are placed respectively at \(A, B\) and \(C\). The force acting on the charge at \(B\) isAP EAMCET 2019 Medium
- When acetylene is passed through red hot iron tube, compound \(X\) is formed. Which one of the following reactions will yield \(X\) as the major product?AP EAMCET 2003 Hard