AP EAMCET · Maths · Three Dimensional Geometry
The distance between a point \(P\) whose position vector is \(5 \hat{i}+\hat{j}+3 \hat{k}\) and the line \(\mathbf{r}=(3 \hat{i}+7 \hat{j}+\hat{k})+t(\hat{j}+\hat{k})\) is
- A \(3\)
- B \(4\)
- C \(5\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\(\mathbf{P}=5 \hat{i}+\hat{j}+3 \hat{k} \Rightarrow P \equiv(5,1,3)\) \(\because \quad \mathbf{r}=(3 \hat{i}+7 \hat{j}+\hat{k})+(\hat{j}+\hat{k})\) \(\Rightarrow\) Line passes through the point \(Q(3,7,1)\). \(\Rightarrow \mathbf{P Q}=-2 \hat{i}+6 \hat{j}-2 \hat{k}\) Direction…
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
- \(\int x^2 \sin x \cos x d x=\)AP EAMCET 2017 Medium
- If the direction cosines \(l, m, n\) of two lines are satisfying the relations \(l+m+n=0\), \(l m=0\), then the angle between those two lines isAP EAMCET 2017 Medium
- If one ticket is selected at random from 30 tickets each with a distinct number from 1 to 30 , then the probability that the number on the selected ticket is a multiple of 3 or 5 isAP EAMCET 2023 Easy
- Let \(f(x)=x^2+\frac{1}{x^2}\) and \(g(x)=x-\frac{1}{x}\) for \(x \in R-\{-1,0,+1\}\), then the local minimum of \(\frac{f(x)}{g(x)}\) isAP EAMCET 2022 Medium
- If \(\int_0^{10} f(x) d x=5\), then \(\sum_{k=1}^{10} \int_0^1 f(k-1+x) d x=\)AP EAMCET 2017 Medium
- If \(g(x)=x^2+x-2\) and \(\frac{1}{2}(g \circ f)(x)=2 x^2-5 x+2\), then one such function \(f(x)=\)AP EAMCET 2018 Easy
More PYQs from AP EAMCET
- The temperature of the earth without green house effect will beAP EAMCET 2023 Medium
- If , where is a complex number, then locus of is a straight lineAP EAMCET 2021 Easy
- Number of triangle formed by the lines \(x-y+3=0,2 x-y+3=0,3 x-y+2=0\) and \(x+y-3=0\) isAP EAMCET 2022 Easy
- \(\lim _{x \rightarrow 0} \frac{\left(1+\frac{x}{2}\right)^{5 / 7}-1}{x}=\)AP EAMCET 2020 Easy
- If the tangent at the point on the circle meets the straight line at a point on the -axis, then the length of isAP EAMCET 2022 Hard
- If are roots of the equation , then the roots ofAP EAMCET 2021 Easy