AP EAMCET · Maths · Straight Lines
A rod of length 2l slides with its ends on two perpendicular lines, then the locus of its mid-point is
- A \(x^2+y^2=l^2\)
- B \(x^2-y^2=l^2\)
- C \(2x^2+2y^2=l^2\)
- D \(2x^2-2y^2=l^2\)
Answer & Solution
Correct Answer
(A) \(x^2+y^2=l^2\)
Step-by-step Solution
Detailed explanation
Based on given information, diagram is drawn. Let D be the point on rod. Let \(x=2 \alpha\) and \(y=2 \beta\) In \(\triangle A O B\),…
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
- If \(A=\left[\begin{array}{ccc}1 & 1 & a+1 \\ 1 & a+1 & 1 \\ a+1 & 1 & 1\end{array}\right]\) is not an invertible matrix, then the sum of all the values of \(a\) isAP EAMCET 2022 Easy
- Let \(a\) and \(b\) be non-negative real numbers. If \(\sin x+a \cos\) \(\mathrm{x}=\mathrm{b}\), then \(|\mathrm{a} \sin \mathrm{x}-\cos \mathrm{x}|=\)AP EAMCET 2022 Hard
- The circle \(S=0\) cuts the circle \(x^2+y^2-4 x+2 y-7=0\) orthogonally. If \((2,3)\) is the centre of the circle \(S=0\), then its radius isAP EAMCET 2019 Medium
- If the lines \(4 x+3 y-1=0, x-y+5=0\) and \(k x+5 y-3=0\) are concurrent then \(k\) is equal toAP EAMCET 2021 Easy
- If \(\vec{a}, \vec{b}, \vec{c}\) are 3 vectors such that \(|\vec{a}|=5,|\vec{b}|=8,|\vec{c}|=11\) and \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\) then the angle between the vectors \(\vec{a}\) and \(\vec{b}\) isAP EAMCET 2024 Easy
- Let \(x+y+1=0\) and \(x-y+4=0\) be the asymptotes of a hyperbola \(H\). If \((1,1)\) is a point on \(H\), then the length of the latus rectum of \(\mathrm{H}\) isAP EAMCET 2023 Medium
More PYQs from AP EAMCET
- If \(f(x)=\int \operatorname{cosec}^5 x d x\), then \(f\left(\frac{\pi}{4}\right)=\)AP EAMCET 2018 Medium
- Hydrolysis of \(\mathrm{XeF}_4\) gives \(\mathrm{HF}, \mathrm{O}_2, \mathrm{Xe}\) and ' X '. The structure of ' X ' isAP EAMCET 2024 Medium
- If \(f(x)= \begin{cases}\frac{1}{2}\left(b^2-a^2\right), & 0 \leq x \leq a \\ \frac{1}{2} b^2-\frac{x^2}{6}-\frac{a^3}{3 x}, & a < x \leq b, \text { then } \\ \frac{1}{3}\left(\frac{b^3-a^3}{x}\right), & x>b\end{cases}\)AP EAMCET 2023 Medium
- \(\begin{aligned} & \text { If } \mathbf{a}=\mathbf{i}+\mathbf{j}+\mathbf{k}, \mathbf{b}=2 \mathbf{i}-\mathbf{j}+3 \mathbf{k} \text { and } \mathbf{c}=\mathbf{i}-\mathbf{j} \\ & \text { and if } 6 \mathbf{i}+2 \mathbf{j}+3 \mathbf{k}=\lambda_1(\mathbf{a} \times \mathbf{b}) \\ & +\lambda_2(\mathbf{b} \times \mathbf{c})+\lambda_3(\mathbf{c} \times \mathbf{a}) \text {, then }\left(\lambda_1, \lambda_2, \lambda_3\right)=\end{aligned}\)AP EAMCET 2018 Easy
- If the lines \(x^2+2 x y-35 y^2-4 x+44 y-12=0\) and \(5 x+\lambda y-8=0\) are concurrent, then the value of \(\lambda\) isAP EAMCET 2007 Easy
- The number of network solids and ionic solids in the list given below is respectivelyAP EAMCET 2022 Medium