AP EAMCET · Maths · Straight Lines
\(\mathrm{L}_1 \equiv \mathrm{ax}-3 \mathrm{y}+5=0\) and \(\mathrm{L}_2 \equiv 4 \mathrm{x}-6 \mathrm{y}+8=0\) are two parallel lines. If \(\mathrm{p}, \mathrm{q}\) are the intercepts made by \(L_1=0\) and \(m, n\) are the intercepts made by \(L_2=0\) on the \(\mathrm{X}, \mathrm{Y}\) - coordinate axes respectively, then the equation of the line passing through the points \((p, q)\) and \((m, n)\) is
- A \(3 x+3 y+2=0\)
- B \(2 x+3 y=0\)
- C \(6 x+6 y+5=0\)
- D \(x+3 y=2\)
Answer & Solution
Correct Answer
(B) \(2 x+3 y=0\)
Step-by-step Solution
Detailed explanation
For parallel lines, \( \frac{\mathrm{a}}{4} = \frac{-3}{-6} \Rightarrow \mathrm{a}=2 \) Intercepts for \( \mathrm{L}_1 \equiv 2\mathrm{x}-3 \mathrm{y}+5=0 \): \( \mathrm{p}=-\frac{5}{2} \), \( \mathrm{q}=\frac{5}{3} \) Intercepts for…
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 \(\alpha, \beta, \gamma\) are the roots of \(x^3-6 x^2+11 x-6=0\), then the equation having the roots \(\alpha^2+\beta^2, \beta^2+\gamma^2\) and \(\gamma^2+\alpha^2\) isAP EAMCET 2019 Easy
- Let \(u, v\) and \(w\) are non-coplanar vectors, then the value of \(\frac{(u+2 v-w) \cdot[(u-v) \times(u-v-w)]}{[u v w]}\)AP EAMCET 2021 Medium
- PQR is a right angled isosceles triangle with right angle at \(\mathrm{P}(2,1)\). If the equation of the line \(Q R\) is \(2 x+y=3\), then the equation representing the pair of lines \(P Q\) and \(P R\) isAP EAMCET 2025 Hard
- In \(\triangle A B C\), if \(\cos 3 A+\cos 3 B+\cos 3 C+\cos 3 \pi=0\), then the least value of the sum of two of its angles isAP EAMCET 2018 Hard
- The equations \(x-y=4\) and \(x^2+4 x y+y^2=0\) represent the sides of a/anAP EAMCET 2020 Hard
- If \(f: R \rightarrow R\) and \(g: R \rightarrow R\) are given by \(f(x)=|x|\) and \(g(x)=[x]\) for each \(x \in R\), then \(\{x \in R: g(f(x)) \leq f(g(x))\}\) is equal toAP EAMCET 2003 Easy
More PYQs from AP EAMCET
- If a body is projected with an angle \(\theta\) to the horizontal, thenAP EAMCET 2008 Easy
- If thenAP EAMCET 2021 Medium
- If \(A=\left[\begin{array}{cc}1 & 0 \\ 0 & -1\end{array}\right], P=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]\) and \(X=A P A^T\), then \(A^T X^{50} A=\)AP EAMCET 2019 Medium
- Bulk modulus of water is \(2 \times 10^9 \mathrm{~N} / \mathrm{m}^2\). The pressure required to increase the volume of water by \(0.1 \%\) in \(\mathrm{N} / \mathrm{m}^2\) is :AP EAMCET 2003 Easy
- The work functions \(\left(W_0\right)\) of \(\mathrm{K}, \mathrm{Na}, \mathrm{Li}, \mathrm{Mg}\) and \(\mathrm{Cu}\) are \(2.25,2.30,2.42,3.70\) and \(4.80 \mathrm{eV}\) respectively. How many of these metals do not undergo photoelectric effect when a radiation of wavelength \(450 \mathrm{~nm}\) is allowed to fall on them? \(\left(1 \mathrm{eV}=1.602 \times 10^{-19} \mathrm{~J}\right)\)AP EAMCET 2018 Medium
- satisfies which of the following differential equations?AP EAMCET 2022 Medium