AP EAMCET · Maths · Straight Lines
The area (in sq units) of the quardilateral formed by the lines \(2 x+3 y+6=0\), \(2 x-3 y+6=0,2 x+3 y-6=0\) and \(2 x-3 y-6=0\) is
- A 12
- B 36
- C 6
- D 18
Answer & Solution
Correct Answer
(A) 12
Step-by-step Solution
Detailed explanation
\(\begin{gathered}\text { Required area }=\left|\frac{(6+6) \times(6+6)}{2(-3)-3(2)}\right| \\ =\frac{12 \times 12}{12}=12\end{gathered}\)
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 polar of a point with respect to the circle \(x^2+y^2-\) \(10 x+12 y-3=0\) which is not a tangent and not a chord of contact isAP EAMCET 2023 Hard
- The distance between pair of parallel lines represented by
\[
x^2+2 x y+y^2-8 a x-8 a y-9 a^2=0
\]
is. unitsAP EAMCET 2021 Easy - Suppose \(f(x)\) is twice differentiable in the interval [1, 3] and \(f(1)=f(3)\). If \(\left|f^{\prime \prime}(x)\right| \leq 2\), then for all \(x\) in \([1,3]\), which one of the following is true?AP EAMCET 2017 Hard
- When the axes are rotated through an angle , the new coordinates of a point are . The coordinates of in the original system areAP EAMCET 2021 Easy
- The acute angle between lines isAP EAMCET 2021 Easy
- \(\int e^x(x+1)^2 d x=\)AP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If the circles \(x^2+y^2-2 x+4 y+c=0\) and \(x^2+y^2+2 x-\) \(4 y+c=0\) have four common tangents, thenAP EAMCET 2023 Medium
- The molarity of one molal glucose solution having density of \(1.2 \mathrm{~g} / \mathrm{mL}\) isAP EAMCET 2023 Easy
- Electronic configurations of four elements \(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}\) are given below
A) \(1 \mathrm{~s}^2 2 \mathrm{~s}^2 2 \mathrm{p}^6 3 \mathrm{~s}^1\)
B) \(1 s^2 2 s^2 2 p^6 3 s^2 3 p^1\)
C) \(1 s^2 2 s^2 2 p^6 3 s^2\)
D) \(1 s^2 2 s^2 2 p^6 3 s^2 3 p^2\)
The correct order of first ionization enthalpy of these elements isAP EAMCET 2025 Medium - Let \(\vec{a}, \vec{b}, \vec{c}\) be co-initial vectors and \(\vec{a}=2 \hat{i}-\hat{j}+5 \hat{k}\) and \(\overrightarrow{\mathrm{b}}=3 \hat{\mathrm{i}}+7 \hat{\mathrm{j}}-\hat{\mathrm{k}}\). Let \((\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{b}})=\theta\) be an acute angle and \(\overrightarrow{\mathrm{c}}\) be the vector along the bisector of the angle \(\theta\). If \(\lambda, x\), \(\mathrm{y} \in \mathbb{R}\), then \(\overrightarrow{\mathbf{c}}=\)AP EAMCET 2023 Easy
- A ball of mass \(2 \mathrm{~kg}\) collides with another ball of mass \(\mathrm{M}\) at rest. If the collision is elastic and after the collision, the first ball moves with \(\frac{1}{3}\) of its initial velocity in the same direction. then the mass of second ball isAP EAMCET 2018 Easy
- Calculate the area enclosed by the curvesAP EAMCET 2020 Easy