AP EAMCET · Maths · Straight Lines
The equation of straight line passing through the point of intersection of the lines represented by \(x^2+4 x y+3 y^2-\) \(4 x-10 y+3=0\) and the point \((2,2)\) is
- A \(2 x+3 y-10=0\)
- B \(3 x+2 y-10=0\)
- C \(2 x+y-6=0\)
- D \(x+2 y-6=0\)
Answer & Solution
Correct Answer
(B) \(3 x+2 y-10=0\)
Step-by-step Solution
Detailed explanation
\(x^2+4 x y+3 y^2-4 x-10 y+3=0\) Comparing with \(a x^2+2 h x y+b y^2+2 g x+2 f y+c=0\)…
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 angle between the lines joining the origin to the points of intersection of \(x+2 y+1=0\) and \(2 x^2-2 x y+3 y^2+2 x-y-1=0\) isAP EAMCET 2017 Easy
- The coordinate axes are rotated about the origin in the counter clockwise direction through an angle \(60^{\circ}\). If \(a\) and \(b\) are the intercepts made on the new axes by a straight line whose equation referred to the original axes is \(x+y=1\), then \(\frac{1}{\mathrm{a}^2}+\frac{1}{\mathrm{~b}^2}=\)AP EAMCET 2025 Medium
- If \((l, m)\) is the circumcentre of an equilateral triangle inscribed in the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) having vertices at points with eccentric angles \(\theta_1, \theta_2\) and \(\theta_3\), then \(\frac{2}{3}\left[\cos \left(\theta_1-\theta_2\right)+\cos \left(\theta_2-\theta_3\right)+\cos \left(\theta_3-\theta_1\right)\right]=\)AP EAMCET 2019 Medium
- \(\sum_{k=1}^6\left(\sin \frac{2 \pi k}{7}-i \cos \frac{2 \pi k}{7}\right)=\)AP EAMCET 2019 Medium
- If the chord joining the points \((1,2)\) and \((2,-1)\) on a circle subtends an angle of \(\frac{\pi}{4}\) at any point on its circumference then the equation of such a circle isAP EAMCET 2025 Medium
- For \(x>2\), then equation \(\sqrt{x+2}-\sqrt{x-2}=\sqrt{4 x-2}\) hasAP EAMCET 2019 Easy
More PYQs from AP EAMCET
- \(\int_{-\pi}^{\frac{\pi}{2}} \sin x \cdot \sin ^2(\cos x) d x=\)AP EAMCET 2023 Easy
- A body cools down from \(75^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\) in 10 minutes. It will cool down from \(65^{\circ} \mathrm{C}\) to \(55^{\circ} \mathrm{C}\) in a timeAP EAMCET 2022 Hard
- The lines represented by the equation \(x^2-y^2-x+3 y-2=0\) are :AP EAMCET 2006 Medium
- If \(A=\left[\begin{array}{lll}2 & 3 & 4 \\ 1 & k & 2 \\ 4 & 1 & 5\end{array}\right]\) is singular matrix, then the quadratic equation having the roots \(k\) and \(\frac{1}{k}\) isAP EAMCET 2024 Easy
- If the latus rectum of a hyperbola through one focus subtends an angle \(60^{\circ}\) at the other focus, then its eccentricity isAP EAMCET 2020 Medium
- When the absolute temperature of the source of a Carnot heat engine is increased by \(25 \%\), its efficiency increases by \(80 \%\). The new efficiency of the engine isAP EAMCET 2016 Easy