TS EAMCET · Maths · Straight Lines
If \(A=(5,3), B=(3,-2)\) and a point \(P\) is such that the area of the triangle \(P A B\) is 9 , then the locus of \(P\) represents
- A a circle
- B a pair of coincident lines
- C a pair of parallel lines
- D a pair of perpendicular lines
Answer & Solution
Correct Answer
(C) a pair of parallel lines
Step-by-step Solution
Detailed explanation
Let \(P(x, y), A=(5,3), B=(3,-2)\)…
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 \(\mathrm{C}_0, \mathrm{C}_1, \mathrm{C}_2, \ldots, \mathrm{C}_n\) are the binomial coefficients in the expansion of \((1+x)^n\) then the value of \(\sum r^3 \cdot \mathrm{C}_r\) when \(n=5\) isTS EAMCET 2025 Medium
- A pair of straight lines drawn through the origin forms an isosceles triangle right angled at the origin with the line \(2 x+3 y=6\). The area (in sq. units) of the triangle so formed isTS EAMCET 2023 Medium
- \[ \lim _{x \rightarrow 2} \frac{\sqrt[3]{6+x}-\sqrt[3]{10-x}}{x-2}= \]TS EAMCET 2023 Easy
- The equation of the hyperbola, whose eccentricity is \(\sqrt{2}\) and whose foci are 16 units apart, isTS EAMCET 2020 Easy
- Let and be two points on the hyperbola and be the focus of the hyperbola. If are collinear and thenTS EAMCET 2022 Medium
- For \(0 < x < 1\), the expansion of \(\left(1+\frac{1}{x}\right)^{\frac{1}{2}}\) isTS EAMCET 2020 Easy
More PYQs from TS EAMCET
- If the ratio of the mass numbers of two nuclei is \(27: 125\), then the ratio of their surface areas isTS EAMCET 2025 Medium
- Oxidation of cyclohexene in presence of acidic potassium permaganate leads toTS EAMCET 2017 Hard
- The centroid of the triangle formed by the pair of straight lines \(12 x^2-20 x y+7 y^2=0\) and the line \(2 x-3 y+4=0\) is :TS EAMCET 2006 Easy
- The value of \(x\) which satisfies \(\sin \left(\cot ^{-1} x\right)=\cos \left(\tan ^{-1}(1+x)\right)\) isTS EAMCET 2016 Easy
- A oil drop having a mass \(4.8 \times 10^{-10} \mathrm{~g}\) and charge \(2.4 \times 10^{-18} \mathrm{C}\) stands still between two charged horizontal plates separated by a distance of \(1 \mathrm{~cm}\). If now the polarity of the plates is changed, instantaneous acceleration of the drop is : \(\left(g=10 \mathrm{~ms}^{-2}\right)\)TS EAMCET 2006 Medium
- Two blocks of masses \(2 \mathrm{~kg}\) and \(1 \mathrm{~kg}\) are tied to the ends of a string which passes over a light frictionless pulley. The blocks are held at rest at the same horizontal level and then released suddenly. The distance traversed by their centre of mass in 2 seconds is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )TS EAMCET 2023 Medium