AP EAMCET · Maths · Straight Lines
If the ends of the hypotenuse of a right angled triangle are \((0, a)\) and \((a, 0)\) then the locus of the third vertex is
- A \(x^2+y^2-a x-a y=0\)
- B \(x^2+y^2-a x+a y=0\)
- C \(x^2-y^2-a x-a y=0\)
- D \(x^2-y^2+a x-a y=0\)
Answer & Solution
Correct Answer
(A) \(x^2+y^2-a x-a y=0\)
Step-by-step Solution
Detailed explanation
Let \(\triangle A B C\) be a right angled triangle with the ends of hypotenuse \(A(0, a)\) and \(C(a, 0)\) Let co-ordinates of point \(B\) is \(B(x, y)\) According to Pythagorous theorem,…
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 , thenAP EAMCET 2021 Hard
- If \(f(x)=\sqrt{x}-1\) and \(g\{f(x)\}=x+2 \sqrt{x}+1\) then \(g(x)=\)AP EAMCET 2024 Easy
- If the radical axis of the circles
\(x^2+y^2+2 g x+2 f y+c=0\) and
\(2 x^2+2 y^2+3 x+8 y+2 c=0\) touches the circle \(x^2+y^2+2 x+2 y+1=0\), thenAP EAMCET 2018 Easy - \(\sqrt{12-\sqrt{68+48 \sqrt{2}}}\) is equal to :AP EAMCET 2006 Easy
- The distance between the origin and the normal to the curve drawn at is_____ unitsAP EAMCET 2021 Medium
- There are 2 bags each containing 3 white and 5 black balls and 4 bags each containing 6 white and 4 black balls. If a ball drawn randomly from a bag is found to be black, then the probability that this ball is from the first set of bags isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- The line passing through and parallel to the vector meets the line at and the plane at . ThenAP EAMCET 2021 Hard
- In a \(\triangle A B C, A-B=120^{\circ}, R=8 r\), then \(\frac{1+\cos C}{1-\cos C}=\)AP EAMCET 2025 Hard
- What is the reaction occurring at the anode in Down's process for the extraction of sodium?AP EAMCET 2002 Easy
- A prism is made up of material of refractive index \(\sqrt{3}\). The angle of the prism is \(Ã…\). If the angle of minimum deviation is equal to the angle of the prism, then the value of \(A\) is:AP EAMCET 2002 Medium
- Statement (A): Inside a charged hollow metal sphere, . (- electric field, -eslectric potential) Statement (B): The work done in moving a positive charge on an equipotential surface is zero. Statement (C): When two like charges are brought closer, their mutual electrostatic potential energy will increase.AP EAMCET 2022 Easy
- The wavelength of the first spectral line of the Lyman series of hydrogen spectrum isAP EAMCET 2021 Easy