TS EAMCET · Maths · Circle
The equation of the circle touching the line \(2 x+3 y+1=0\) at the point \((1,-1)\) and orthogonal to the circle which has the line segment having end points \((0,-1)\) and \((-2,3)\) as diameter, is
- A \(x^2+y^2-10 x+5 y+1=0\)
- B \(x^2+y^2+5 x-10 y-1=0\)
- C \(2 x^2+2 y^2+10 x-5 y-1=0\)
- D \(2 x^2+2 y^2-10 x-5 y+1=0\)
Answer & Solution
Correct Answer
(D) \(2 x^2+2 y^2-10 x-5 y+1=0\)
Step-by-step Solution
Detailed explanation
Let the equation of circle is \( x^2+y^2+2 g x+2 f y+c=0 \) It is passes through \((1,-1)\) \( \therefore \quad 2 g-2 f+c=-2 \) Equation of circle whose end point of diametre \((0,-1)\) and \((-2,3)\) is…
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 \(\sin \mathrm{h} x=\tan \mathrm{A}\), then \(|\tan \mathrm{h} x|=\)TS EAMCET 2022 Hard
- The number of common tangents to the circles \(x^2+y^2-2 x-6 y+9=0\) and \(x^2+y^2+6 x-2 y+1=0\) isTS EAMCET 2023 Easy
- Let \(\mathbf{a}=2 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=-\hat{\mathbf{j}}+\hat{\mathbf{k}}\). If \(\mathbf{c}\) is a vector such that \(\mathbf{a} \cdot \mathbf{c}=|\mathbf{c}|,|\mathbf{c}-\mathbf{a}|=2 \sqrt{2}\) and the angle between \(\mathbf{a} \times \mathbf{b}\) and \(\mathbf{c}\) is \(\frac{\pi}{3}\), then \(|(\mathbf{a} \times \mathbf{b}) \times \mathbf{c}|=\)TS EAMCET 2020 Medium
- The least positive integral value of \(n\) such that \(\left[\frac{1+\sin \frac{2 \pi}{9}+i \cos \frac{2 \pi}{9}}{1+\sin \frac{2 \pi}{9}-i \cos \frac{2 \pi}{9}}\right]^n=1\) isTS EAMCET 2023 Easy
- The value of the greatest integer \(k\) satisfying the inequation \(2^{n+4}+12 \geq k(n+4)\) for all \(n \in \mathrm{~N}\) isTS EAMCET 2025 Hard
- If \(\mathrm{S}\) is the circumcentre, \(\mathrm{O}\) is the orthocentre and \(\mathrm{G}\) is the centroid of a triangle \(\mathrm{ABC}\), then match the items of the List -I with those of the items of List-II given below.
TS EAMCET 2023 Easy
More PYQs from TS EAMCET
- Which of following alcohols gives white turbidity almost immediately with the Lucas reagent at room temperature? (i) -Butanol (ii) tertiary-Butanol (iii) Benzyl alcohol (iv) Allylic alcoholTS EAMCET 2020 Easy
- Exhausted permutit does not contain .......ionTS EAMCET 2004 Easy
- A ball projected at an angle of \(45^{\circ}\) with the horizontal crosses two points at equal heights separated by a distance at times 2 s and 8 s respectively. The horizontal distance between the two points is
(Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )TS EAMCET 2025 Medium - Which of the following statements support the cyclic form for glucose?
(i) It doesn't give Schiff's test.
(ii) It is found to exist in two different crystalline forms.
(iii) It oxidises with nitric acid to give saccharic acid.
(iv) Pentaacetate of glucose doesn't react with hydroxylamine.TS EAMCET 2020 Medium - A beam of photons with an energy of strike a metal plate. The photoelectrons are emitted with maximum velocity of . The work function of the metal is
(Assume mass of electron and Charge of electron )TS EAMCET 2020 Easy - If three unit vectors \(\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}, \overrightarrow{\mathbf{c}} \quad\) satisfy \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{0}}\), then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\) isTS EAMCET 2010 Easy