TS EAMCET · Maths · Circle
Observe the following statements : I. The circle \(x^2+y^2-6 x-4 y-7=0\) touches \(y\)-axis. II. The circle \(x^2+y^2+6 x+4 y-7=0\) touches \(x\)-axis. Which of the following is a correct statement?
- A Both I and II are true
- B Neither I nor II is true
- C I is true, II is false
- D I is false, II is true
Answer & Solution
Correct Answer
(B) Neither I nor II is true
Step-by-step Solution
Detailed explanation
I. Since the equation of circle is not in the form of \(x^2+y^2-2 h x-2 k y+k^2=0\), then the circle does not touch \(y\)-axis. II. Since the equation of circle is not in the form of \(x^2+y^2-2 h x-2 k y+h^2=0\), then the circle does not touch \(x\)-axis. \(\therefore\) Neither…
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
- are matrices. If , then one of the values of isTS EAMCET 2022 Medium
- Which of the following equations gives a circle?TS EAMCET 2005 Medium
- If \(A+2 B=\left[\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right]\) and \(2 A-B=\left[\begin{array}{ccc}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right]\) then \(\operatorname{tr}(A)-\operatorname{tr}(B)=\)TS EAMCET 2025 Medium
- The distance (in units) between the circumcentre and the centroid of the triangle formed by the vertices and isTS EAMCET 2019 Hard
- Two dice are rolled. If a random variable \(X\) denotes the sum of the numbers on them and \(\mu\) denotes the mean of \(X\), then \(\mu+P(X < 5)+P(X>9)+P(x=7)=\)TS EAMCET 2019 Medium
- 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
More PYQs from TS EAMCET
- The locus of a point on the argand plane represented by the complex number \(z\), when \(z\) satisfies the condition \(\left|\frac{z-1+i}{z+1-i}\right|=\left|\operatorname{Re}\left(\frac{z-1+i}{z+1-i}\right)\right|\) isTS EAMCET 2019 Medium
- A random variable \(X\) has the probability distribution given below.
Its variance isTS EAMCET 2014 Easy - Let \(P\left(\frac{\pi}{4}\right), Q\left(\frac{5 \pi}{4}\right), R\left(\frac{3 \pi}{4}\right), T\left(\frac{7 \pi}{4}\right)\) be the points on the hyperbola \(x^2-4 y^2-4=0\) in the parametric form. Then the area of the quadrilateral \(P Q R T\) is (in square units)TS EAMCET 2022 Medium
- A current carrying loop \(\mathrm{ABCD}\) has two circular arcs \(\mathrm{AD}\) and \(\mathrm{BC}\) with radius \(1 \mathrm{~cm}\) and \(2 \mathrm{~cm}\) respectively as shown in the figure. The two arcs \(\mathrm{AD}\) and \(\mathrm{BC}\) subtend a common angle \(30^{\circ}\) at the centre \(\mathrm{O}\). If the current flowing in the loop is \(\frac{1.2}{\pi} \mathrm{A}\), then the magnitude of net magnetic field at \(O\) is (Given \(\mu_0=4 \pi \times 10^{-7}\) )
TS EAMCET 2022 Easy - The IUPAC name of the compound \(\left(\mathrm{CH}_3\right)_2 \mathrm{CH}-\mathrm{CH}=\mathrm{CH}-\mathrm{CHOH}-\mathrm{CH}_3\) isTS EAMCET 2007 Easy
- The value of the numerically greatest term in the expansion of when and isTS EAMCET 2021 Easy