AP EAMCET · Maths · Straight Lines
\(A B C D\) is a square with side 16 units and \(A\) is the origin. If the equation of the circle circumscribing the square \(A B C D\) is \(x^2+y^2=4 k(x+y)\), then \(k=\)
- A 2
- B 4
- C 16
- D 64
Answer & Solution
Correct Answer
(B) 4
Step-by-step Solution
Detailed explanation
\(A B C D\) is a square with side 16 units let \(a=16\) units Centre of the circle \(O\left(\frac{a}{2}, \frac{a}{2}\right)\) \[ A C=\sqrt{(a-0)^2+(a-0)^2}=\sqrt{2} a \] So, radius of circle \(=\frac{A C}{2}=\frac{\sqrt{2} a}{2}=\frac{a}{\sqrt{2}}\) \(\therefore\) Equation of…
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 tangents are drawn to the ellipse \(x^2+2 y^2=2\), then the locus of the midpoints of the intercepts made by the tangents between the coordinate axes isAP EAMCET 2025 Medium
- If \(x, y, z\) are all positive and are the \(p\) th, \(q\) th and \(r\) th terms of a geometric progression respectively, then the value of the determinant
\(\left|\begin{array}{lll}
\log x & p & 1 \\
\log y & q & 1 \\
\log z & r & 1
\end{array}\right| \text { equals }\)AP EAMCET 2009 Medium - The angle between the tangents drawn to the parabola \(y^2=4 x\) from the point \((1,4)\) isAP EAMCET 2019 Easy
- If is such that for all and thenAP EAMCET 2018 Easy
- The system of equations \(x+y+z=5, x+2 y+a z=9, x+2 y+z=b\) is inconsistent ifAP EAMCET 2017 Easy
- \(\lim _{x \rightarrow 0} \frac{x^2 \log (\cos x)}{\log \left(1+x^2\right)}=\)AP EAMCET 2022 Medium
More PYQs from AP EAMCET
- At \(\mathrm{T}(\mathrm{K})\), the \(\mathrm{P}, \mathrm{V}\) and \(u_{\mathrm{rms}}\) of 1 mole of an ideal gas were measured. The following graph is obtained. What is its slope (m)? \(\left(x\right.\)-axis \(=\mathrm{PV} ; y\)-axis \(u_{r m s}^2, \mathrm{M}=\) Molar mass \()\)
AP EAMCET 2024 Medium - If the straight lines \(2 x-y+1=0\), \(4 x+y+2=0\) and \(x+y-k=0\) are concurrent, then \(k\) equalsAP EAMCET 2021 Easy
- The horizontal range of a projectile projected at an angle of \(45^{\circ}\) with the horizontal is 50 m . The height of the projectile when its horizontal displacement is 20 m isAP EAMCET 2024 Easy
- The number of turns in primary and secondary coils of a transformer is 50 and 200 respectively. If the current in the primary coil is \(4 \mathrm{~A}\), then the current in the secondary coil isAP EAMCET 2008 Easy
- The correct statement about the product of the following reaction is
\(\mathrm{CH}_3 \mathrm{CHO} \xrightarrow[\text { (ii) } \mathrm{H}_2 \mathrm{O}]{\text { (i) } \mathrm{C}_2 \mathrm{H}_5 \mathrm{MgBr}}\) productAP EAMCET 2025 Medium - Which one of the following is used as refrigerant for ice-cream and frozen foods?AP EAMCET 2019 Hard