AP EAMCET · Maths · Circle
If a circle \(S\) passes through the origin and makes an intercept of length 4 units on the line \(x=2\), then the equation of the curve on which the centre of \(S\) lies is
- A \(y^2-4 x=8\)
- B \(y^2+4 x=8\)
- C \(x^2+4 y=8\)
- D \(x^2-4 y=8\)
Answer & Solution
Correct Answer
(B) \(y^2+4 x=8\)
Step-by-step Solution
Detailed explanation
Let the center of the circle be \( (h,k) \). Since it passes through the origin \( (0,0) \), the square of the radius is \( r^2 = h^2 + k^2 \). The equation of the circle is \( (x-h)^2 + (y-k)^2 = h^2 + k^2 \). For the intercept on the line \( x=2 \):…
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
- 3 out of 6 vertices of a regular hexagon are chosen at a time at random. The probability that the triangle formedwith these three vertices is an equilateral triangle, isAP EAMCET 2016 Easy
- The value of \({ }^7 P_3-3\left({ }^6 P_2\right)\) is equal toAP EAMCET 2021 Medium
- For the parabola match the items in List- with the suitable item in List- given below:
The correct matching isList- List- Vertex Focus Equation of the directrix Equation of the axis AP EAMCET 2018 Easy - \(\lim _{x \rightarrow 0} \frac{x^2 \sin ^2(3 x)+\sin ^4(6 x)}{(1-\cos 3 x)^2}=\)AP EAMCET 2025 Medium
- A manufacturing company of bulbs has 3 units \(\mathrm{A}, \mathrm{B}\) and C which produce \(25 \%\), \(35 \%\) and \(40 \%\) of the bulbs respectively. Out of the bulbs produced by A, B, C units, \(5 \%, 4 \%\) and \(2 \%\) are defective respectively. If a bulb is chosen at random and found to be defective, then the probability that it is produced by unit B isAP EAMCET 2025 Medium
- Points \(P\) and \(Q\) are given by \(\overline{O P}=\bar{i}-\bar{j}-\bar{k}\) and \(\overline{O Q}=-\bar{i}+\bar{j}+\bar{k}\). A line along the vector \(\bar{a}=\bar{i}+\bar{j}\) passes through the point \(P\) and another line along the vector \(\bar{b}=\bar{j}-\bar{k}\) passes through the point \(Q\). If a line along the vector \(\bar{c}=\bar{i}-\bar{j}+\bar{k}\) intersects both the lines along the vectors \(\bar{a}\) and \(\bar{b}\) at \(L\) and \(M\) respectively, then \(\overline{P M}=\)AP EAMCET 2025 Hard
More PYQs from AP EAMCET
- The line joining the points \(A(2,0)\) and \(B(3,1)\) is rotated through an angle of \(45^{\circ}\), about \(A\) in the anti-clockwise direction. The coordinates of \(B\) in the new positionAP EAMCET 2011 Hard
- The rate constant of a reaction at \(500 \mathrm{~K}\) and \(700 \mathrm{~K}\) are \(0.02 \mathrm{~s}^{-1}\) and \(0.2 \mathrm{~s}^{-1}\) respectively. The activation energy of the reaction
(in \(\left.\mathrm{kJ} \mathrm{mol}^{-1}\right)\) is \(\left(R=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\)AP EAMCET 2024 Medium - The number of 5 digit odd numbers greater than 40,000 that can be formed by using \(3,4,5,6,7,0\) so that at least one of its digit must be repeated isAP EAMCET 2024 Hard
- When a resistance \(R_1\) is connected across a cell, the current is \(I_1\) and if the resistance \(R_1\) is replaced by \(R_2\), the current is \(\mathrm{I}_2\). Then the internal resistance of the cell isAP EAMCET 2023 Medium
- 209 g of an element reacts with chlorine to form 315.5 g of its chloride. What is the weight (in g ) of oxygen that reacts with 418 g of same element?
\((\mathrm{C} \ell=35.5 \mathrm{u} ; \mathrm{O}=16 \mathrm{u})\)AP EAMCET 2025 Medium - A spring is stretched by 0.2 m when a mass of 0.5 kg is suspended to it. The time period of the spring when 0.5 kg mass is replaced with a mass of 0.25 kg is suspended to it is
(Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2025 Medium