TS EAMCET · Maths · Circle
A line \(l\) meets the circle \(x^2+y^2=61\) in \(A, B\) and \(P(-5,6)\) is such that \(P A=P B=10\). Then, the equation of \(l\) is
- A \(5 x+6 y+11=0\)
- B \(5 x-6 y-11=0\)
- C \(5 x-6 y+11=0\)
- D \(5 x-6 y+12=0\)
Answer & Solution
Correct Answer
(C) \(5 x-6 y+11=0\)
Step-by-step Solution
Detailed explanation
Since, the line \(l\) meets the circle \(x^2+y^2=61\) at two points \(A\) and \(B\). \[ \because P A=P B=10 \] \(\therefore P M\) is perpendicular to \(A B\) and \(O M\) is perpendicular to the chord \(A B\), therefore line \(O P\) is perpendicular to \(A B\). \(\therefore\) The…
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
- In a triangle \(A B C\), if \(a^2-b^2-c^2=b c\left(\lambda^2-2 \lambda-1\right)\), thenTS EAMCET 2019 Easy
-
The correct match is
TS EAMCET 2019 Hard - For an ellipse with eccentricity \(\frac{1}{2}\) the centre is at the origin. If one directrix is \(x=4\), then the equation of the ellipse isTS EAMCET 2008 Easy
- There is a possible error of 0.02 cm in measuring the base diameter of a right circular cone as 14 cm. If the semi-vertical angle of the cone is \(45^{\circ}\), then the approximate error in its volume is (in cu. cm)TS EAMCET 2025 Medium
- Numerically greatest term in the expansion of \((3 x-4 y)^{23}\) when \(x=\frac{1}{6}\) and \(y=\frac{1}{8}\) isTS EAMCET 2025 Medium
- \(A+B=C \quad \Rightarrow\) \(\cos ^2 A+\cos ^2 B+\cos ^2 C-2 \cos A \cos B \cos C\) is equal toTS EAMCET 2005 Medium
More PYQs from TS EAMCET
- If two dice are rolled, then the probability of getting a multiple of 3 as the sum of the numbers appeared on the top faces of the dice, if it is known that their sum is an odd number, isTS EAMCET 2024 Medium
- A person fails 4 times in a game when he plays 9 times. If he plays 15 times, the probability of having success at most one isTS EAMCET 2018 Easy
- The correct formula of borax is \(\mathrm{Na}_2\left[\mathrm{~B}_4 \mathrm{O}_5(\mathrm{OH})_x\right] \cdot y \mathrm{H}_2 \mathrm{O}\). The sum of \(x\) and \(y\) isTS EAMCET 2024 Easy
- Statement (I) : By increasing the potential difference between cathode and anode continuously in a photoelectric experiment, the photo current always increases continuously. Statement (II) : If two photons A and B of energies 2.5 \(\mathrm{eV}\) and \(3.5 \mathrm{eV}\) respectively fall on a metal surface of work function \(2.0 \mathrm{eV}\), then the ratio of maximum kinetic energies emitted between A and B is 3 . Statement (III) : The maximum energy needed by an electron to come out from metal surface is called the work function of the metal. Which of the following is correct?TS EAMCET 2022 Medium
- The area (in square unit) of the circle which touches the lines \(4 x+3 y=15\) and \(4 x+3 y=5\) isTS EAMCET 2009 Easy
- Two short magnets \(A B\) and \(C D\) are in the \(X-Y\) plane and are parallel to \(X\)-axis and co-ordinates of their centres respectively are \((0,2)\) and \((2,0)\). Line joining the north-south poles of \(C D\) is opposite to that of \(A B\) and lies along the positive \(X\)-axis. The resultant field induction due to \(A B\) and \(C D\) at a point \(P(2,2)\) is \(100 \times 10^{-7} \mathrm{~T}\). When the poles of the magnet \(C D\) are reversed, the resultant field induction is \(50 \times 10^{-7} \mathrm{~T}\). The value of magnetic moments of \(A B\) and \(C D\) (in \(\mathrm{Am}^2\) ) are :TS EAMCET 2006 Hard