AP 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
- If \(P\) divides the line segment joining the points \(A\) and \(B\) in the ratio \(2: 1\) and the position vectors of \(A\) and \(B\) are \(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}\) and \(-3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}\) respectively, then the position vector of \(p\) isAP EAMCET 2020 Easy
- If \(\mathrm{X}\) is a random variable such that \(P(X=-2)=P(X=-1)=P(X=2)=P(X=1)=\frac{1}{6}\) and \(P(X=0)=\frac{1}{3}\), then the mean of \(X\) isAP EAMCET 2023 Easy
- If , thenAP EAMCET 2021 Easy
- The mean deviation about the mean for the following data is
AP EAMCET 2019 Easy - If \(\mathrm{P}(2,3)\) and \(\mathrm{Q}(-1,2)\) are conjugate points with respect to the circle \(x^2+y^2+2 g x+3 y-2=0\), then the radius of the circle isAP EAMCET 2023 Medium
- If \(\int \frac{2 x+3}{x(x+1)(x+2)(x+3)+1} d x\) \(=\frac{-1}{a x^2+b x+c}+\alpha\), then value of \(a+b+c\) is equal toAP EAMCET 2021 Hard
More PYQs from AP EAMCET
- Observe the statements given below :
Assertion (A) : \(f(x)=x e^{-x}\) has the maximum at \(x=1\)
Reason (R) : \(f^{\prime}(1)=0\) and \(f^{\prime \prime}(1) < 0\)
Which of the following is correct?AP EAMCET 2007 Easy - An ac voltage of \(10 \sin \omega t\) volt is applied to a pure inducfor of inductance \(10 \mathrm{H}\). The current through the inductor in ampere isAP EAMCET 2023 Hard
- If \(\mathbf{P}=3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\mathbf{Q}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) are two sides of a triangle, then its area is equal to ____ sq units.AP EAMCET 2020 Easy
- If \(C, R, L\) and \(I\) denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are :
(1) \(C R\)
(2) \(\frac{L}{R}\)
(3) \(\sqrt{L C}\)
(4) \(L I^2\)AP EAMCET 2006 Easy - The center of ellipse \(x^2+2 y^2-4 x+12 y+14=0\) isAP EAMCET 2021 Easy
- The straight line \(\mathrm{x} \cos \alpha+\mathrm{y} \sin \alpha=\mathrm{p}\) cuts the circle \(x^2+y^2-a^2=0\) at \(A\) and \(B\). Then the equation of circle having \(\mathrm{AB}\) as diameter isAP EAMCET 2022 Medium