AP EAMCET · Maths · Circle
The normal drawn at \(P(-1,2)\) on the circle \(x^2+y^2-2 x-2 y-3=0\) meets the circle at another point \(Q\). Then, the coordinates of \(Q\) are
- A \((3,0)\)
- B \((-3,0)\)
- C \((2,0)\)
- D \((-2,0)\)
Answer & Solution
Correct Answer
(A) \((3,0)\)
Step-by-step Solution
Detailed explanation
Equation of circle, \(x^2+y^2+2 x-2 y-3=0\) Its centre is \((1,1)\) Given that, \(\therefore \quad\) PQ being normal to the circle represent the diameter of circle and \(\mathrm{O}\) is the mid-point of PQ.…
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
- The sum of angles of elevation of the top of a tower from two points distant \(a\) and \(b\) from the base and in the same straight line with it is \(90^{\circ}\). Then, the height of the tower isAP EAMCET 2010 Medium
- If \(\int \frac{x^2}{(x-1)(x-2)(x-3)} d x=\log _e f(x)\) then \(f(x)=\)AP EAMCET 2017 Medium
- If the lines represented by the equation \(4 x y+6 x-8 y+c=0\) form a rectangle with the coordinate axis then the area of the rectangle (in sq. units) isAP EAMCET 2018 Medium
- If \(\vec{a}, \vec{b}, \vec{c}\) are three vectors such that \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{3}\) and \((\vec{a}+\vec{b}+\vec{c})^2+(\vec{b}+\vec{c}-\vec{a})^2+(\vec{c}+\vec{a}-\vec{b})^2=36\) then, \(|2 \vec{a}-3 \vec{b}+2 \vec{c}|^2=\)AP EAMCET 2024 Easy
- If \(A\) and \(B\) are independent events of a random experiment such that \(P(A \cap B)=\frac{1}{6}\) and \(P(\bar{A} \cap \bar{B})=\frac{1}{3}\), then \(P(A)\) is equal to (Here, \(\overrightarrow{\mathbf{E}}\) is the complement of the event \(E\) )AP EAMCET 2008 Medium
- If are the direction ratios of a line joining the points and then the point lies on the planeAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- If \(\lim _{x \rightarrow 0}\left(\frac{\cos 4 x+a \cos 2 x+b}{x^4}\right)\) is finite, then the values of \(a, b\) are respectively :AP EAMCET 2006 Easy
- The locus of the point of intersection of the normals to the parabola \(x^2=8 y\), which are at right angles to each other, isAP EAMCET 2017 Medium
- The cold junction of a thermocouple is at \(0^{\circ} \mathrm{C}\). The thermo e.m.f produced in the thermocouple is given by an equation \(E=16 T-0.04 T^2\), where \(T\) is the temperature of the hot junction. The temperature of inversion and neutral temperature of the thermocouple areAP EAMCET 2002 Hard
- \(\int \frac{d x}{\sqrt{x-x^2}}\) is equal toAP EAMCET 2012 Hard
- The solution of the equation \(2 x^3-x^2-22 x-24=0\), when two of the roots are in the ratio \(3: 4\) isAP EAMCET 2021 Medium
- The depression in freezing point of solution of molality \(0.01 \mathrm{~mol} \mathrm{~kg}^{-1}\) is highest with respect to which of the solvent? (Whose \(K_f\) is given in brackets)AP EAMCET 2022 Medium