The range of values of a for which the point \( (a, 4) \) is outside the circles \( x^{2}+y^{2}+... VIDEO
The range of values of a for which the point \( (a, 4) \) is outside the circles \( x^{2}+y^{2}+10 x=0 \) and \( x^{2}+ \) \( y^{2}-12 x+20=0 \) is
(a) \( (-\infty,-8) \cup(-2,6) \cup(6,+\infty) \)
(b) \( (-8,-2) \)
(c) \( (-\infty,-8) \cup(-2,+\infty) \)
(d) none of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-10-27 The number of common tangents to the circles \( x^{2}+y^{2}-6 x-14 y+48=0 \) and \( x^{2}+y^{2}-... 2022-10-27 Two circles have the equations \( x^{2}+y^{2}-4 x-6 y-8=0 \) and \( x^{2}+y^{2}-2 x-3=0 \). Then... 2022-10-27 If \( (2,4) \) is a point interior to the circle \( x^{2}+y^{2}-6 x-10 y+\lambda=0 \) and the ci... 2022-10-27 There are two circles whose equations are \( x^{2}+y^{2}=9 \) and \( x^{2}+y^{2}-8 x-6 y+n^{2}=0... 2022-10-27 If the circles \( x^{2}+y^{2}+2 a x+c=0 \) and \( x^{2}+y^{2}+2 b y+c=0 \) touch each other then... 2022-10-27 The number of common tangents to the circles \( x^{2}+y^{2}+2 x+8 y-23=0 \) and \( x^{2}+y^{2}-4... 2022-10-27 The number of common tangents to the circles \( x^{2}+y^{2}=4 \) and \( x^{2}+y^{2}-6 x-8 y=24 \... 2022-10-27 The number of points with integral coordinates that are interior to the circle \( x^{2}+y^{2}=16... 2022-10-27 A region in the \( x-y \) plane is bounded by the curve \( y=\sqrt{25-x^{2}} \) and the line \( ... 2022-10-27 The equation of the circle of radius \( 2 \sqrt{2} \) whose centre lies on the line \( x-y=0 \) ... 2022-10-27 The range of values of a for which the point \( (a, 4) \) is outside the circles \( x^{2}+y^{2}+... 2022-10-27 If \( (a, b) \) is a point on the chord \( A B \) of the circle, where the ends of the chord are... 2022-10-27 The length of the chord of the circle \( x^{2}+y^{2}=9 \) passing through \( (3,0) \) and perpen... 2022-10-27 The number of points on the circle \( 2 x^{2}+2 y^{2}-3 x=0 \) which are at a distance 2 from th... 2022-10-27 The equation of a circle \( C \) is \( x^{2}+y^{2}-6 x-8 y-11=0 \). The number of real points at... 2022-10-27 The equation of the diameter of the circle \( 3\left(x^{2}+y^{2}\right)-2 x+6 y-9=0 \) which is ... 2022-10-27 For each \( k \in N \), let \( C_{k} \) denote the circle whose equation is \( x^{2}+y^{2}=k^{2}... 2022-10-27 The equation of the circumcircle of an equilateral triangle is \( x^{2}+y^{2}+2 g x+2 f y+c=0 \)... 2022-10-27 Let \( f(x, y)=0 \) be the equation of a circle. If \( (0, \lambda)=0 \) has equal roots \( \lam... 2022-10-27 Two circles, each of radius 5 , have a common tangent at \( (1,1) \) whose equation is \( 3 x+4 ... 2022-10-27 The equation of the incircle of the triangle formed by the axes and the line \( 4 x+3 y=6 \) is
...