Two fixed points \( P \) and \( Q \) are 4 units apart and are on same side of a variable line \... VIDEO
Two fixed points \( P \) and \( Q \) are 4 units apart and are on same side of a variable line \( L \). Let \( P M \) and \( Q N \) are perpendicular distance of \( P \) and \( Q \) from line \( L \) satisfy equation \( P M+3 Q N \) \( =4 \), then line \( L \) always touches a circle \( C \)
(a) the centre of circle \( C \) lies on line \( P Q \)
(b) the radius of circle is 1
(c) the radius of circle is 2
(d) the centre of the circle \( C \) lies on perpendicular bisector of \( P Q \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Comprehension
To the circle \( x^{2}+y^{2}=4 \) two tangents are drawn from \( \mathrm{P}(-4,0) ... 2023-07-03 Comprehension
Two circles \( \mathrm{S}_{1}: x^{2}+y^{2}-2 x- \) \( 2 y-7=0 \) and \( S_{2}: x^{... 2023-07-03 Comprehension
To the circle \( x^{2}+y^{2}=4 \) two tangents are drawn from \( \mathrm{P}(-4,0) ... 2023-07-03 Consider a curve \( a x^{2}+2 h x y+b y^{2}=1 \) and a point \( P \) not on the curve. A line is... 2023-07-03 Comprehension
Two circles \( \mathrm{S}_{1}: x^{2}+y^{2}-2 x- \) \( 2 y-7=0 \) and \( S_{2}: x^{... 2023-07-03 Comprehension
Two circles \( \mathrm{S}_{1}: x^{2}+y^{2}-2 x- \) \( 2 y-7=0 \) and \( S_{2}: x^{... 2023-07-03 Comprehension
Let \( C_{1}, C_{2} \) are two circles each of radius 1 touching internally the si... 2023-07-03 Comprehension
Let \( C_{1}, C_{2} \) are two circles each of radius 1 touching internally the si... 2023-07-03 Comprehension \( \quad \) Let \( C_{1}, C_{2} \) are two circles each of radius 1 touching inter... 2023-07-03 A circle \( C \) is tangent to the \( x \) and \( y \)-axis in first quadrant at the points \( P... 2023-07-03 Two fixed points \( P \) and \( Q \) are 4 units apart and are on same side of a variable line \... 2023-07-03 A circle passes through \( A(0,4) \) and \( B(8,0) \) has its centre on \( x \)-axis. If point \... 2023-07-03 Locus of the centre of a circle touching the circle \( x^{2}+y^{2}-4 y-2 x=\frac{7}{4} \) intern... 2023-07-03 Two circles with radii \( r_{1} \) and \( r_{2} \) , \( r_{1}r_{2} \geq 2 \), touch each othe... 2023-07-03 Let \( C \) be the circle \( x^{2}+y^{2}=1 \) in the \( x y \)-plane. For each \( t \geq \) 0 , ... 2023-07-03 Curves \( a x^{2}+2 h x y+b y^{2}-2 g x-2 f y+c=0 \) and \( a^{\prime} x^{2}-2 h x y+ \) \( \lef... 2023-07-03 A circle is inscribed into a rhombus \( A B C D \) with one angle \( 60^{\circ} \). The distance... 2023-07-03 Let \( A B C D \) be a square of side length 1 and a circle passing through \( B \) and \( C \),... 2023-07-03 A circle passing through the points \( (3, \sqrt{7 / 2}) \) thouches the pair of lines \( x^{2}-... 2023-07-03 Two equation of the circle which touches the axes of coordinates and the line \( \frac{x}{3}+\fr... 2023-07-03 If a circle having centre at \( (\alpha, \beta) \) cut the circles \( x^{2}+y^{2}-2 x \) \( -2 y...