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The image of the centre of a circle (x-2)2+(y-1)2=9 w.r.t. the line y=x moves 2 units along (N-E) direction then the co-ordinates of the centre in the new position is

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Important Questions on Conic Section

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 49
The equation of the circle whose radius is 5 and which touches the circle x2+y2-2x-4y-20=0 externally at the point 5, 5, is x2+y2-18x+λy+μ=0 then λ+μ is equal to
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 50
A circle has radius 3 units and its centre lies on the line y=x-1. If the circle passes through point 7, 3 and has centre at point h, k then hk is
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 51
If the length of the tangent from any point on the circle (x-3)2+(y+2)2=5r2 to the circle (x-3)2+(y+2)2=r2 is 16 units, then the area between the two circles is λπ sq. units then λ is equal to
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 52
The point of contact of the tangent to the circle x2+y2=5 at the point 1, -2 which touches the circle x2+y2-8x+6y+20=0, is h, k then 2h2+3k2 is equal to
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 53
The equation of the circle having the lines x2+2xy+3x+6y=0 as its normals and having size just sufficient to contain the circle xx-4+yy-3=0 is x2+y2+λx-3y-μ=0, where λ, μ∈N, then λ+μ is equal to
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 54
If the circles of same radius a and centres at 2, 3 and 5, 6 cut orthogonally, then a is equal to
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 55
The length of the diameter of the circle which cuts three circles x2+y2-x-y-14=0,x2+y2+3x-5y-10=0,x2+y2-2x+3y-27=0 orthogonally is
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 1
The point of intersection of the lines x-y+1=0 and x+y+5=0 is P. A circle with centre at (1, 0) passes through P. The tangent to the circle at P meets the x-axis at (k, 0). The value of k is