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If the radii of the circles `(x-1)^2+(y-2)^2+(y-2)^2=1` and `(-7)^2+(y-10)^2=4` are increasing uniformly w.r.t. time as 0.3 units/s and 0.4 unit/s, respectively, then at what value of `t` will they touch each other?

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If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 are increasing uniformly w.r.t. times as 0.3 unit/s is and 0.4 unit/s, then they will touch each other at t equal to (a) 45s (b) 90s (c) 10s (d) 135s

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch i...

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  2. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

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  3. If the radii of the circles (x-1)^2+(y-2)^2+(y-2)^2=1 and (-7)^2+(y-10...

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  4. Aa n dB are two points in the xy-plane, which are 2sqrt(2) units dista...

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  5. Two circles with radii a and b touch each other externally such that t...

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  6. From the variable point A on circle x^2+y^2=2a^2, two tangents are dra...

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  7. Two fixed circles with radii r1 and r2,(r1> r2) , respectively, touch ...

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  8. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  9. Find the radius of the smallest circle which touches the straight line...

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  10. The number of points P(x , y) lying inside or on the circle x^2+y^2=9 ...

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  11. C1 and C2 are circle of unit radius with centers at (0, 0) and (1, 0),...

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  12. The area of the triangle formed by the positive x- axis and the norma...

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  13. Find the equation of the smallest circle passing through the point of ...

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  14. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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  15. Show that the equation of the circle passing through (1, 1) and the ...

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  16. A straight line moves such that the algebraic sum of the perpendicular...

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  17. Let S1 be a circle passing through A(0,1) and B(-2,2) and S2 be a circ...

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  18. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

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  19. A variable circle which always touches the line x+y-2=0 at (1, 1) cuts...

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  20. The range of parameter ' a ' for which the variable line y=2x+a lies b...

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