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Show that the following curves cut ortho...

Show that the following curves cut orthogonally
`x^(2)+y^(2)=25,2x^(2)-9y+18=0`

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Show that the following curves cut orthogonally 4y^(2)-x^(2)=8, 2x^(2)+y^(2)=20

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The two curves x^2+y^2=25,2x^2-9y+18=0

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+3x+2y+1=0 x^2+y^2-x+6y+5=0 x^2+y^2+5x-8y+15=0

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+2x+17y+4=0 x^2+y^2+7x+6y+11=0 x^2+y^2-x+22y+3=0

AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Show that the part of the tangent to the curve xy=a^(2) included betwe...

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  2. The area of the triangle formed by the tangent and the normal at the p...

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  3. Show that the following curves cut orthogonally x^(2)+y^(2)=25,2x^(2...

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  4. Show that the following curves cut orthogonally 4y^(2)-x^(2)=8, 2x^(...

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  5. Find the angle between the curves y=2x,x^(3)+y^(3)=6xy

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  6. Find the angle between the curves x^(2)+y^(2)=4,x^(2)=3y

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  7. Find the angle between the curves y^(2)=8x,x^(2)=4y-12

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  8. Find the length of the tangent, length of the normal, the subtangent, ...

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  9. Find the length of the tangent, length of the normal, the subtangent, ...

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  10. Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of th...

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  11. The curve y^2=(x+a)^3, the square of the subtangent is ..... Subnormal

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  12. The length of the tangent to the curve x=a(cost+logtant/2),y=asint at ...

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  13. The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

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  14. If the normal to the curve y=f(x) at (1, 2) make an angle (3pi)/(4) wi...

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  15. If the line x + y = k is a normal to the curve y2 = 12x, find the valu...

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  16. If the line ax + by + c = 0 is a normal to the curve xy = K^(2) then s...

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  17. Show that the points of contact of the tangents drawn from the origin ...

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  18. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

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  19. The normal at a point on the curvey^(2)=4ax is lx+my=1. Show that al^(...

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  20. If the slop of the tangent to the curve e^(y)=1x^(2) at any point is m...

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