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State the conditions under which the equation ax2 + by® + 2hxy + 2fy +298 + c = 0 denotes each of the conic sections , axes rectangular . Find the condition under which it denotes two straight lines ? 5. The line y = mx + h is to touch ...
State the conditions under which the equation ax2 + by® + 2hxy + 2fy +298 + c = 0 denotes each of the conic sections , axes rectangular . Find the condition under which it denotes two straight lines ? 5. The line y = mx + h is to touch ...
Pagina
Prove that the polar equation to any conic is 1 where l is the latus rectum . 1 7. Develope the equation of a tangent to an Ellipse or Ilyperbola , ( a ) in terins of the angle which it makes 2p = 1 + e cos 0 with the x - axis ...
Prove that the polar equation to any conic is 1 where l is the latus rectum . 1 7. Develope the equation of a tangent to an Ellipse or Ilyperbola , ( a ) in terins of the angle which it makes 2p = 1 + e cos 0 with the x - axis ...
Pagina
Write the cqnation of a normal to the ellipse , and show that the length of normal intercepted between the 6 curve and the x - axis is Vtif , when fi fu are focal distances . 10. Show how the various conic sections may be obtained from ...
Write the cqnation of a normal to the ellipse , and show that the length of normal intercepted between the 6 curve and the x - axis is Vtif , when fi fu are focal distances . 10. Show how the various conic sections may be obtained from ...
Pagina
+ ( in3 ) 2 = ( ny ) " denotes a conic with respect to which a = 0 , B = 0 , y = 0 , are the sides of a self - conjugate triangle . 10. If three conics have each double contact with a fourth their six chords of intersection form ...
+ ( in3 ) 2 = ( ny ) " denotes a conic with respect to which a = 0 , B = 0 , y = 0 , are the sides of a self - conjugate triangle . 10. If three conics have each double contact with a fourth their six chords of intersection form ...
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