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  Item Reference: KCLCAL-1891-1892-813

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engineering department CXXV III -IHatyemattr SECOND AND THIRD YEARS Snalntual CI 1mtetrj What are meant by the cartesian coordinates of point Prove that the locus of points whose coordinates satisfy an equation of the first degree is straight line Find the equations of the sides of the triangle whose ver- tices are at the points Shew that homogeneous equation of the nth degree denotes η straight lines passing through the origin Find the condition that ax2 2h rj bf Zgx 2$ can be transformed into homogeneous equation of the second degree Through point Ρ straight line is drawn parallel to the bisector of the angle between the axes supposed rectan- gular and iatersecting given circle having the origin as centre in and Find the locus of Ρ when the sum of the squares on PA and Ρ Β is constant Find the equation of the circle through the origin and through and Write down the equation to the tangent at the origin and obtain the coordinates of the points on the circle at which the tangent is inclined at an angle of 45 to this line point moves so that its distance from fixed line is equal to its distance from fixed point find the equation of the locus Shew that tangents at right angles intersect on straight line Find the focus and directrix of 1xy ן 18 -2y 17 and trace the curve
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