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" 32."4x^(2)-9y^(2)-2x-3y...

" 32."4x^(2)-9y^(2)-2x-3y

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The eccentricity of the hyperbola 4x^(2) - 9y^(2) - 8x - 32 = 0 is

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Find the eccentricity, length of latus rectum, centre, foci, vertices and the equatioin to the dircctriccs of the hyperola. (i) 4x^(2)-5y^(2)-16x+10y+31=0 (ii) 5x^(2)-4y^(2)+20x+8y-4=0 (iii) 4(y+3)^(2)-9(x-2)^(2)=1 (iv) 4x^(2)-9y^(2)-8x-32=0

Factorise : 4x^2-9y^2-2x-3y

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The sets S and E are defined as given below: S={(x,y): |x-3|lt1and|y-3|lt1} and E={(x,y):4x^(2)+9y^(2)-32x-54y+109le0} . Show that SsubE .