Grade 11Analytical Geometry
Q.The equation x²/(10-a)+y²(4-a)=1 represents an ellipse if?
Q.The equation x²/(10-a)+y²(4-a)=1 represents an ellipse if?
1 Answer
kkbisht
Dear student:
Equation of ellipse is x²/(10-a)+y²(4-a)=1
Condition for a second degree equation in x & y given by ax2 + 2hxy + by2 +2gx + 2fy +c=0 to represent a conic section (ellipse) if 
0 and h2 af2 +bg2 +ch2 which is true but second condition h2
0
(10-a)/(4-a) or (10-a)/(4-a)>0 => case 1: 10-a>0 and (4-a) >0 => 10>a and 4>a => a
case 2; 10-a a>10 10
The values of a10
kkbisht
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