A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If BAC = 90°, and ar(ABC) = 55sq. units, then the abscissa of the vertex C is :
Let P(3, 3) be a point on the hyperbola, . If the normal to it at P intersects the x-axis at (9,0) and e is its eccentricity, then the ordered pair (a2, e2) is equal to :
The mean and variance of 8 observations are 10 and 13.5 respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is :
9
5
3
7
D.
7
Let be agiven ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function then a2 + b2 is equal to
145
126
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135