A spherical balloon is being inflated at the rate of 35 cc/min. The rate of increases of the surface area ofthe balloon when its diameter is 14cm, is
7 sq cm/min
10 sq cm/min
17.5 sq cm/min
28 sq cm/min
The equation of the plane through the point (2, - 1, - 3) and parallel to the lines and is :
8x + 14y + 13z + 37 = 0
8x - 14y + 13z + 37 = 0
8x + 14y - 13z + 37 = 0
8x + 14y + 13z - 37 = 0
A.
8x + 14y + 13z + 37 = 0
Given equations of lines are
and .
Equation of plane is
a(x - 2) + b(y + 1) + c(z + 3) = 0
Now, given lines are parallel to it.
3a + 2b - 4c = 0
and 2a - 3b + 2c = 0
Elimination of a, b and c gives
= 0
If for a plane, the intercepts on the co-ordinate axes are 8, 4, 4, then the length of the perpendicular from the origin on to the plane is :
3