Application of DerivativeHard
Question
The abscissa of the point on the curve √xy = a + x, the tangent at which cuts off equal intercepts from the co-ordinate axes is (a > 0)
Options
A.
B.
C.a√2
D.-a√2
Solution
y =
⇒ y =
+ 2a + x
+ 1 = - 1 (for equal intercepts)
x2 =
⇒ x = ± 
x2 =
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The length of the sub tangent at any point of the curve y = ax3 is-...The side of a square sheet is increasing at the rate of 4 cm per minute. The rate by which the area increasing when the ...The rate of change of the area of a circular disc with respect to its circumference when the radius is 3 cm, is-...The real number k for which the equation 2x3 + 3x + k = 0 has two distinct real roots in [0, 1]...The coordinates of the point of the parabola y2 = 8x , which is at minimum distance from the circlex2 + (y + 6)2 = 1 are...