Application of DerivativeHard
Question
If tangent at a point of the curve y = f(x) is perpendicular to 2x - 3y = 5, then at that point 
equal -
equal -Options
A.2/3
B.-2/3
C.3/2
D.-3/2
Solution
Slope of tangent is 
Slope of line 2x - 3y = 5 is
and tangent is perpendicular this line.
∴
Slope of line 2x - 3y = 5 is
and tangent is perpendicular this line.
∴
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
If the line ax + by + c = 0 is a normal to the curve xy = 1, then...If at any point (x1, y1) on the curve the subtangent and subnormal are equal, then the length of tangent is equal to-...An inverted cone has a depth of 10 cm and a base of radius 5 cm. Water is poured into it at the rate of 3/2 c.c. per min...The length of subtangent at the point x = a of the curve ay2 = (a + x)2 (3a − x) is-...The radius of a circle is increasing at the rate of 0.7 cm/sec. The rate of increase of its circumference is -...