EXERCISE 8 A Q. 20
Q.20) The slope of the tangent to the curve y = √4-x2 at the point, where the ordinate and the abscissa are equal, is
Q.20) The slope of the tangent to the curve y = √4-x2 at the point, where the ordinate and the abscissa are equal, is
Correct
Try again
Try again
Try again
The pointis at which the tangent is drawn is such the ordinate and the abscissa are equal, that is y=x. The slope of the tangent is the value of dy/dx at a given point .
y2 = 4 - x2
Since x = y , by substituting in the equation, we get
2x2 = 2
∴ x = y = √2
Answer : (a)