Question

find the equation of line join the points (0,5) and (0,-3)​

Answer 1

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12th

Maths

Application of Derivatives

Tangents and Normals

If the line joining the poi...

MATHS

If the line joining the points (0,3) and (5,−2) is the tangent to the curve y=

x+1

c

then the value of c is

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ANSWER

Slop of line joining the points (0,3)and(5,2) is given by

0−5

3+2

=−1

This is equal to the slop of tangent on the curve and that is given by

dx

dy

=

(x+1)

2

−c

dx

dy

=−1

⇒c=(x+1)

2

...................(1)\

Equation of line joining the points (0,3)and(5,2) is given by

(y−3)=−1(x−0)

Solving equation of tangent and the curve for point of intersection

x+1

c

+x=3.............(2)

Solving (1) and (2)

x=1

Putting this in (2), we get c=4