help@askiitians.com

1800-150-456-789

Differential Calculus> TANGENTS AND NORMALS find the values of a...

question mark

TANGENTS AND NORMALS
find the values of a and b if the slope of the tangent to the curve xy + ax + by = 2 at (1,1) is 2.

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

$xy + ax + by = 2$
Slope of tangent:
$xy' + y + a + by' = 0$
y’ = 2 at (1, 1)
$2 + 1 + a + 2b = 0$
$a + 2b = -3$ …....(1)
Also line passing through (1, 1)
$1 + a + b = 2$
$a + b = 1$ ….....(2)
Solving (1) and (2), we have
$a = 5, b = -4$

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

1 Answer Available

Last Activity: 2 Years ago

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

View all Questions