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Grade 12Differential Calculus

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.

Profile image of taniska
11 Years agoGrade 12
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1 Answer

Profile image of Jitender Singh
11 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

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