2y - x -5 = 0
2y + x - 5 = 0
2y + x + 5 = 0
2y - x + 5 = 0
Correct answer is A
We are given the equation x2+y2−4x−2y=0
y=x2+y2−4x−2y
Using the method of implicit differentiation,
dydx=2x+2ydydx−4−2dydx
For the tangent, dydx=0,
∴
(2y - 2)\frac{\mathrm d y}{\mathrm d x} = 4 - 2x \implies \frac{\mathrm d y}{\mathrm d x} = \frac{4 - 2x}{2y - 2}
At (1, 3), \frac{\mathrm d y}{\mathrm d x} = \frac{4 - 2(1)}{2(3) - 2} = \frac{2}{4} = \frac{1}{2}
Equation: \frac{y - 3}{x - 1} = \frac{1}{2} \implies 2y - 6 = x - 1
= 2y - x - 6 + 1 = 2y - x - 5 = 0
Find the range of values of x for which 2x^2 + 7x - 15 ≥ 0....
Differentiate \frac{5x^{3} + x^{2}}{x}, x\neq 0 with respect to x....
Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,... ...
Evaluate tan 75^o; leaving the answer in surd form (radicals) ...
Evaluate \int_{1}^{2} [\frac{x^{3} - 1}{x^{2}}] \mathrm {d} x...
A linear transformation on the oxy plane is defined by P : (x, y) → (2x + y, -2y). Find \(P...
Which of the following sets is equivalent to (P \cup Q) \cap (P \cup Q')?...
Evaluate \frac{1}{1 - \sin 60°}, leaving your answer in surd form....
Find the value of x for which 6\sqrt{4x^2 + 1} = 13x, where x > 0...
Consider the following statements: p: Birds fly q: The sky is blue r: The grass is green W...