Question:
The order and degree of differential equation of all tangent lines to the parabola $x^2 = 4y$ is respectively.
The order and degree of differential equation of all tangent lines to the parabola $x^2 = 4y$ is respectively.
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Order = highest derivative, degree = its power.
Updated On: Apr 26, 2026
- 1, 2
- 2, 2
- 3, 1
- 4, 1
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The Correct Option is A
Solution and Explanation
Concept:
Differentiate and eliminate parameter. Step 1: Differentiate. \[ 2x = 4\frac{dy}{dx} \]
Step 2: Eliminate. Degree = 2, order = 1
Step 3: Conclusion. Order = 1, Degree = 2
Differentiate and eliminate parameter. Step 1: Differentiate. \[ 2x = 4\frac{dy}{dx} \]
Step 2: Eliminate. Degree = 2, order = 1
Step 3: Conclusion. Order = 1, Degree = 2
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