JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

A common tangent T to the curves : and : does not pass through the fourth quadrant. If T touches at (, ) and at (, ), then is equal to .

Answer: 20

Solution

The tangent of slope m to is y = mx + and to is y = mx + . For a common tangent , so , and since the tangent does not pass through the fourth

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Question ID VK-034354