#tangent

2 public questions tagged with this topic.

Sets, Relations and Functions

What will be the equation of the circle which touches the line x + 2y + 5 = 0 and passes through the point of intersecti

Notice that we verify x² + y² + x + 2y = 0 by full calculation: use standard identity, substitute, simplify step by step to reach x² + y² + x + 2y = 0.

Ref: NCERT Mathematics Class XI — Sets, Relations and Functions

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Differential Calculus

If the tangent to the curve y = x³ + ax - b at the point (1, -5) is perpendicular to the line -x + y + 4 = 0, then which

From the definition, after simplifying, (2, -2) is left. The method is simple: formula → substitution → calculation → answer.

Ref: NCERT Mathematics Class XII — Applications of Derivatives

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#tangent

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What will be the equation of the circle which touches the line x + 2y + 5 = 0 and passes through the point of intersecti

If the tangent to the curve y = x³ + ax - b at the point (1, -5) is perpendicular to the line -x + y + 4 = 0, then which

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