theorems

Parin Sir > theorems

Aug

Examples 6 to 10 of Co–Ordinate Geometry

If the co–ordinates of centroid of Δ ABC with A (4, 2), B (2, 2a) and C (0, 2) are equal, then find the value of a.

Soln. Centroid G =

Posted in: Examples 6 to 10 of Co–Ordinate Geometry,

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Aug

Orthogonal Curves

☼ Orthogonal Curves : If the tangents of both the curves at their point of intersection are perpendicular to each other, then the both curves are called orthogonal curves.

↦ Two circles S : x² + …

Posted in: Orthogonal Curves,

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Aug

Length of a Tangent

☼ Length of a Tangent :–

Two tangents to a circle can be drawn from a point lying in the exterior of the circle.

In this case,

PT₁ = PT₂
PC bisects

Posted in: Length of a Tangent,

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Aug

Tangent

☼ Tangent :–

(i) Equation of a tangent to a circle S : x² + y² = r² at point M ( x₁, y₁ ) is x₁x + y₁y = r². And eq…

Posted in: Tangent,

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Aug

The relation between a circle S

☼ The relation between a circle S : x² + y² + 2gx + 2fy + c = 0 = 0 and a point (x₁, y₁) in its plane :

(i) If

Posted in: The relation between a circle S,

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Aug

Equation of a Circle

☼ Equation of a Circle :–

Parametric Equation of a circle with centre ( h, k) and radius = r :

x = h + r cosθ and y = k + r sinθ : Where, θ ∈ ( – π, π]

P…

Posted in: Equation of a Circle,

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13

Aug

Circle
☼ CIRCLE ☼

☼ Condition for the General Quadratic Equation represents a circle :–

Posted in: Circle,

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