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Aug

Examples 21 to 23 of Co–Ordinate Geometry

Find the no. of common tangent to x² + y² = 4 and x² + y² – 8y + 12 = 0.

Soln. The centre of the first circle is C₁(0, 0…

Posted in: Examples 21 to 23 of Co–Ordinate Geometry,

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Aug

Examples 16 to 20 of Co–Ordinate Geometry

Find the perpendicular distance between two lines 3x + 4y – 2 = 0 and 6x + 8y – 1 = 0.

Soln. Here, both the lines are 6x + 8y – 4 = 0 and 6x + 8y – 1 = 0.

∴ p =

Posted in: Examples 16 to 20 of Co–Ordinate Geometry,

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Aug

Examples 11 to 15 of Co–Ordinate Geometry

In a rectangle ABCD, if B (3, 1) and D (7, 5) are the endpoints of diagonal $\overline{\mathrm{BD}}$ . If slope of

Posted in: Examples 11 to 15 of Co–Ordinate Geometry,

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13

Aug

Examples 1 to 5 of Co–Ordinate Geometry

The distance between (a, 0) and (0, a) is …………..

Soln. Distance = $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Posted in: Examples 1 to 5 of Co–Ordinate Geometry,

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13

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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13

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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13

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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