In rhombus ABCD, the co-ordinates of point A and C are (2, -6) and (-4, 8) respectively. Find the equation of the diagonal BD.

In a rhombus, Diagonals bisect each other and are perpendicular. So, mid-point of AC = mid-point of BD. By formula, Mid-point = Let O be the point of intersection of diagonal AC and BD. Substituting values we get : By formula, Slope of line = Substituting values we get : Slope of AC = . We know that, Product of slope of perpendicular lines = -1. ⇒ Slope of AC × Slope of BD = -1 ⇒ Slope of BD = -1 ⇒ Slope of BD = . By point-slope form, Equation of line : y - y 1 = m(x - x 1 ) BD also passes through point O. So, Equation of line BD is Hence, equation of line BD is 7y - 3x = 10.

In the given figure, AB is diameter and PC is tangent to the circle with center O. If AP = 40 cm, CP = 20 cm, find the radius of the circle.

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For what value of n, the nth term of A.P. 63, 65, 67, ….. and nth term of A.P. 3, 10, 17, …… are equal ?

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Using remainder theorem, factorise 6x³ - 11x² - 3x + 2 completely.

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Mathematics

In rhombus ABCD, the co-ordinates of point A and C are (2, -6) and (-4, 8) respectively. Find the equation of the diagonal BD.

Straight Line Eq

Related Questions

In the given figure, AB is diameter and PC is tangent to the circle with center O. If AP = 40 cm, CP = 20 cm, find the radius of the circle.

For what value of n, the nth term of A.P. 63, 65, 67, ….. and nth term of A.P. 3, 10, 17, …… are equal ?

Using remainder theorem, factorise 6x³ - 11x² - 3x + 2 completely.

Mathematics

In rhombus ABCD, the co-ordinates of point A and C are (2, -6) and (-4, 8) respectively. Find the equation of the diagonal BD.

Straight Line Eq

Related Questions

In the given figure, AB is diameter and PC is tangent to the circle with center O. If AP = 40 cm, CP = 20 cm, find the radius of the circle.

For what value of n, the nth term of A.P. 63, 65, 67, ….. and nth term of A.P. 3, 10, 17, …… are equal ?

Using remainder theorem, factorise 6x3 - 11x2 - 3x + 2 completely.

Using remainder theorem, factorise 6x³ - 11x² - 3x + 2 completely.