Q

Coordinate Geometry 2

(5 Questions)
8 viewed last edited 4 years ago
This quiz explains the section formula and questions based on the formula.
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The midpoint between the points (x, 5) and (3, y) is (-2, 1). What are the values of x and y?
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Find the coordinates of the points which divide the join of X (-1, 7) and Y (4, -3) in the ratio 7 : 2.
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In what ratio does the point P(3, -7) divide the line segment joining B(-5, 11) and (4, -7)?
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Given A = (-3, 6), what are the coordinates of B (x_2, y_2) if point P = (-2, 4) divides line segment AB internally in the ratio 1 : 3?
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Section formula is helpful in coordinate geometry, for instance, it can be used to find out the centroid, incenter, and excenters of a triangle. If point P(x, y) lies on line segment AB and satisfies AP : PB = m : n then we say that P divides AB internally in the ratio m : n The coordinates of the point of division has the coordinates P =(\frac{m x_2 + n x_1}{m+n}, \frac{m y_2 + n y_1}{m+n}) Find the coordinates of the points which divide the join of P (-1, 7) and Q (4, -3) in the ratio 2 : 3.
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by Krishna