Class 10 Maths21)
The length of the median through A of \(\triangle\)ABC with vertices A(7, -3), B(5, 3) and C(3, -1) is
5 units
Class 10 Maths22)
The centroid of a triangle whose vertices are (x1, y1), (x2, y2) and (x3, y3) is given by
\(\left( {\frac{{{x_1} + {x_2} + {x_3}}}{3},\frac{{{y_1} + {y_2} + {y_3}}}{3}} \right)\)
Class 10 Maths23)
If x is a positive integer such that the distance between points P (x, 2) and Q (3, - 6) is 10 units, then x =
9
Class 10 Maths24)Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D are
(4, 2)
Class 10 Maths25)If the point R(x, y) divides the join of P(x1, y1) and Q(x2, y2) internally in the given ratio m1 : m2, then the coordinates of the point R are
\(\left( {\frac{{{m_2}{x_1} - {m_1}{x_2}}}{{{m_1} + {m_2}}},\frac{{{m_2}{y_1} - {m_1}{y_2}}}{{{m_1} + {m_2}}}} \right)\)
Class 10 Maths26)The fourth vertex D of a parallelogram ABCD whose three vertices are A (-2, 3), B (6, 7) and C (8, 3) is
(0, -1)
Class 10 Maths27)If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k
\(\frac{-1}{3}\)
Class 10 Maths28)The coordinates of the mid-point of the line segment joining the points (x1, y1) and (x2, y2) is given by
\(\left( {\frac{{{x_1} + {x_2}}}{2},\frac{{{y_1} + {y_2}}}{2}} \right)\)
Class 10 Maths29)The point on the x-axis which is equidistant from points (-1, 0) and (5, 0) is
(2, 0)
Class 10 Maths30)If the points A(2, 3), B(5, k) and C (6,7) are the collinear then
k = 6