English Medium इयत्ता १० - CBSE Question Bank Solutions

The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is 

If A (2, 2), B (−4, −4) and C (5, −8) are the vertices of a triangle, than the length of the median through vertex C is

If three points (0, 0), \[\left( 3, \sqrt{3} \right)\]  and (3, λ) form an equilateral triangle, then λ =

If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k

The coordinates of the point on X-axis which are equidistant from the points (−3, 4) and (2, 5) are

If (−1, 2), (2, −1) and (3, 1) are any three vertices of a parallelogram, then

If A (5, 3), B (11, −5) and P (12, y) are the vertices of a right triangle right angled at P, then y=

The area of the triangle formed by (a, b + c), (b, c + a) and (c, a + b)

If (x , 2), (−3, −4) and (7, −5) are collinear, then x =

If points (t, 2t), (−2, 6) and (3, 1) are collinear, then t =

If the area of the triangle formed by the points (x, 2x), (−2, 6)  and (3, 1) is 5 square units , then x =

If points (a, 0), (0, b) and (1, 1)  are collinear, then \[\frac{1}{a} + \frac{1}{b} =\]

If the centroid of a triangle is (1, 4) and two of its vertices are (4, −3) and (−9, 7), then the area of the triangle is

The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio. 

The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) is

 The ratio in which the x-axis divides the segment joining (3, 6) and (12, −3) is

If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a³ + b³ + c³ =

If Points (1, 2) (−5, 6) and (a, −2) are collinear, then a =

If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) =

The distance of the point (4, 7) from the x-axis is