English Medium कक्षा १० - CBSE Question Bank Solutions

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

If P is a point on x-axis such that its distance from the origin is 3 units, then the coordinates of a point Q on OY such that OP = OQ, are

If the points(x, 4) lies on a circle whose centre is at the origin and radius is 5, then x =

If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then

If points A (5, p) B (1, 5), C (2, 1) and D (6, 2) form a square ABCD, then p =

The coordinates of the circumcentre of the triangle formed by the points O (0, 0), A (a, 0 and B (0, b) are

The coordinates of a point on x-axis which lies on the perpendicular bisector of the line segment joining the points (7, 6) and (−3, 4) are

If the centroid of the triangle formed by the points (3, −5), (−7, 4), (10, −k) is at the point (k −1), then k =

If (−2, 1) is the centroid of the triangle having its vertices at (x , 0) (5, −2),  (−8, y), then x, y satisfy the relation

The coordinates of the fourth vertex of the rectangle formed by the points (0, 0), (2, 0), (0, 3) are

The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be

The ratio in which the line segment joining P (x₁, y₁) and Q (x₂, y₂) is divided by x-axis is

The ratio in which the line segment joining points A (a₁, b₁) and B (a₂, b₂) is divided by y-axis is

If the line segment joining the points (3, −4), and (1, 2) is trisected at points P (a, −2) and Q \[\left( \frac{5}{3}, b \right)\] , Then,

f the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are

The coordinates of the point P dividing the line segment joining the points A (1, 3) and B(4, 6) in the ratio 2 : 1 are

 In Fig. 14.46, the area of ΔABC (in square units) is

The point on the x-axis which is equidistant from points (−1, 0) and (5, 0) is

If A(4, 9), B(2, 3) and C(6, 5) are the vertices of ∆ABC, then the length of median through C is

If P(2, 4), Q(0, 3), R(3, 6) and S(5, y) are the vertices of a parallelogram PQRS, then the value of y is