Online Short Questions Preparations

The xy-coordinate axes are translated through the point O' (4, 6). The coordinates of the point P are (2, -3) referred to new axes. Find the coordinates of P referred to the original axes.

• Ans 1:

Find the slope and inclination of the line bisecting the first and third quadrant.

• Ans 1: Inclination of the line = 45°
  slop of the line = tan 45° = 1

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

Define Trapezium.

• Ans 1: A quadrilateral having two parallel and two non-parallel sides is called Trapezium.

• Ans 1:

• Ans 1:

• Ans 1:

Define ortho-centre of a triangle.

• Ans 1: The ortho-centre of a triangle is the point of intersection of the lines through the vertices and perpendicular to the opposite sides (altitudes) of the triangle.

• Ans 1:

• Ans 1:

Find the slope and inclination of the line bisecting the first and third quadrant.

• Ans 1: Inclination of the line = 45°
  slop of the line = tan 45° = 1

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

Define translation of axes.

• Ans 1: in translation of axes, origin is shifted to another point in the plane but the axes remain parallel to the old axes.

Define slope-intercept form of a line.

• Ans 1: The line y = mx + c is the slope-intercept form of a non-vertical straight line with slope m and y-intercept is c.

• Ans 1:

• Ans 1:

• Ans 1:

Define circum-centre of a triangle.

• Ans 1: The point of intersection of the perpendicular bisectors of the sides of a triangle is called its circum-centre.

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

The xy-coordinate axes are translated through the point O' (4, 6). The coordinates of the point P are (2, -3) referred to new axes. Find the coordinates of P referred to the original axes.

• Ans 1:

Find the slope and inclination of the line bisecting the first and third quadrant.

• Ans 1: Inclination of the line = 45°
  slop of the line = tan 45° = 1

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

Define centroid of a triangle.

• Ans 1: The centroid of a triangle is the point of intersection of its medians (the line joining a vertex to the middle point of the opposite side).

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

The xy-coordinate axes are translated through the point O' (4, 6). The coordinates of the point P are (2, -3) referred to new axes. Find the coordinates of P referred to the original axes.

• Ans 1:

Define centroid of a triangle.

• Ans 1: The centroid of a triangle is the point of intersection of its medians (the line joining a vertex to the middle point of the opposite side).

• Ans 1:

• Ans 1: