Nootan solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 12 - Equation of a line [Latest edition]

Find the slope of the line whose inclination is given as 60°.

Find the slope of the line whose inclination is given as 45°.

Find the inclination of a line whose slope (gradient) is 1.

Find the inclination of the line whose slope is `1/sqrt3`.

Find the equation of the line parallel to the Y-axis and at a distance of 3 units to the right of it.

Write the equation of the line: parallel to the Y-axis and at a distance of 5 units from it and to the left of it.

Find the equation of the line parallel to the X-axis and at a distance of 2 units above it.

Obtain the equation of the line which is: parallel to the X-axis and 3 units below it.

Find the equation of the line parallel to the X-axis and passing through the point (3, −4).

Find the equation of the line parallel to the X-axis and passing through the point (0, 2).

Find the equation of the line that is parallel to the Y-axis and passes through the point (3, −4).

Find the equation of the line perpendicular to the X-axis and passing through the origin.

Find the equation of the line perpendicular to the X-axis and passing through the point (−1, −1).

Find the equation of the line that passes through the point (−2, −5) and is perpendicular to the Y-axis.

Find the equation of a line through the origin that makes an angle with the positive X-axis equal to 45°.

Find the equation of the bisector of the angles between the coordinate axes in the first quadrant.

Determine the equation of a line passing through the point (−1, −2) and having slope `4/7`.

Determine the equation of a line passing through the point (−1, 2) with slope 4.

Find the equation of the line that satisfies the given condition:

Passing through the point (−4, 3) with slope `1/2`.

Determine the equation of a line passing through `(sqrt2, 2sqrt2) "with slope"  2/3`.

Determine the equation of a line passing through (2, 2) and inclined to the X-axis at an angle of 45°.

Determine the equation of a line passing through (−2, 3) and making an angle of 60° with the positive direction of the X-axis.

Find the equation of a line intersecting the X-axis at a distance of 3 units to the left of the origin and of slope −2.

Find the equation of the strainght line intersecting y-axis at a distance of 2 units above the origin and making an angle of 30° with the positive direction of the x-axis.

Find the equations of the line passing through the points (−1, 1) and (2, −4).

Find the equations of the line passing through the points (0, −3) and (5, 0).

Find the equations of the line passing through the points (−1, −2) and (2, 1).

Find the equations of the line passing through the points (2, 3) and (5, −2).

Find the equations of the median through vertex A of the triangle whose vertices are A(2, 5), B(−4, 9), and C(−2, −1).

Find the equations of the medians of a triangle, the coordinates of whose vertices are (−1, 6), (−3, −9) and (5, −8).

Show that the points (1, 4), (3, −2), and (−3, 16) are collinear. Find the equation of the line through them.