Find the equations of the diagonals of a rectangle whose sides are x = -1, x = 2, y = -2 and y = 6.

These lines x = -1, x = 2, y = -2 and y = 6 form a rectangle when they intersect at A, B, C and D. From graph we get coordinates of A, B, C and D as (-1, -2), (2, -2), (2, 6) and (-1, 6) respectively. Equation of AC can be given by two point formula i.e., Equation of BD can also be given by two point formula i.e., Hence, the equations of the diagonals of the rectangle are 8x - 3y + 2 = 0 and 8x + 3y - 10 = 0.

(i) Write down the coordinates of point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.
(ii) Calculate the distance OP, where O is the origin.
(iii) In what ratio does the y-axis divide the line AB?

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Find the equation of the straight line passing through the origin and through the point of intersection of the lines 5x + 7y = 3 and 2x - 3y = 7.

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M and N are two points on the x-axis and y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2 : 3. Find :
(i) the coordinates of M and N.
(ii) slope of the line MN.

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The line through P(5, 3) intersects y-axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the co-ordinates of Q.

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Mathematics

Find the equations of the diagonals of a rectangle whose sides are x = -1, x = 2, y = -2 and y = 6.

Straight Line Eq

Related Questions

(i) Write down the coordinates of point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.
(ii) Calculate the distance OP, where O is the origin.
(iii) In what ratio does the y-axis divide the line AB?

Find the equation of the straight line passing through the origin and through the point of intersection of the lines 5x + 7y = 3 and 2x - 3y = 7.

M and N are two points on the x-axis and y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2 : 3. Find :
(i) the coordinates of M and N.
(ii) slope of the line MN.

The line through P(5, 3) intersects y-axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the co-ordinates of Q.

Mathematics

Find the equations of the diagonals of a rectangle whose sides are x = -1, x = 2, y = -2 and y = 6.

Straight Line Eq

Related Questions

(i) Write down the coordinates of point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.(ii) Calculate the distance OP, where O is the origin.(iii) In what ratio does the y-axis divide the line AB?

Find the equation of the straight line passing through the origin and through the point of intersection of the lines 5x + 7y = 3 and 2x - 3y = 7.

M and N are two points on the x-axis and y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2 : 3. Find :(i) the coordinates of M and N.(ii) slope of the line MN.

The line through P(5, 3) intersects y-axis at Q.(i) Write the slope of the line.(ii) Write the equation of the line.(iii) Find the co-ordinates of Q.

(i) Write down the coordinates of point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.
(ii) Calculate the distance OP, where O is the origin.
(iii) In what ratio does the y-axis divide the line AB?

M and N are two points on the x-axis and y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2 : 3. Find :
(i) the coordinates of M and N.
(ii) slope of the line MN.

The line through P(5, 3) intersects y-axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the co-ordinates of Q.