If 2PA = 3PB, find : (i) co-ordinates of points A and B. (ii) equation of line AB.

(i) From figure, A lies on x-axis and B lies on y-axis. Coordinates of A be (a, 0) and B be (0, b). Given, ⇒ 2PA = 3PB ⇒ or P divides line segment AB in the ratio 3 : 2. By section-formula, (x, y) = Substituting values we get : A = (a, 0) = (5, 0) and B = (0, b) = (0, 5). Hence, co-ordinates of A = (5, 0) and B = (0, 5). (ii) By two point form, Equation of line : y - y 1 = (x - x 1 ) Substituting values we get : Hence, equation of AB is x + y - 5 = 0.

View Answer Bookmark Now

A solid is in the form of a right circular cylinder with a hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and the heights of the cylindrical and conical portions are 12 cm and 7 cm respectively. Find the volume of the solid.

View Answer Bookmark Now

A(-2, 4) and B(-4, 2) are reflected in the y-axis. If A' and B' are images of A and B respectively.
(i) Find the co-ordinates of A' and B'.
(ii) Assign a special name to quadrilateral AA'B'B.
(iii) State whether AB' = BA'.

View Answer Bookmark Now

Find the amount of bill for the following inter-state transaction of goods/services :
MRP (in ₹) Discount % GST %
950 32 28
1200 30 12
1500 28 18
1800 40 5

MRP (in ₹)	Discount %	GST %
950	32	28
1200	30	12
1500	28	18
1800	40	5

View Answer Bookmark Now

Mathematics

If 2PA = 3PB, find :
(i) co-ordinates of points A and B.
(ii) equation of line AB.

Section Formula

Related Questions

A solid is in the form of a right circular cylinder with a hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and the heights of the cylindrical and conical portions are 12 cm and 7 cm respectively. Find the volume of the solid.

A(-2, 4) and B(-4, 2) are reflected in the y-axis. If A' and B' are images of A and B respectively.
(i) Find the co-ordinates of A' and B'.
(ii) Assign a special name to quadrilateral AA'B'B.
(iii) State whether AB' = BA'.

Find the amount of bill for the following inter-state transaction of goods/services :
MRP (in ₹) Discount % GST %
950 32 28
1200 30 12
1500 28 18
1800 40 5

Mathematics

If 2PA = 3PB, find :(i) co-ordinates of points A and B.(ii) equation of line AB.

Section Formula

Related Questions

A solid is in the form of a right circular cylinder with a hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and the heights of the cylindrical and conical portions are 12 cm and 7 cm respectively. Find the volume of the solid.

A(-2, 4) and B(-4, 2) are reflected in the y-axis. If A' and B' are images of A and B respectively.(i) Find the co-ordinates of A' and B'.(ii) Assign a special name to quadrilateral AA'B'B.(iii) State whether AB' = BA'.

Find the amount of bill for the following inter-state transaction of goods/services :MRP (in ₹)Discount %GST %950322812003012150028181800405

If 2PA = 3PB, find :
(i) co-ordinates of points A and B.
(ii) equation of line AB.

A(-2, 4) and B(-4, 2) are reflected in the y-axis. If A' and B' are images of A and B respectively.
(i) Find the co-ordinates of A' and B'.
(ii) Assign a special name to quadrilateral AA'B'B.
(iii) State whether AB' = BA'.

Find the amount of bill for the following inter-state transaction of goods/services :
MRP (in ₹) Discount % GST %
950 32 28
1200 30 12
1500 28 18
1800 40 5