Home
Class 12
MATHS
The orthocentre of the triangle with ver...

The orthocentre of the triangle with vertices `(0,0),(3,4),` and `(4,0)` is `(3,5/4)` (b) `(3,12)` `(3,3/4)` (d) `(3,9)`

A

`(3,(5)/(4))`

B

`(3,12)`

C

`(3,(3)/(4))`

D

`(3,9)`

Text Solution

Verified by Experts

To find orthocentre of the triangle formed by `(0,0)`, `(3,4)` and `(4,0)`

Let `H` be the orthocentre of `DeltaOAB`
`:.("slope of " OP "i.e."OH)*("slope of"BA)=-1`
`implies((y-0)/(3-0))*((4-0)/(3-4))=-1`
`implies-(40/(3)y=-1`
`impliesy=(3)/(4)`
`:.` Required orthocentre `=(3,y)=(3,(3)/(4))`
Promotional Banner

Similar Questions

Explore conceptually related problems

The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) is (a) (3,5/4) (b) (3,12) (c) (3,3/4) (d) (3,9)

Find the orthocentre of the triangle whose vertices are (0,0),(3,0), and (0,4)dot

A triangle with vertices (4, 0), (-1, -1), (3, 5) is

Find the area of the triangle whose vertices are (0,0), (1,2) and (4,3).

The area of traingle whose vertices are (0,0),(3,4),and(2,5) is :

Find the area of the triangle with vertices are(3,5)(2,4)(5,1).

The incentre of a triangle with vertices (7, 1),(-1, 5) and (3+2sqrt(3),3+4sqrt(3)) is

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

The area of the triangle formed by the points (0,0),(3,0) and (0,4) is :