The orthocentre of the triangle formed by (0,0), (8, 0) and (4, 6) is

Question

The orthocentre of the triangle formed by (0,0), (8, 0) and (4, 6) is (A)  f  (B)  1.27f  (C)  text1.0 text1× text10 text5 text N/ textm text2  (D)  text9. text13× text10 text4 text N/ textm text2

Tardigrade Admin · Accepted Answer

Line perpendicular to OA passing through B is

x = 4

.
Slope of

A B = - \frac{3}{2}

Line perpendicular to AB and passes through origin is

y = \frac{2}{3} x

∴

The point of intersection of a line x = 4 and

y = \frac{2}{3} x

is

(4, \frac{8}{3})

, which is the required orthocentre.

Q. The orthocentre of the triangle formed by (0,0), (8, 0) and (4, 6) is

$f$

$1.27 f$

$1 .0 1 \times 1 0^{5} N / m^{2}$

$9.13 \times 1 0^{4} N / m^{2}$

Line perpendicular to OA passing through B is $x = 4$ .
Slope of $A B = - \frac{3}{2}$ Line perpendicular to AB and passes through origin is $y = \frac{2}{3} x$ $∴$ The point of intersection of a line x = 4 and $y = \frac{2}{3} x$ is $(4, \frac{8}{3})$ , which is the required orthocentre.

Q. The orthocentre of the triangle formed by (0,0), (8, 0) and (4, 6) is

f

1.27f

1.01×105 N/m2

9.13×104 N/m2

Line perpendicular to OA passing through B is x=4 .Slope of AB=−23​ Line perpendicular to AB and passes through origin is y=32​x ∴ The point of intersection of a line x = 4 and y=32​x is (4,38​) , which is the required orthocentre.

$f$

$1.27 f$

$1 .0 1 \times 1 0^{5} N / m^{2}$

$9.13 \times 1 0^{4} N / m^{2}$

Line perpendicular to OA passing through B is $x = 4$ .
Slope of $A B = - \frac{3}{2}$ Line perpendicular to AB and passes through origin is $y = \frac{2}{3} x$ $∴$ The point of intersection of a line x = 4 and $y = \frac{2}{3} x$ is $(4, \frac{8}{3})$ , which is the required orthocentre.