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4 votes
The area of the triangle formed by joining the origin to the point of intersection of the line x√5+2y=3√5 and circle x²+y²=10 is.

A. 3.
B. 4.
C. 5.
D. 6

1 Answer

3 votes

Answer:

The correct option is C 5

Explanation:

Length of perpendicular from origin to the line

x

5

+

2

y

=

3

5

is

O

L

=

3

5

(

5

)

2

+

2

2

=

3

5

9

=

5

Radius of the given circle

=

10

=

O

Q

=

O

P

P

Q

=

2

Q

L

=

2

Q

L

2

O

L

2

=

2

10

5

=

2

5

Thus, area of

O

P

Q

=

1

2

×

P

Q

×

O

L

area of

O

P

Q

=

1

2

×

2

5

×

5

=

5

s

q

.

u

n

i

t

s

User Muzafar Ali
by
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