The midpoint of line segment joining A(2,3) and B(4,5) lies on the curve.

x + y = 5

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x^{2} + y^{2} = 25

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x + 2 y = 8

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Solution

The correct option is B $x^{2} + y^{2} = 25$
Midpoint of line segment = $(\frac{2 + 4}{2}, \frac{3 + 5}{2}) = (3, 4)$ and (3,4) follows the equation of the curve $x^{2} + y^{2} = 25$ .

So the midpoint of the line segment joining A(2,3) and B(4,5) lies on the curve $x^{2} + y^{2} = 25$ .

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Similar questions

Q. The midpoint of line segment joining A(2,3) and B(4,5) lies on the curve.

Q. Find the midpoint of the line segment joining

(1, 2)

and

(3, 4)

Question 5
Plot the points A (1, -1) and B(4, 5).
(i) Draw the line segment joining these points. Write the coordinate of a point on this line segment between the point A and B.
(ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.

Plot the points

A (1, 1)

and

B (4, 5)

. Draw a line segment joining these points. Then the coordinates of a point on this line segment between the points

A

and

B

(m, 3.6)

. The value of

m

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The midpoint of line segment joining A(2,3) and B(4,5) lies on the curve.

The correct option is B x2+y2=25Midpoint of line segment = (2+42,3+52)=(3,4) and (3,4) follows the equation of the curve x2+y2=25. So the midpoint of the line segment joining A(2,3) and B(4,5) lies on the curve x2+y2=25.

The correct option is B $x^{2} + y^{2} = 25$
Midpoint of line segment = $(\frac{2 + 4}{2}, \frac{3 + 5}{2}) = (3, 4)$ and (3,4) follows the equation of the curve $x^{2} + y^{2} = 25$ .

So the midpoint of the line segment joining A(2,3) and B(4,5) lies on the curve $x^{2} + y^{2} = 25$ .