Q15 of 20 Page 52

The triangle formed by the points (3, 0), (–3, 0) and (0, 3) is

Here we need to calculate each side of the triangle.


Considering, A=(3,0), B=(0,3) and C=( - 3,0)


We have,





Since the two sides AB and BC are equal, so the triangle is isosceles.


Refer figure.


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If the distance between the two points (x, –7) and (3, –3) is 5 units, then the values of x are

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If the distance of the point (x, 4) from the origin is 5 units, then the values of x are

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The co - ordinates of the center of the circle are (0, 0) and the co - ordinates of a point on the circumference are (3, 4), the length of the circle is

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Short answer type questions:

(i) Let us write the value of y if the distance of the point (–4, y) from the origin is 5 units.


(ii) Let us write the co - ordinates of a point on y - axis which is equidistant from two points (2, 3) and (–1, 2).


(iii) Let us write the coordinates of two points on the x-axis and y-axis for which an isosceles right-angled triangle is formed with the x-axis, y-axis and the straight line joining the two points.


(iv) Let us write the co - ordinates of two points on opposite sides of x - axis which are equidistant from x - axis.


(v) Let us write the co - ordinates of two points on opposite sides of y - axis which are equidistant from y - axis.