Geometry

Miscellaneous

Easy

The values of y for which the distance between the points P(10, y) and Q(2, 2) is 10 unit.

-4 and 8

4 and -8

-6 and 8

6 and -8

✅ Correct Option: 1

By the distance formula, $(10-2)^2 + (y-2)^2 = 10^2$ .

So $64 + (y-2)^2 = 100$ , giving $(y-2)^2 = 36$ and $y - 2 = \pm 6$ .

Hence $y = 8$ or $y = -4$ .

2026: 21 May Shift 1

Find a relation between x and y such that the points (x, y) is equidistant from points (7, 3) and (5, 2).

2023: 7 June Shift 1

If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x.

2026: 22 May Shift 2

Find the coordinates of the midpoints of the line segment joining A (3, 0) and B (-5, 4).

2026: 12 May Shift 2

The relation between A and B such that the point (A, B) is equidistant from the points (1, 3) and (2, 5) is:

2026: 26 May Shift 1

If the point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), the value of p is :

2026: 18 May Shift 2

Find the slope of the line perpendicular to the line passing through the points (3, 5) and (-4, 2).

Solution