Geometry

Miscellaneous

Easy

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

✅ Correct Option: 1

Equate squared distances: $AB^2 = 9 + (p-2)^2$ and $AC^2 = p^2 + 9$ . So $9 + p^2 - 4p + 4 = p^2 + 9$ , which reduces to $4p = 4$ , giving $p = 1$ .

2023: 21 May Shift 1

The point (-2, 3) lies in which quadrant?

2026: 19 May Shift 2

Find the coordinates of the point which divides the line segment joining the points (4,-1) and (-2,-3) in the ratio 2 : 3 internally.

2025: 15 May Shift 1

If the two vertices of a triangle are (5,4), and (-2,4) and the centroid is (5,6), then the third vertex is:

2025: 20 May Shift 1

If area of a square is 44 cm², find the area of the circle formed by the same perimeter.

2025: 19 May Shift 1

The reflection of the point (6, - 3) on the line y = 2 is:

2026: 25 May Shift 1

Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and (3,5)?

Solution