Geometry

Miscellaneous

Easy

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

2A+4B=19

5A+7B=29

7A+12B=14

3A+7B=11

✅ Correct Option: 1

Equidistant means equal squared distances:

$(A-1)^2+(B-3)^2=(A-2)^2+(B-5)^2$

Expanding: $-2A+1-6B+9=-4A+4-10B+25$

$-2A-6B+10=-4A-10B+29$

$2A+4B=19$

2023: 5 June Shift 2

In the figure, ABCDE and AEPQ are a regular pentagon and a square respectively. What is the measure of angle AQB ?

2025: 3 June Shift 2

If the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square then what is the length of the diagonal of square?

2025: 20 May Shift 1

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

2026: 18 May Shift 1

The distance between points P(1, 2) and Q(-3, 6) is

2022: 24 Aug Shift 1

The perimeter of the following figure is :

2022: 8 Aug Shift 1

The total area of figure is

Solution