Geometry

Miscellaneous

Medium

The equation of the line which makes equal intercepts on the axis and passes through the point (2,5) shall be:

2X + 2Y = 7

2X + Y = 7

X + 2Y = 7

X + Y = 7

✅ Correct Option: 4

A line with equal intercepts on both axes means the x-intercept and y-intercept are at the same distance from the origin.

When a line makes equal intercepts, it has the form:

$x + y = k$

where $k$ is a constant.

The line passes through the point $(2, 5)$ .

Substituting $x = 2$ and $y = 5$ :

$2 + 5 = k$

$k = 7$

The equation of the line is:

$x + y = 7$

2022: 24 Aug Shift 1

The perimeter of the following figure is :

2022: 17 Aug Shift 1

Area of the figure is.

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.

2026: 18 May Shift 1

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

2026: 30 May Shift 2

If the distance of the point P (x, y) from A (0, a) is a + y, then $x^2$ equals to:

2025: 2 June Shift 2

If the distance between the points (2, -2) and (5, k) is 5 units, then one of the possible values of k shall be which of the following?

Solution