Math, asked by sangamstha3291, 2 months ago

The equation of the line through (1 , 2), which makes equal intercepts on the axes, is

Answers

Answered by amansharma264
6

EXPLANATION.

Equation of line through (1,2) makes an equal intercept.

As we know that,

Formula of the intercept form.

⇒ x/a + y/b = 1.

both makes equal intercept.

⇒ a = b.

⇒ x/a + y/a = 1.

⇒ x + y = a.

Put the value of Co-ordinates in axis, we get.

⇒ 1 + 2 = a.

⇒ a = 3.

Put the value in the equation, we get.

⇒ x + y = 3.

                                                                                                                       

MORE INFORMATION.

Different forms of the equation of straight line.

(1) = Slope : Intercept form : y = mx + c.

(2) = Slope point form : The equation of a line with slope m and passing through a point (x₁, y₁) is : (y - y₁) = m(x - x₁).

(3) = Two point form : (y - y₁) = (y₂ - y₁)/(x₂ - x₁) (x - x₁).

(4) = Intercept form : x/a + y/b = 1.

(5) = Normal (perpendicular) form of a line : x cosα + y sinα = p.

(6) = Parametric form (distance form) : (x - x₁)/cosθ = (y - y₁)/sinθ = r.

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