Equation of a line in Normal form

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Let AB be any straight line.

OP = p is a perpendicular drawn to AB from the origin.

Let the co-ordinates of P be (x,y).

From right-angled triangle OAP,

Again from right-angled triangle OAP,

AB makes intercepts psec a on the x-axis and pcosec a on the y-axis.

The equation of the line in the intercept form is given by



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