Math, asked by Qassim1793, 9 months ago

Reduce the equation x - y + 3 = 0 to normal form. Find the length of the perpendicular 'p' from the origin to the line

Answers

Answered by rakhirani3c
0

Answer:

in this question we have to reduce the equation to the normal form and we have to find the length of perpendicular from the origin to the line line equation is X + Y minus 2 equal to zero from where we can it right the we can write the normal form of equation so this is we have x cos alpha + we have this is why sign of Alpha this is equal to P here so as we know that this is the length of perpendicular from the origin to the line so now we can write the line equation we have the X + Y and we can write the sequel to to hear so now we can compare with the standard equation thus we have a x + B Y + 3 equal to zero now we can find the value of this and root of a square + we have this be scared therefore this value will be equal to we have this is one square + 1 se 10 value will be and root of 2 year now we can divide this equation with the under root of to solve this equation will be X / and root of 2

in this question we have to reduce the equation to the normal form and we have to find the length of perpendicular from the origin to the line line equation is X + Y minus 2 equal to zero from where we can it right the we can write the normal form of equation so this is we have x cos alpha + we have this is why sign of Alpha this is equal to P here so as we know that this is the length of perpendicular from the origin to the line so now we can write the line equation we have the X + Y and we can write the sequel to to hear so now we can compare with the standard equation thus we have a x + B Y + 3 equal to zero now we can find the value of this and root of a square + we have this be scared therefore this value will be equal to we have this is one square + 1 se 10 value will be and root of 2 year now we can divide this equation with the under root of to solve this equation will be X / and root of 2Surya the soldier by divide by under root of 2 this is equal to 2 by under root of 2 hair sunao from where we can simplify the student will be equal to as we know that this one by root of 2 and the sales of underwear and root of 2 so we had to find the best value in the course of angle terms of this is we have cost of 45 degree and this is sign of 45 degree so we can write the equation the equation will become X and the cause of 45 degree + we have the source why and this will be equal to Sin of 45 degree and this value will be equal to under root of 2 year so this is this is equal to under root of 2 hair so this is the length and this is the required equation so this is answer thank you

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