Q8 of 169 Page 694

Reduce the equation to the normal form x cos ∝ + y sin ∝ = p, and hence find the values of ∝ and p.

Given equation is


If the equation is in the form of ax + by = c, to get into the normal form, we should divide it by, so now


Divide by


Now we get


This is in the form of


Where


And p = 1


Conclusion: and p =1


More from this chapter

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6

Find the inclination of the line:

(i) x + y + 6 =0


(ii) 3x + 3y + 8 = 0


(iii)


7

Reduce the equation x + y - = 0 to the normal form x cos ∝ + y sin ∝ = p, and hence find the values of ∝ and p.

 9

Reduce each of the following equations to normal form :

(i) x + y - 2 = 0


(ii)


(iii) x + 5 = 0


(iv) 2y – 3 =0


(v) 4x + 3y - 9 = 0


 1

Find the distance of the point (3, -5) from the line 3x – 4y = 27