INTERCEPT AND NORMAL FORM OF A LINE

THIS PRESENTATION IS A PART OF STRAIGHT LINES-COORDINATE GEOMETRY.. IT HELPS TO UNDERSTAND HOW TO WRITE THE EQUATION OF A LINE GIVEN THE X INTERCEPT AND Y INTERCEPT. IT ALSO EXPLAINS THE NORMAL FORM OF A LINE GIVEN THE ANGLE MADE BY A LINE WITH THE POSITIVE DIRECTION OF THE X AXIS .
THIS IS USEFUL FOR GRADE 11 MATH STUDENTS.

1. GRADE 11 MATH SUMAN MATHEWS INTERCEPT FORM AND NORMAL FORM OF A LINE.

2. a b Intercept form of a line

3. Normal form of a line p is the length of the perpendicular made From the origin to the line Angle made by the perpendicular with The positive direction of the x axis

4. Question 1 Find the equation of the line having intercepts – 3 and 2 on the x and y axes respectively

5. Question 2 Find the equation of the line whose x intercepts and y intercepts are in the ratio 4: 3 and passing through (3, -2) Let the x intercept = 4a Let y intercept = 3a

6. =1     Equation : 3x + 4y =1

7. Question 3 Find the equation of the line passing through (2,2) and sum of its intercepts on the axes is 9

8. Question 4 If p is the length of the perpendicular made from the origin to the line and is the angle made by the perpendicular with the positive direction of the x axes, Write the equation of the line

9. Question 5 Reduce the equation to the normal form. Find the perpendicular distance from the origin and angle between the perpendicular and the positive direction of the x axis

10. Cos 225 = cos(180+45)= - cos 45 Sin 225 = sin(180 +45) = - sin 45  

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