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GRADE 11 MATH
PREVIEW:
HOW TO CALCULATE ANGLE BETWEEN TWO LINES
TO FIND EQUATION OF A FAMILY OF LINES
Acute angle between 2 lines
Question 1
Find the angle between the lines
Acute angle
Obtuse angle =
Question 2
Find the angle between the lines x + 2y =5 ,3 x + y = 11
2 y = - x +5 y = - 3x+ 11
Question 3
Find the equation of the family of lines with y intercept-3
y = mx – 3 where m is the parameter
Question 4
Find the equation of the family of lines perpendicular to 3x + 7y = 8
7y = - 3x + 8
By a family of lines, we mean a set of lines satisfying a
given condition.
Family of lines
Question 5
A line is drawn perpendicular to 5x = y+ 7. Find the equation of the line if area of the
Triangle formed by this line with the coordinate axis is 5 square units
The line is perpendicular to 5x = y +7
Equation of the required line is
Equation of the line is
Equation of the line
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ANGLE BETWEEN 2 LINES AND FAMILY OF LINES