Pair of Straight lines:
Q1 Find the separate equations of lines represented by. (8)
Q2 Find the joint equation of pair of lines passing through origin and perpendicular to the lines represented by ax2+2hxy+by2=0 (3)
Q3 Find the value of k ,if the slope of one of lines is given by 4x2+kxy+y2=0 is four times the other (3)
Q4 Find p and q if the equation px2- 8xy +3y2+14x+2y+q=0 represents pair of perpendicular lines. (4)
Q5 Find the acute angle between the lines x2-4xy+y2=0 (2)
Q1 Find the separate equations of lines represented by. (8)
I.
x2-4y2
= 0
II.
3x2-7xy+4y2
= 0
III.
x2+2xy-y2
= 0
IV.
5x2-3y2=0
Q2 Find the joint equation of pair of lines passing through origin and perpendicular to the lines represented by ax2+2hxy+by2=0 (3)
Q3 Find the value of k ,if the slope of one of lines is given by 4x2+kxy+y2=0 is four times the other (3)
Q4 Find p and q if the equation px2- 8xy +3y2+14x+2y+q=0 represents pair of perpendicular lines. (4)
Q5 Find the acute angle between the lines x2-4xy+y2=0 (2)
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