Acute Angle Between the Lines represented by ax2+2hxy+by2=0
- Acute angle between the lines
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The slopes of the lines given by 12x2 + bxy + y2 = 0 differ by 7. Then the value of b is :
(B) ± 2
(C) ± 1
Find the angle between the lines `barr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk)` and `barr=5 hati-2hatk+mu(3hati+2hatj+6hatk)`
If a line is inclined at 60° and 30° with the X and Y-axes respectively, then the angle which it makes with Z-axis is
Find ‘k' if the sum of slopes of lines represented by equation x2+ kxy - 3y2 = 0 is twice their product.
Show that the equation `x^2-6xy+5y^2+10x-14y+9=0 ` represents a pair of lines. Find the acute angle between them. Also find the point of intersection of the lines.
If θ is the acute angle between the lines represented by equation ax2 + 2hxy + by2 = 0 then prove that `tantheta=|(2sqrt(h^2-ab))/(a+b)|, a+b!=0`