1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.
Acute Angle Between the Lines represented by ax2+2hxy+by2=0
- Acute angle between the lines
undefined video tutorial00:08:58
Find the angle between the lines `barr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk)` and `barr=5 hati-2hatk+mu(3hati+2hatj+6hatk)`
The slopes of the lines given by 12x2 + bxy + y2 = 0 differ by 7. Then the value of b is :
(B) ± 2
(C) ± 1
If θ is the measure of acute angle between the pair of lines given by `ax^2+2hxy+by^2=0,` then prove that `tantheta=|(2sqrt(h^2-ab))/(a+b)|,a+bne0`
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`
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.
Find ‘k' if the sum of slopes of lines represented by equation x2+ kxy - 3y2 = 0 is twice their product.
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