The distance between the two lines represented by the sides of
an equilateral triangle
a right-angled triangle
an isosceles triangle
none of these
A. `8//5`
B. `6//5`
C. `11//5`
D. None of these
Correct Answer - C
We know about the thin prism, `delta_(m)=(mu-1)A`
In given condition, `A_(1)(mu_(1)-1)A_(2)(mu_(2)-1)`
Given, `mu_(1)=1.4, mu_(2)=1.6 and A_(1)=6^(@)`
`"Now", 6(1.4-1)=A_(2)(1.6-1)`
`A_(2)=(6xx0.4)/(0.6) Rightarrow A_(2)=(2.4)/(0.6)`
`A_(2)=4^(@)`
Hence, the angle of the...
Correct Answer - c
Given one vertex A(7,2,4) and line
`(x+6)/(5)=(y+10)/(3)=(z+14)/(8)`
General point on above line `B-=(5lamda-6,3lamda-10,8lamda-14)`
Direction ratios of line AB are `lt5lamda-13,3lamda-12,8lamda-18gt`
Direction ratios of line BC are `lt5,3,8gt`...
`(a^(2) - b^(2))/(a^(2) + b^(2)) = (sin (A - B))/(sin (A + B))`
or `(4R^(2) sin^(2) A - 4R^(2) sin^(2) B)/(4R^(2) sin^(2) A + 4R^(2) sin^(2) B) = (sin (A...