Find the equation of the line for which `(i)p=3 and alpha=45^(@)` (ii)`p=5 and alpha=135^(@)` (iii)`p=8 alpha=150^(@)` (iv) `p=3 and alpha=225^(@)` (v)`p=2 and alpha=300^(@)` (vi)`p=4 and alpha=180^(@)`
Answered Feb 05, 2023
Correct Answer - `(i)x+y-3sqrt2=0 (ii)x-y+5sqrt2=0 (iii)sqrt3x-y+16=0` `(iv)x+y+3sqrt2=0 (v)x-sqrt3y-4=0 (vi)x+4=0`
Correct Answer - A::D `2sec^2alpha-sec^4alpha-2cosec^2alpha+cosec^4alpha=15/4` `or 2(sec^2alpha-cosec^2alpha)+(cosec^2alpha+sec^2alpha)xx(cosec^2alpha-sec^2alpha-sec^2alpha)=15/4` `or (cosec^2alpha-sec^2alpha)[cosec^2alpha+sec^2alpha-2]=15/4` `or 4(cot^2alpha-tan^2alpha)[cosec^2alpha+sec^2alpha)=15` `or4(cot^4alpha-tan^4alpha)=15` `or 4(1-tan^8alpha)=15tan^4alpha` `or 4tan^8alpha+15tan^4alpha` `or 4tan^8alpha+154tan^4alpha-4=0` `or (4tan^4alpha-1)(tan^4alpha+4)=0` `or tan^4alpha=1/4ot tan^4alpha=-4` `or tan^2alpha=pm1/2` `or tan^2alpha=+1/2` `or tanalpha=pm1/sqrt2`
Correct Answer - C `(c )` `"^(n)C_(2)*^(n)C_(2)=225impliesn=6`
Correct Answer - `[(a) ((q_(alpha)E_(0))/m_(alpha)t)i+v_(0) cos theta hat(j)-v_(0) sin theta hat(k)` where `theta=omegat` and `omega=(q_(alpha)B)/m_(alpha)`, (b) `10^(7) m//s` (c) `8.00 MeV]`
I'm asking for step-by-step method!
Correct Answer - (a) `(1)/(2)` (b) `(1)/(sqrt(2))` (c )`-(1)/(2)` (d) 1 (e ) `-(1)/(2)` (f) `-(2)/(sqrt(3))` `(g) -(1)/(sqrt(2))` (h) `-(sqrt(3))/(2)`
Correct Answer - `12x+5y-39=0`
Correct Answer - (i) 151 cm (ii) 128 cm (iii) 23 cm (iv) 141.4 cm (v) 5
Correct Answer - `(5x-3y)(5x-3y)(5x-3y)`
Correct Answer - 151 cm
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