InterviewSolution
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InterviewSolution
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Equation of the panepassing through the points `(2,2,1)a n d(9,3,6),a n d_|_`to the plane `2x+6y+6z-1=0`isa. `3x+4y+5z=9`b. `3x+4y-5z=9`c. `3x+4y-5z=9`d. noneof theseA. `3x+4y+5z=9`B. `3x+4y-5z=9`C. `3x+4y-5z=9`D. none of these |
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Answer» Correct Answer - b Any plane through `(2, 2, 1)` is `" "a(x-2)+b(y-2)+c(z-1)=0` It passes through `(9, 3, 6)` if `7a+b+5c=0" "` (ii) Also (i) is perpendicular to `2x+6y+6z-1=0`, we have `" "2a+6b+6c=0` `therefore" "a+3b+ 3c=0" "`(iii) `therefore " "(a)/(-12)= (b)/(-16)= (c)/(20) or (a)/(3)= (b)/(4)= (c)/(-5)" "` [from (ii) and (iii)] Therefore, the required plane is `3(x-2)+ 4(y-2)-5(z-1)=0 or 3x+4y-5z-9=0` |
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