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GeometryQuestion and Answers: Page 58

Question Number 134142 Answers: 1 Comments: 2

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If the line { ((((x−1)/2)=((y+1)/3)=((z−1)/4))),((((x−3)/1)=((y−k)/2)=(z/1))) :} intersect . the value of k is

$If the line {\begin{cases} \frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{4} \\ \frac{x - 3}{1} = \frac{y - k}{2} = \frac{z}{1} \end{cases}$ $intersect . the value of k is$

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which of the following conditions is true if the folowing circle are verticale x^2 +y^2 +a_1 x+b_1 y+c_1 =0 x^2 +y^2 +a_2 x+b_2 y+c_2 =o 1: a_1 a_2 −b_1 b_2 =2(c_1 +c_2 ) 2: a_1 a_2 −b_1 b_2 =3(c_1 +c_2 ) 3: a_1 a_2 +b_1 b_2 =2(c_1 +c_2 ) 4: a_1 a_2 +b_1 b_2 =3(c_1 +c_2 )

$which of the following conditions is true$ $if the folowing circle are verticale$ $x^{2} + y^{2} + a_{1} x + b_{1} y + c_{1} = 0$ $x^{2} + y^{2} + a_{2} x + b_{2} y + c_{2} = o$ $1 : a_{1} a_{2} - b_{1} b_{2} = 2 (c_{1} + c_{2})$ $2 : a_{1} a_{2} - b_{1} b_{2} = 3 (c_{1} + c_{2})$ $3 : a_{1} a_{2} + b_{1} b_{2} = 2 (c_{1} + c_{2})$ $4 : a_{1} a_{2} + b_{1} b_{2} = 3 (c_{1} + c_{2})$

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∫_( 0) ^( (π/4)) (√(tan x(1 − tan x))) dx

$\int_{0}^{\frac{π}{4}} \sqrt{\tan x (1 - \tan x)} dx$

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