A plane \prod is passing through the points A = (0, 0, 2), B = (1, 0, 1) and C = (3, 1, 1). If the plane \prod makes angles \alpha and \beta with the XY- and XZ- coordinate planes respectively, then \sin^2\alpha+\sin^2\beta=

TS EAMCET 9-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 61 of 160

Marks: +1, -0

A plane ∏ is passing through the points A = (0, 0, 2), B = (1, 0, 1) and C = (3, 1, 1). If the plane ∏ makes angles α and β with the XY- and XZ- coordinate planes respectively, then sin2α+sin2β=

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x−0	y−0	z−2
1−0	0−0	1−2
3−0	1−0	1−2

x	y	z−2
1	0	−1
3	1	−1