Let satisfy and be units from the point

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Let A(x,y,2)A(x,y,2) satisfy y=x+1y=x+1 and be 1313 units from the point B(1,5,−2)B(1,5,-2). If x>0x>0, find the ordered pair (x,y)(x,y). (a) (5−3332, 7−3332)\left(\dfrac{5-3\sqrt{33}}{2},\,\dfrac{7-3\sqrt{33}}{2}\right) (b) (5+3332, 7+3332)\left(\dfrac{5+3\sqrt{33}}{2},\,\dfrac{7+3\sqrt{33}}{2}\right) (c) (5+3292, 7+3292)\left(\dfrac{5+\sqrt{329}}{2},\,\dfrac{7+\sqrt{329}}{2}\right) (d) (1+3372, 3+3372)\left(\dfrac{1+\sqrt{337}}{2},\,\dfrac{3+\sqrt{337}}{2}\right)

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