Introduction to Three Dimensional Geometry — MATHS STD 11 Science — Question
Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSIntroduction to Three Dimensional Geometry1 Mark
Question
If the distance between the points (a, 2, 1) and (1, -1, 1) is 5, then a _______.
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Answer
If the distance between the points (a, 2, 1) and (1, -1, 1) is 5, then a = 5 or -3. Solution: Given points are (a, 2, 1) and (1, -1, 1). $\therefore\sqrt{(\text{a}-1)^2+(2+1)^2+(1-1)^2}=5$ (Given) $\Rightarrow(\text{a}-1)^2+9+0=25$ $\Rightarrow\text{a}^2-2\text{a}-15=0$ $\Rightarrow(\text{a}-5)(\text{a}+3)=0$ $\therefore\text{a}=5\ \text{or}\ -3$
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