Questions
Find the coordinates of a point on Y-axis which are at a distance of from the point P(3, - 2,5).
detailed solution
Correct option is A
Let any point on the Y-axis is A(0 ,y,0).Given, distance between P and A, PA =52⇒ (3−0)2+(−2−y)2+(5−0)2=52On squaring both sides, we get(3−0)2+(−2−y)2+(5−0)2=50⇒9+4+y2+4y+25=50⇒y2+4y+38−50=0⇒y2+4y−12=0⇒(y+6)(y−2)=0⇒y=−6,2Hence, the points on Y-axis are (0 , - 6,0) or (0,2,0).Talk to our academic expert!
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The equation of motion of a point in space is where ‘t’ is measured in hours and the coordinates of moving point in kilometers. The distance of the point from the starting point O (0,0,0) at the end of 10hours is
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