The points A (3, 2, 1), B (5, 3, -2) and C (-1, 0, 7) are collinear.(a) True(b) FalseI had been asked this question in examination.The query is from Three Dimensional Geometry in division Three Dimensional Geometry of Mathematics – Class 11

The points A (3, 2, 1), B (5, 3, -2) and C (-1, 0, 7) are collinear.(a

1.	The points A (3, 2, 1), B (5, 3, -2) and C (-1, 0, 7) are collinear.(a) True(b) FalseI had been asked this question in examination.The query is from Three Dimensional Geometry in division Three Dimensional Geometry of Mathematics – Class 11
Answer» The correct option is (a) True For EXPLANATION I would say: We know, distance between two points (x1, y1, z1) and (x2, y2, z2) is \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}\). Distance AB = \(\sqrt{(3-5)^2+(2-3)^2+(1+2)^2} = \sqrt{14}\) Distance BC = \(\sqrt{(5+1)^2+(3-0)^2+(-2-7)^2} = 3\sqrt{14}\) Distance AC = \(\sqrt{(3+1)^2+(2-0)^2+(1-7)^2} = 2\sqrt{14}\) SINCE AB+AC = BC so, the three points are COLLINEAR.

Discussion

No Comment Found

Related InterviewSolutions

In which ratio (3, 4, 5) divides the line segment joining (1, 2, 3) and (4, 5, 6) internally?(a) 1:2(b) 2:1(c) 3:4(d) 4:3I got this question in a job interview.My question is based upon Three Dimensional Geometry topic in section Three Dimensional Geometry of Mathematics – Class 11
The points A (1, 2, -1), B (5, -2, 1), C (8, -7, 4), D (4, -3, 2) form_____________(a) trapezium(b) rhombus(c) square(d) parallelogramI have been asked this question in an international level competition.This question is from Three Dimensional Geometry topic in chapter Three Dimensional Geometry of Mathematics – Class 11
Do we have distance formula in 3-D geometry also?(a) True(b) FalseI had been asked this question by my college director while I was bunking the class.My question is taken from Three Dimensional Geometry topic in division Three Dimensional Geometry of Mathematics – Class 11
In which octant does the point (-1, – 5, -7) lies?(a) 1^st(b) 2^nd(c) 6^th(d) 7^thI have been asked this question in an internship interview.This interesting question is from Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 11
If P (2, 3, 9), Q (2, 5, 5) and R (8, 5, 3) are vertices of a triangle then find the length of median through P.(a) \(\sqrt{24}\)(b) \(\sqrt{38}\)(c) \(\sqrt{11}\)(d) \(\sqrt{53}\)This question was addressed to me during an interview.Origin of the question is Three Dimensional Geometry in section Three Dimensional Geometry of Mathematics – Class 11
The three points A (1, 2, 3), B (3, 1, 2), C (2, 3, 1) form ________________(a) equilateral triangle(b) right angled triangle(c) isosceles triangle(d) right angled isosceles triangleThis question was posed to me in quiz.Origin of the question is Three Dimensional Geometry topic in division Three Dimensional Geometry of Mathematics – Class 11
3-D geometry has ______________ octants.(a) 1(b) 2(c) 4(d) 8The question was posed to me by my school teacher while I was bunking the class.Question is taken from Three Dimensional Geometry in portion Three Dimensional Geometry of Mathematics – Class 11
The point (0, 2, 4) lie on _________(a) X-Y plane(b) Y-Z plane(c) X-Z plane(d) X-axisI have been asked this question in class test.This intriguing question originated from Three Dimensional Geometry topic in division Three Dimensional Geometry of Mathematics – Class 11
Find the points which trisects the line joining (4, 9, 8) and (13, 27, -4).(a) (7, 4, 15)(b) (7, 15, 4)(c) (4, 15, 7)(d) (4, 7, 15)I had been asked this question during a job interview.My doubt is from Three Dimensional Geometry in division Three Dimensional Geometry of Mathematics – Class 11
The ratio in which line joining (1, 2, 3) and (4, 5, 6) divide X-Y plane is ________(a) 2(b) -2(c) 1/2(d) -1/2The question was asked in final exam.Enquiry is from Three Dimensional Geometry in portion Three Dimensional Geometry of Mathematics – Class 11

The points A (3, 2, 1), B (5, 3, -2) and C (-1, 0, 7) are collinear.(a) True(b) FalseI had been asked this question in examination.The query is from Three Dimensional Geometry in division Three Dimensional Geometry of Mathematics – Class 11

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment