Refer to Class 11 Mathematics Introduction To Three-Dimensional Geometry MCQs provided below. CBSE Class 11 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 11 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 12 Introduction to Three Dimensional Geometry are an important part of exams for Class 11 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects
MCQ for Class 11 Mathematics Chapter 12 Introduction to Three Dimensional Geometry
Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 12 Introduction to Three Dimensional Geometry in Class 11. These MCQ questions with answers for Class 11 Mathematics will come in exams and help you to score good marks
Chapter 12 Introduction to Three Dimensional Geometry MCQ Questions Class 11 Mathematics with Answers
Question. If orthocentre and circumcentre of a triangle are respectively (1, 1, 1) and (3, 2, 2), then the coordinates of its centroid is
(a) (-7/3 , 5/3 , 5/3,)
(b) (7/3 , 5/3 , 5/3,)
(c) (5/3 , 7/3 , 5/3)
(d) None of these
Answer : B
Question. A plane is parallel xy-plane, so it is perpendicular to
(a) z-axis
(b) y-axis
(c) x-axis
(d) None of these
Answer : A
Question. The locus of a point for which y = 0, z = 0 is
(a) equation of x-axis
(b) equation of y-axis
(c) equation of z-axis
(d) None of these
Answer : A
Question. If the vertices of a triangle are A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0), then orthocentre of a ΔABC is
(a) (4, 5, 0)
(b) (2, 3, – 1)
(c) (– 2, 3, – 1)
(d) None of the above
Answer : B
Question. The points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear, if k is equal to
(a) -2
(b) 2
(c) 3
(d) -1
Answer : A
Question. The point A(1, -1, 3), B(2, -4, 5) and C(5, -13, 11) are
(a) collinear
(b) non-collinear
(c) Do not say anything
(d) None of these
Answer : A
Question. The distance of point P(3, 4, 5) from the yz-plane is
(a) 3 units
(b) 4 units
(c) 5 units
(d) 550 units
Answer : A
Question. What is the length of foot of perpendicular drawn from the point P(3, 4, 5) on y-axis?
(a) √41
(b) √34
(c) 5
(d) None of these
Answer : B
Question. If the distance between the points (a, 0, 1) and (0, 1, 2) is √27, then the value of a is
(a) 5
(b) ±5
(c) – 5
(d) None of these
Answer : B
Question. If x-coordinate of a point P of line joining the points Q(2, 2, 1) and R(5, 2, -2) is 4, then the z-coordinate of P is
(a) –2
(b) –1
(c) 1
(d) 2
Answer : B
Question. If A and B be the points (3, 4, 5) and (– 1, 3, – 7) respectively, find the equation of the set of points P such that (PA)2+(PB)2 =0 , where K is a constant.
(a) 2(X2+Y2+Z2)+4X+14Y+4Z+109-K2=0
(b) 2(X2+Y2+Z2)-4X-14Y+4Z+109-K2=0
(c) X2+Y2+Z2+4X+14Y+4Z109-K2=0
(d) None of the above
Answer : B
Question. Distance of the point (1, 2, 3) from the coordinate axes are
(a) 13, 10, 5
(b) √13, √10, √5
(c) √5, √13, √10
(d) 1/√13, 1/√10, 1/√5
Answer : B
Question. If the sum of the squares of the distance of a point from the three coordinate axes be 36, then its distance from the origin is
(a) 6
(b)3√2
(c)2√3
(d) None of these
Answer : B
Question. The coordinates of a point which is equidistant from the points (0, 0, 0), (a, 0, 0), (0, b, 0), (0, 0, c) are given by
(a) (a/2 , b/2 , c/2,)
(b) ( -a/2 , -b/2 , c/2,)
(c) (a/2 , -b/2 , c/2,)
(d) (-a/2 , b/2 , c/2,)
Answer : A
Question. If x2+y2 = 1, then the distance from the point (x, y, 1-x2-y2 ) to the origin is
(a) 1
(b) – 1
(c) 0
(d) 2
Answer : A
Question. Three vertices of a parallelogram ABCD are A(1, 2, 3), B(-1, -2, -1) and C(2, 3, 2). Find the fourth vertex D.
(a) (– 4, – 7, – 6)
(b) (4, 7, 6)
(c) (4, 7, – 6)
(d) None of these
Answer : B
Question. If a parallelopiped is formed by planes drawn through the points (5, 8, 10) and (3, 6, 8) parallel to the coordinate planes, then the length of diagonal of the parallelopiped is
(a)2 √3
(b)3√2
(c) √2
(d) √3
Answer : A
Question. The points (5, – 4, 2),(4,– 3, 1), (7, -6, 4) and (8, – 7, 5) are the vertices of
(a) a rectangle
(b) a square
(c) a parallelogram
(d) None of these
Answer : C
Question. If the coordinates of the vertices of a ΔABC are A(-1, 3, 2), B(2, 3, 5) and C(3, 5, - 2), then ? ∠A is equal to
(a) 45°
(b) 60°
(c) 90°
(d) 30°
Answer : A
Question. Find the ratio in which the YZ-plane divides the line segment formed by joining the points (– 2, 4, 7) and (3, – 5, 8).
(a) externally 2 : 3
(b) internally 2 : 3
(c) internally 3 : 2
(d) externally 3 : 2
Answer : B
Question. Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, -4, 6) in the ratio 2 : 3 externally.
(a) (– 8, – 17, 3)
(b) (– 8, 17, 3)
(c) (8, – 17, 3)
(d) None of these
Answer : B
Question. Find the length of the medians of the triangle with vertices A(0, 0, 6), B(0, 4, 0) and C(6, 0, 0).
(a) 7, 7, √34
(b) 7, 8, √34
(c) 7, 9, √34
(d) None of these
Answer : A
Question. Find the coordinates of the points which trisect the line segment joining the points P(4 , 2, -6) and Q(10, -16, 6).
(a) (6, – 4, – 2), (8, – 10, 2)
(b) (6, 4, – 2), (8, – 10, 2)
(c) (6, – 4, – 2), (8, 10, 2)
(d) None of these
Answer : B
Question. Find the centroid of a triangle, the mid-point of whose sides are D(1, 2, -3), E(3, 0, 1) and F (-1, 1, -4).
(a) (1, 1, 2)
(b) (1, 1, – 2)
(c) (– 1, –1, –2)
(d) (1, –1, –2)
Answer : B
Question. The points A(5, -1, 1), B(7, -4, 7), C(1, -6, 10) and D(-1, -3, 4) are vertices of a
(a) square
(b) rhombus
(c) rectangle
(d) None of these
Answer : B
Question. If vertices of a triangle are A(1, -1, 2), B(2, 0, -1) and C(0, 2, 1), then the area of a triangle is (a) √6
(b) 2√6
(c) 3√6
(d) 4√6
Answer : B
Question. The point ( -2, -3, -4) lies in the
(a) first octant
(b) seventh octant
(c) second octant
(d) eight octant
Answer : B
Question. The mid-points of the sides of a triangle are (5, 7, 11), (0, 8, 5) and (2, 3, – 1). Then, the vertices are
(a) (7, 2, 5), (3, 12, 17), (– 3, 4, – 7)
(b) (7, 2, 5), (3, 12, 17), ( 3, 4, 7)
(c) (7, 2, 5), (– 3, 12, 17), (– 3, – 4, – 7)
(d) None of the above
Answer : A
Question. The area of the triangle, whose vertices are at the points (2, 1, 1), (3, 1, 2) and (– 4, 0, 1) is
(a) √19
(b) 1/2√19
(c)1/2√38
(d)1/2√57
Answer : C
Question. The triangle formed by the points (0, 7, 10), (-1, 6, 6), (-4, 9, 6) is
(a) equilateral
(b) isosceles
(c) right angled
(d) right angled isosceles
Answer : D
Question. L is the foot of the perpendicular drawn from a point P(3, 4, 5) on the xy-plane. The coordinates of point L are
(a) (3, 0, 0)
(b) (0, 4, 5)
(c) (3, 0, 5)
(d) None of these
Answer : D
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CBSE Class 11 Mathematics Chapter 12 Introduction to Three Dimensional Geometry MCQs
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MCQs for Mathematics CBSE Class 11 Chapter 12 Introduction to Three Dimensional Geometry
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Chapter 12 Introduction to Three Dimensional Geometry MCQs Mathematics CBSE Class 11
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Chapter 12 Introduction to Three Dimensional Geometry CBSE Class 11 MCQs Mathematics
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CBSE MCQs Mathematics Class 11 Chapter 12 Introduction to Three Dimensional Geometry
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