CBSE Maths 12 Science Three Dimensional Geometry MCQ Answers in English

Similar Questions from CBSE, 12th Science, Maths, Three Dimensional Geometry

Question 1 : Find the equation of the plane that contains the point (1, -1, 2) and is perpendicular to both the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8. Hence find the distance of point P(-2, 5, 5) from the plane obtained above. (View Answer Video)

Question 2 : Find the equation of the plane passing through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0. Also, find the distance of the plane obtained above from the origin. (View Answer Video)

Question 3 : Find the distance between the point (-1, -5, -10) and the point of intersection of line and plane
x - y + z = 5. (View Answer Video)

Question 4 : Find the equation of the plane passing through the line of intersection of the planes   and   which is perpendicular to the plane  . (View Answer Video)

Question 5 : Write the vector equation of a line passing through the point (1, -1, 2) and parallel to the line whose equations are, (View Answer Video)

Questions from Other Chapters of CBSE, 12th Science, Maths

Relations and Functions

Question 1 : Let * be the binary operation on N given by a * b = LCM of a and b. Find 5 * 7. (View Answer Video)

Question 2 : Let  be defined as . Choose the correct answer. (View Answer Video)

Question 3 :  A function  is surjective if and only if , (View Answer Video)

Question 4 : If  and  are onto, then  is: (View Answer Video)

Question 5 : Let A = {1, 2, 3, 4} and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R is, (View Answer Video)

Vector Algebra

Question 1 : Find the unit vector in the direction of the vector  (View Answer Video)

Question 2 : Find a vector in the direction of that has magnitude 7 units.   (View Answer Video)

Question 3 : Find a unit vector in the direction of   (View Answer Video)

Question 4 : Find the angle between two vectors a and b with magnitudes and 2 respectively, having  (View Answer Video)

Question 5 : L and M are two points with position vectors and respectively. Write the position vectors of a point N which divides the line segment LM in the ratio 2:1 externally.   (View Answer Video)

Probability

Question 1 : A and B throw a pair of dice alternately. A wins the game if he gets a total of 9 and B wins if he gets a total of 7. If A starts the game, find the probability of winning the game by B.   (View Answer Video)

Question 2 : Compute P(A/B) if P(B) =0.5 and P(AB)=0.32. (View Answer Video)

Question 3 : In a hockey match, both teams A and B scored same number of goals up to the end of the game, so to decide the winner, the referee asked both the captains to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of the team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.      (View Answer Video)

Question 4 : One card is drawn from a pack of 52 cards. Find the probability of getting a red card:
  (View Answer Video)

Question 5 : From a lot of 30 bulbs which includes 6 defectives, a sample of 4 bulbs is drawn at random one by one with replacement. Find the probability distribution of the number of defective bulbs. Hence find the mean of the distributions.   (View Answer Video)