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 vector and cartesian forms of the equation of the plane passing through the point (1, 2, -4) and parallel to the lines  and   Also, find the distance of the point (9, -8, -10) from the plane thus obtained. (View Answer Video)

Question 2 : Find the equation of the plane passing through the line of intersection of the plane  and   which is at a unit distance from the origin. (View Answer Video)

Question 3 : Find the distance of the point (-1, -5, -10) from the point of intersection of the line joining the points A(2, -1, 2) and B(5, 3, 4) with the plane x - y + z = 5. (View Answer Video)

Question 4 : Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is (View Answer Video)

Question 5 : Find the cartesian equation of the line which passes through the point (-2, 4, -5) and is parallel to the line  (View Answer Video)

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

Probability

Question 1 : A bag I contains 5 red and 4 white balls and a bag II contains 3 red and 3 white balls. Two balls are transferred from the bag I to the bag II and then one ball is drawn from bag II. If the ball drawn from the bag II is red, then find the probability that one red ball and one white ball are transferred from the bag I to the bag II.   (View Answer Video)

Question 2 : One card is drawn from a pack of 52 cards. Find the probability of getting a red card:
  (View Answer Video)

Question 3 : If P(A)=, P(B)= and =, find . (View Answer Video)

Question 4 : In a game, a man wins rupee five for number six and losses rupee one for any other number, when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins/losses. (View Answer Video)

Question 5 : In a school, there are 1000 students out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII, given that the chosen student is a girl? (View Answer Video)

Application of Integrals

Question 1 : Given that , for x = 0 to x = 20. Find f(x) and g(x) such that the area between f(x) and from x = 0 to x = 5 be and area between g(x) and from y = 0 to y = 5 be . Is = ? Like functions f and g which work is better, team work or individual work? (View Answer Video)

Question 2 : Find the area bounded by curves . (View Answer Video)

Question 3 : Using integration, find the area of the  co-ordinates whose vertices are P(2,0), Q(4, 5) and R(6,3). (View Answer Video)

Question 4 : Find the area of the given curves and given lines:
 and x-axis (View Answer Video)

Question 5 : Find the area enclosed by the parabola and the line 2y = 3x + 12.   (View Answer Video)

Vector Algebra

Question 1 : Compute the magnitude of the following vectors:
(View Answer Video)

Question 2 : Find the vector quantities : 
(i)     Work                     (ii)      Force
(iii)   Velocity                 (iv)     Displacement.   (View Answer Video)

Question 3 : if a, b, c are unit vectors such that a + b + c = 0, then find the value of a.b + b.c + c.a. (View Answer Video)

Question 4 : Write the position vector of the point which divides the join of points with position vectors and in the ratio 2:1.  (View Answer Video)

Question 5 : If a line has direction ratios 2, -1, -2, then what are its direction cosines?   (View Answer Video)