Maths Three Dimensional Geometry CBSE 12 Science MCQ in English Solutions

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

Question 1 : Find the vector and cartesian equations of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y +3z = 5 and
3x + 3y + z = 0. (View Answer Video)

Question 2 : Find the distance of the plane : 3x - 4y + 12z = 3 from the origin. (View Answer Video)

Question 3 : Find the distance of the point    from the plane 3x + y - z + 2+0 measured parallel to the line  Also, find the foot of the perpendicular from the given point upon the given plane. (View Answer Video)

Question 4 : If lines and    intersect, then find the value of k and hence find the equation of plane containing these lines. (View Answer Video)

Question 5 : Write the equation of the straight line through the point and parallel to z-axis. (View Answer Video)

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

Relations and Functions

Question 1 : Number of binary sets on the set  is, (View Answer Video)

Question 2 : The function, f(x) = 2x + 1 is, (View Answer Video)

Question 3 : If  is defined by , write f(f(x)). (View Answer Video)

Question 4 : Let * be the binary operation on N given by a * b = LCM of a and b. Find 20 * 16. (View Answer Video)

Question 5 : Functions  are defined respectively, by , find  .  (View Answer Video)

Probability

Question 1 : If A and B are two events such that P(A)=0.3, P(B)=0.6 and P(B/A)=0.5, find P(AB). (View Answer Video)

Question 2 :  A bag contains 3 red and 7 black balls. 2 balls are selected at random one by one without replacement. If the second selected ball happens to be red, what is the probability that the first selected ball is also red?   (View Answer Video)

Question 3 : Three persons A, B and C apply for a  job of Manager in a Private company. Chance of their selection (A, B and C) are in the ratio 1:2:4. The probability that A, B, and C can introduce changes to improve profits of company are 0.8, 0.5 and 0.3 respectively, if the changes does not take place, find the probability that is due to the appointment of C.    (View Answer Video)

Question 4 : 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)

Question 5 :  Four cards are drawn successively with replacement from a well shuffled deck of 52 cards. What is the probability that:
 Only 2 cards are spades?   (View Answer Video)

Application of Derivatives

Question 1 : The approximate change in the volume of a cube of side x meters caused by increasing the side by 3% is _____________. (View Answer Video)

Question 2 : The radius of an air bubble is increasing at the rate of . At what rate is the volume of the bubble increasing when its radius is 1 cm? (View Answer Video)

Question 3 : Find the approximate value of f(5.001) where. (View Answer Video)

Question 4 : The function f is a differentiable function and satisfies the functional equation f(x) + f(y) = f(x + y) – xy – 1for every pair x, y of real numbers. If f(1) = 1, then the number of integers n ≠ 1 for which f(n) = n is_______________. (View Answer Video)

Question 5 : On which of the following intervals in the function  strictly decreasing? (View Answer Video)