Maths Three Dimensional Geometry CBSE 12 Science MCQ in English Answers

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

Question 1 : 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 2 : Write the vector equation of the plane passing through the point (a, b, c) and parallel to the plane (View Answer Video)

Question 3 : What is the distance of the point (p, q, r) from the x-axis ? (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 : Find the angle between line and the plane 2x - y + 2z -13 = 0. (View Answer Video)

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

Probability

Question 1 : A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability of the random variable X? Find the mean.   (View Answer Video)

Question 2 :  Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. Two balls are transferred at random from Bag I to Bag II and then a ball is drawn from Bag II.  The ball so drawn is found to be red in colour. Find the probability that the transferred balls were both black.   (View Answer Video)

Question 3 : An insurance company insured 2,000 cyclists, 4,000 scooter drivers and 6,000 motorbike drivers. The probability of an accident involving a cyclist, scooter driver and a motorbike driver are 0.01, 0.03, and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?     (View Answer Video)

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

Question 5 : Assume that the chances of a patient having a heart attack are 40%. Assume that a meditation and yoga course reduces the risk of heart attack by 30% and the prescription of certain drugs and certain restrictions reduces the risk by 25%. At a time, a patient choses only one of the two options with equal probabilities. After going through one of the two options, the patient is selected at random who is suffering from a heart attack. Find the probability that the patient followed a course of meditation and yoga. Write the value referred here.      (View Answer Video)

Linear Programming

Question 1 : The objective function is maximum or minimum, which lies on the boundary of the feasible region. (View Answer Video)

Application of Integrals

Question 1 : Using the method of integration find the area of the region bounded by lines:
2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0.
  (View Answer Video)

Question 2 : Find the area of the given curves and given lines:
 and x-axis (View Answer Video)

Question 3 : Find the area of smaller region bounded by the ellipse  and the line . (View Answer Video)

Question 4 : Using integration, find the area bounded by the tangent to the curve  at the point (2, 1) and the lines whose equations are x = 2y and x = 3y - 3. (View Answer Video)

Question 5 : A farmer has a field of shape bounded by and x = 3, he wants to divide this into his two sons equally by a straight line x = c. Can you find c? What value, you find in the person ? (View Answer Video)