Maths 12 Science Three Dimensional Geometry CBSE Solutions for MCQ in English

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

Question 1 : Find the equation 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 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 : Write the sum of intercepts cut off by the plane    on the three axes.  (View Answer Video)

Question 4 : 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 5 : 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)

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

Application of Derivatives

Question 1 : Find the equation of the normal to a curve   which passes through the point (1,2). (View Answer Video)

Question 2 : The volume of a cube is increasing at the rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres? (View Answer Video)

Question 3 : The normal at the point (1,1) on the curve  is  (View Answer Video)

Question 4 : Find the maximum profit that a company can make if the profit function is. (View Answer Video)

Question 5 : Which of the following functions are strictly decreasing on  (View Answer Video)

Probability

Question 1 : If P(A)=, P(B)= and =, find . (View Answer Video)

Question 2 : A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? Do you think that statement of B is always true?     (View Answer Video)

Question 3 :  A man is known to speak the truth 3 out of 5 times. He throws a die and reports that it is 1. Find the probability that it is actually 1.   (View Answer Video)

Question 4 : 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 5 : If  and  then find .  (View Answer Video)

Relations and Functions

Question 1 : Consider  given by f(x) = 4x + 3. Find the inverse of f. (View Answer Video)

Question 2 : Let  defined as f(x) = x be an identity function. Then, (View Answer Video)

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

Question 4 : Let R be the relation in the set N given by :
R = {(a, b) : a = b - 2, b > 6}.
Choose the correct answer : (View Answer Video)

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