Three Dimensional Geometry CBSE Maths 12 Science MCQ Solutions 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 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 3 : Find the distance of the point (2, 12, 5) from the point of intersection of the lines   and the 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 : A line passes through the point with position vector and makes angles and with x, y and z-axis respectively. Find the equation of the line in the Cartesian form. (View Answer Video)

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

Inverse Trigonometric Functions

Question 1 : If  then find x. (View Answer Video)

Question 2 : Write the principal value of
   (View Answer Video)

Question 3 : Solve for
  (View Answer Video)

Question 4 : Evaluate:
(View Answer Video)

Question 5 : Write the principal value of   (View Answer Video)

Application of Integrals

Question 1 : Find the area of the smaller region bounded by the ellipse  and the straight line 8x + 3y = 12. (View Answer Video)

Question 2 : 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 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 smaller region bounded by the ellipse  and the line . (View Answer Video)

Question 5 : Find the area of the region bounded by the parabola  and y = | x |. (View Answer Video)

Probability

Question 1 : If E and F are two events such that,
 , Find P(not E and not F). (View Answer Video)

Question 2 : A and B throw a pair of dice alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, the find the probability that B wins.   (View Answer Video)

Question 3 :  A die is rolled. If E= (1, 3, 5), F(2, 3) and G= {2, 3, 4, 5}, find .  (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 :  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)