Class 11 | Set | Lecture 1 | Definition | Notation | Some Important Points

Some Important Definitions of Rectilinear motion

Consider a square with vertices at (1,1),(-1,1),(-1,-1),a n d(1,-1)dot Set S be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region S and find its area.

Consider a square with vertices at (1,1),(-1,1),(-1,-1),a n d(1,-1)dot Set S be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region S and find its area.

The x-intercept of the tangent to a curve is equal to the ordinate of the point of contact. The equation of the curve through the point (1,1) is

A class of problems that requires one to use permutations and combinations for computing probability has at its heart notion of sets and subsets. They are generally an abstract formulation of some concrete situation and require the application of counting techniques. A is a set containing 10 elements. A subset P_(1) of A is chosen and the set A is chosen and the set A is reconstructed by replacing the elements of P_(1) . A subset P_(2) of A is chosen and again the set A is reconstructed by replacing the elements of P_(2) . This process is continued by choosing subsets P_(1), P_(2), ... P_(10) . The number of ways of choosing subsets P_(1), P_(2),...P(10) is

A class of problems that requires one to use permutations and combinations for computing probability has at its heart notion of sets and subsets. They are generally an abstract formulation of some concrete situation and require the application of counting techniques. A is a set containing 10 elements. A subset P_(1) of A is chosen and the set A is chosen and the set A is reconstructed by replacing the elements of P_(1) . A subset P_(2) of A is chosen and again the set A is reconstructed by replacing the elements of P_(2) . This process is continued by choosing subsets P_(1), P_(2), ... P_(10) . The probability that P_(i)capP_(j)=phi" "AA" "i nej,i,j=1,2,....,10 is

A class of problems that requires one to use permutations and combinations for computing probability has at its heart notion of sets and subsets. They are generally an abstract formulation of some concrete situation and require the application of counting techniques. A is a set containing 10 elements. A subset P_(1) of A is chosen and the set A is chosen and the set A is reconstructed by replacing the elements of P_(1) . A subset P_(2) of A is chosen and again the set A is reconstructed by replacing the elements of P_(2) . This process is continued by choosing subsets P_(1), P_(2), ... P_(10) . The probability that P_(1)capP_(2)cap...P_(10)=phi is

A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. if there are 20 students in each of these classes, in how many ways can the team be constituted. What is the importance of sports in one's life ?

A disc of mass M and radius R as shown in figure has some points on it. C is the cenre of disc, AB is the chord and O is mid point of chord. The notation I_(A) means moment of inertia of the disc about axis passing through point A and pependicular to the plane of disc. Choose the correct option(s)

Let l be the lower class limit of a class-interval in a frequency distribution and m be the mid-point of the class. Then, the upper class limit of the class is (a) m+(l+m)/2 (b) l+(m+1)/2 (c) 2m-l (d) (m-2l)