Which of the triangles numbered 1 to 4 are obtuse triangles?
Which of the triangles numbered 1 to 4 are obtuse triangles? => 1 only or 2 only or 2 and 4 or 1 and 3..
Which of the triangles numbered 1 to 4 is a scalene obtuse triangle?
Which of the triangles numbered 1 to 4 is a scalene obtuse triangle? => 1 only or 2 only or 3 only or 4 only..
Matrices and Determinants
[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..
[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..Example 2:
The following are examples of an infinite set. Set of all points on a line segment of 2cm. Set of all similar triangles in a plane. Set of rational numbers between the integers 1 and 2 {x : x I and x > 2} {x: x is an even number..
Geometrical representation of a Complex number, Argand diagram
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this..
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this..Example:
Using determinants, find the area of triangle whose vertices are (2, -7), (1, 3), (10, 8). Solution: (x 1 , y 1 ) = (2, -7) (x 2 , y 2 ) = (1, 3) (x 3 , y 3 ) = (10, 8) Area of the triangle = -47.5 Since area has to be a positiv..
Using determinants, find the area of triangle whose vertices are (2, -7), (1, 3), (10, 8). Solution: (x 1 , y 1 ) = (2, -7) (x 2 , y 2 ) = (1, 3) (x 3 , y 3 ) = (10, 8) Area of the triangle = -47.5 Since area has to be a positiv..Binomial Theorem Summary
>Here, a and b may be any numbers. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r..
>Here, a and b may be any numbers. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r..Which of the figures is an obtuse triangle?
Which of the figures is an obtuse triangle? => Figure 4 or Figure 3 or Figure 2 or Figure 1..
Identify the figure that shows an obtuse triangle.
Identify the figure that shows an obtuse triangle. => Figure 1 or Figure 2 or Figure 3 or Figure 4..
Which of the following is/are isosceles obtuse triangles?
Which of the following is/are isosceles obtuse triangles? => Triangle-1 and Triangle-3 or Triangle-3 only or Triangle-1 only or Triangle-1 and Triangle-2..
Result
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