`C(15,12)=`

If vec x and vec y are two non-collinear vectors and ABC is a triangle with side lengths a,b and c satisfying (20a-15b) vec x + (15b-12c) vec y + (12c-20a) vec x xx vec y=0 is:

The vertices A and D of square A B C D lie on the positive sides of x- and y-a xi s , respectively. If the vertex C is the point (12 ,17) , then the coordinates of vertex B are (14 ,16) (b) (15, 3) 17 ,5) (d) (17 ,12)

Evaluate the following: ""^(15)C_(2)=

The value of ^15 C0 2-^(15)C12+^(15)C2 2-^(15)C 15 2 is 15 b. -15 c. 0 d. 51

Find the sum of the series ^15 C_0+^(15)C_1+^(15)C_2++^(15)C_7dot

If A={11,13,14,15,16,18},B={11,12,15,16,17,19} and C={13,15,16,17,18,20} then verify Ann(BuuC)=(AnnB)uu(AnnC) .

If the integers -15,12,-17,5,-1,-5,6 are marked on the number line then the integer on the extreme left is _____.

If (1+x)^(15)=C_0+C_1x+C_2x^2++C_(15)x^(15), then find the value of C_2+2C_3+3C_4++14 C_(15)dot

If vec xa n d vec y are two non-collinear vectors and A B C isa triangle with side lengths a ,b ,a n dc satisfying (20 a-15 b) vec x+(15b-12 c) vec y+(12 c-20 a)( vec xxx vec y)=0, then triangle A B C is a. an acute-angled triangle b. an obtuse-angled triangle c. a right-angled triangle d. an isosceles triangle