Q.6.If `|[3,m], [ 4,5]|` =3 then find `m`

In Figure, /_\A C B ~ /_\A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m and A P=2. 8 c m , find C A and A Q .

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

" if " a_(1) ,a_(2), a_(3)….." are in A.P, then find the value of the following determinant:" |{:(a_(p)+a_(p+m) +a_(p+2m),,2a_(p)+3a_(p+m)+4a_(p+2m),,4a_(p)+9a_(p+m)+16a_(p+2m)),(a_(p)+a_(q+m)+a_(q+2m),,2a_(q)+3a_(q+m) +4a_(q+2m),,4a_(q)+9a_(q+m)+16a_(q+2m)),(a_(r)+a_(r+m)+a_(r+2m),,2a_(r)+3a_(r+m)+4a_(r+2m),,4a_(r) +9a_(r+m)+16a_(r+2m)):}|

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .

The length, breadth and height of a room are 8m ,\ 6. 5 m\ a n d\ 3. 5 m respectively. Find the volume of the air contained in the room.

Calculate the mass of air in a room of dimensions 4.5 m x 3.5 m x 2.5 m if the density of air at N.T.P. is 1.3 "kgm"^(-3)

In Figure, R Q is a tangent to the circle with centre O . If S Q=6c m and Q R=4c m , then O R= (a) 8cm (b) 3cm (c) 2.5cm (d) 5cm

If P=[(6,-2),(4,-6):}] and Q = [{:(5,3),(2,0):}] find the matrix M such that 2Q - 3P - 3M =0

In Fig. 4.177, A C B ∼ A P Q . If B C=10 c m , P Q=5c m , B A=6. 5 c m and A P=2. 8 c m find C A and A Q . Also, find the area ( A C B): a r e a\ ( A P Q) . (FIGURE)

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q// B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .