(" iv ")quad ((2)/(3)m+(3)/(2)n)^(2)quad " (v) "

Find the following squares by using the identities.( i (b-7)^(2) (ii) (xy+3z)^(2) (iii) (6x2-5y)^(2) (iv) ((2)/(3)(m)+(3)/(2)(n))^(2) (v) (0.4p-0.5q)^(2)( vi) (2xy+5y)^(2)

Find (m+n)-:(m-n) , if : (i) m=(2)/(3) "and" n=(3)/(2) (ii) m=(3)/(4) "and" n=(4)/(3) (iii) m=(4)/(5) "and" n=-(3)/(10)

Find the following squares by using the identities. (i) (b-7)^2 (ii) (xy+3z)^2 (iii) (6x2-5y)^2 (iv) (2/3(m)+3/2(n))^2 (v) (0.4p-0.5q)^2 (vi) (2xy+5y)^2

If (m + n)/(m + 3n) = (2)/(3) , find : (2n^(2))/(3m^(2) + mn) .

Factorise the following. (i) (p-q) ^(2) -6( p-q) -16 (ii) m^(2) +2mn -24n^(2) (iii) sqrt5 a^(2) + 2a -3sqrt 5 (iv) a^(4) -3a^(2) +2 (v) 8m^(3) -2m^(2) n -15mn^(2) (vi ) (1)/( x^(2)) +(1) /( y^(2)) +(2)/( xy )

How many of the following radius orders are incorrect? (i) N^(3-)>P^(3-) (ii) O^(2-)>F^(-) (iii) Ca^(2+)>Sr^(2+) (iv) S^(-)>S^(2-) (v) S^(2-)>O^(-)

Show that the condition that tha concurrent lines with direction cosines (l_(1).m_(1),n_(1)),(l_(2),m_(2),n_(2))and(l_(3),m_(3),n_(3)) are coplanar is l_(1)(m_(2)n_(3)-m_(3)n_(2))+m_(1)(n_(2)l_(3)-n_(3)l_(2))+n_(1)(l_(2)m_(3)-l_(3)n_(2))=0

If (1+ax)^(n)=1+6x+(27)/(2)x^(2)+....+a^(n)x^(n) then the value of a and n are respectively (i) 2,3( ii) 3,2( iii) (3)/(2),4( iv )1,6( v) (3)/(2),6

If cottheta+tantheta=m and sectheta-costheta=n then (i) sintheta costheta=-m (ii) sintheta tantheta=-n (iii) (m^2n)^(2/3)-(mn^2)^(2/3)=1 (iv) (m^2n)^(1/3)+(xy^2)^(1/3)=1