4^(2)-9b^(2)-11" ziqua zinal."

If a sec theta=1-b tan theta and a^(2)sec^(2)theta=5+b^(2)tan^(2)theta then (i)a^(2)b^(2)-4a^(2)=9b^(2)( ii) a^(2)b^(2)+4a^(2)=9b^(2) (iii) a^(2)b^(2)+9b^(2)=4a^(2)( iv )a^(2)b^(2)+9b^(2)=5a^(2)

If 4(a+2)^(2)-9a+2(2a^(2)-1)=4(b+2)^(2)-9b+2(2b^(2)-1)=15 where a,b in R and a>b then find the value of 8(a-b)

The value of the product (4a^(2)+3b)(9b^(2)+4a) at a=1, b=-2 is

Statement I: The points (a,0),(0,b) and (1,1) will be collinear if 1/a+1/b=1 Statement II: If 4a^(2)+9b^(2)-c^(2)+12ab=0 , then the family of lines ax+by+c=0 is either concurrent at (2,3) or at (-2,-3). Then which of the followng is true

Factorise completely : 4a^(2) - 12 ab + 9b^(2) + 4a - 6b

Simplify : (2a+3b+4c) ( 4a^(2) + 9b^(2) + 16c^(2) -6ab - 12bc - 8ca )

Factorize each of the following expressions: 4a^(2)-9b^(2)-2a-3b

The latus rectum of the ellipse 9x ^(2) + 16 y ^(2) = 144 is : a)4 b) 11/4 c) 7/2 d) 9/2