STATEMENT-1: The angle between one of the lines represented by ax^2 + 2hxy + by^2 = 0 and one of the lines represented by (a + 2008)x^2 + 2hxy + (b + 2008)y^2 = 0 is equal to angle between other two lines of the system. and STATEMENT-2: The pair of lines given by a^2 x^2 + 2008(a + b)xy + b^2 y^2 = 0 is equally inclined to the pair given by ax^2 + 2008xy + by^2 = 0.


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Question Number 26693 by Tinkutara last updated on 28/Dec/17

$S T A T E M E N T - 1 : T h e a n g l e b e t w e e n$ $o n e o f t h e l i n e s r e p r e s e n t e d b y {a x}^{2} +$ $2 h x y + {b y}^{2} = 0 a n d o n e o f t h e l i n e s$ $r e p r e s e n t e d b y (a + 2008) x^{2} + 2 h x y$ $+ (b + 2008) y^{2} = 0 i s e q u a l t o a n g l e$ $b e t w e e n o t h e r t w o l i n e s o f t h e$ $s y s t e m .$ $a n d$ $S T A T E M E N T - 2 : T h e p a i r o f l i n e s$ $g i v e n b y a^{2} x^{2} + 2008 (a + b) x y + b^{2} y^{2}$ $= 0 i s e q u a l l y i n c l i n e d t o t h e p a i r$ $g i v e n b y {a x}^{2} + 2008 x y + {b y}^{2} = 0 .$
Commented by Tinkutara last updated on 31/Dec/17
Anyone?
Commented by Tinkutara last updated on 31/Dec/17
Answer given is both true but Reason doesn't explain Assertion.
Commented by ajfour last updated on 31/Dec/17

$(1) T r u e (2) F a l s e$
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