If `"Delta"_1=|x bb a x b a a x|a n d"Delta"_2=|x b a x|` are the given determinants, then `"Delta"_1=3("Delta"_2)^2` b.`d/(dx)("Delta"_1)=3"Delta"_2` c. `d/(dx)("Delta"_1)=3("Delta"_2)^2` d. `"Delta"_1=3"Delta"2 3//2`

If Delta_1=|(1,0),(a,b)| and Delta_2=|(1,0),(c,d)| , then Delta_2Delta_1 is equal to :

Let delta=|A x x^2 1 B y y^2 1 C z z^2 1|a n d_1=|A B C x y z y z z xx y|, then show that delta = delta1

In a triangle A B C ,(r_1+r_2)/(1+cosC) is equal to (2a b)/(c"Delta") (b) ((a+b))/(c"Delta") (a b c)/(2"Delta") (d) (a b c)/("Delta"^2)

In a "Delta"A B C\ ((a^2)/(sinA)+(b^2)/(sinB)+(c^2)/(sinC))dotsinA/2sinB/2sinC/2 simplifies to 2"Delta" (b) "Delta" (c) "Delta"/2 (d) "Delta"/4 (where \ "Delta" is the area of triangle)

In a Delta A B C ,\ if\ a=2,\ b=3\ a n d\ sin A=2/3 then find /_B

Delta C D E is an equilateral triangle formed on a side C D of a square A B C Ddot Show that Delta A D E\ ~= Delta B C E .

G is the centroid of triangle A B Ca n dA_1a n dB_1 are rthe midpoints of sides A Ba n dA C , respectively. If "Delta"_1 is the area of quadrilateral G A_1A B_1a n d"Delta" is the area of triangle A B C , then "Delta"//"Delta"_1 is equal to a. 3/2 b. 3 c. 1/3 d. none of these

If Delta A B C ~ Delta D E F such that B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)=

If A_1,B_1,C_1, , are respectively, the cofactors of the elements a_1, b_1c_1, , of the determinant "Delta"=|a_1b_1c_1a_1b_2c_2a_3b_3c_3|,"Delta"!=0 , then the value of |B_2C_2B_3C_3| is equal to a1^2Δ b. a_1Δ c. a_1^2Δ d. a1 2^2Δ

Four points A(6,3),\ B(-3,5),\ C(4,-2)a n d\ D(x ,3x) are given in such a way that ( Delta D B C)/( Delta A B C)=1/2 ,find x