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`

In Delta ABC if r_1=2r_2=3r_3 and D is the mid point of BC then cos/_ADC=

In the figure given hat(A)=C hat(E )D, Delta CAB ~ Delta CED find x.

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

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 alpha,beta are the roots of x^2+p x+q=0a n dgamma,delta are the roots of x^2+p x+r=0, then ((alpha-gamma)(alpha-delta))/((beta-gamma)(beta-delta))= a. 1 b. q c. r d. q+r

Let alpha,beta be the roots of the quadratic equation a x^2+b x+c=0and Delta =b^2-4ac cdotIfalpha+beta,alpha^2+beta^2,alpha^3+beta^3 are in G.P. Then a. Delta!=0 b. bDelta=0 c. cDelta =0 d. Delta =0

The determinant "Delta"=|(a^2+x) ab ac ab (b^2+x) bc ac bc (c^2+x)| is divisible by a. x b. x^2 c. x^3 d. none of these

If a , b and c are the side of a triangle, then the minimum value of (2a)/(b+c-a)+(2b)/(c+a-b)+(2c)/(a+b-c)i s (a) 3 (b) 9 (c) 6 (d) 1

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angled (b) equilateral (c) isosceles (d) none of these

In a DeltaABC, b = 12 units, c = 5 units and Delta = 30 sq. units. If d is the distance between vertex A and incentre of the triangle then the value of d^(2) is _____