A position of particle is `x=`at`+bt^(2)-ct^(3)` find out velocity when acceleration is zero (1) `v=a+b^2/(3c)` (2) `v=a-b^2/(3c)` (3) `v=2a-b^2/(3c)` (4) None of these
If (a)/(2)=(b)/(3)=(c)/(4), then a:b:c=2:3:4(b)4:3:23:2:4(d) None of these
If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b, then (a) a =-b=-c (c) a = b = c or a =-2b-_ 2c (b) a = 2b = 2c (d) none of these
The velocity time relation of a particle is given by v = (3t^(2) -2t-1) m//s Calculate the position and acceleration of the particle when velocity of the particle is zero . Given the initial position of the particle is 5m .
The distance covered by a particle in time t is given by x=a+bt+ct^2+dt^3 , find the dimensions of a,b,c and d.
In the expansion of (x-(1)/(3x^(2)))^(9), the term independent of x is T_(3) b.T_(4) c.T_(5) d.none of these
If v=3t^(2) - 2t +5 , where v is velocity (in m/s) and t is time (in second). Find the displacement (in m) of particle in third second. (A) 19 (B) 24 (C) 9 (D) None of these
If the two equations ax^(2)+bx+c=0 and 2x^(2)-3x+4=0 have a common root then (A) 6a=4b=-3c(B)3a=-4b=3c(C)6a=-4b=3c (D) none of these
If a statement is true for all the values of the variable, such statements are called as identities. Some basic identities are : (1) (a+b)^(2)=a^(2)+2ab+b^(2)=(a-b)^(2)+4ab (3) a^(2)-b^(2)=(a+b)(a-b) (4) (a+b)^(3)=a^(3)+b^(3)+3ab(a+b) (6) a^(3)+b^(3)=(a+b)^(3)=3ab(a+b)=(a+b) (a^(2)-ab) (8) (a+b+c)^(2)=a^(2)+b^(2)+c^(2)+2ab+2bc+2ca=a^(2)+b^(2)+c^(2)+2abc((1)/(a)+(1)/(b)+(1)/(c)) (10) a^(3)+b^(3)+c^(3)-3abc=(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca) =1/2(a+b+c)[(a-b)^(2)+(b-c)^(2)+(c-a)^(2)] If a+b+c=0,thena^(3)+b^(3)+c^(3)=3abc If x,y, z are different real umbers and (1)/((x-y)^(2))+(1)/((y-z)^(2))+(1)/((z-x)^(2))=((1)/(x-y)+(1)/(y-z)+(1)/(z-x))^2+lamda then the value of lamda is
