`-a-b-c` is same as -a-(__________ ) .

If the arthmetic mean of (b-c)^2, (c-a)^2 and (a-b)^2 is the same as that of (b+c-2a)^2, (c+a-2b)^2 and (a+b-2c)^2 show that a=b=c .

If ax^(2)+bx+c=0,a!=0,a,b,c in R has distinct real roots in (1,2) then a and 5a+2b+c hue (A) same sign (B opposite sign (C) not determined (D) none of these

Triangles on the same base and between the same parallels are equal in area. GIVEN : Two triangles A B C and P B C on the same base B C and between the same parallel lines B C and A Pdot TO PROVE : a r( A B C)=a r( P B C) CONSTRUCTION : Through B , draw B D C A intersecting P A produced in D and through C , draw C Q B P , intersecting line A P in Q.

Initial volume of three samples of same gas A, B and C are same. The process A is adiabatic, B is isobaric and C is isothermal. Each of the sample has same final pressure and volume. The initial pressure of which sample was maximum.

If a, b, c, d lie in the same plane then (a times b) times (c times d) is equal to

If a and 4a + 3b + 2c have same sign. Then, ax^(2) + bx + c = 0(a ne 0) cannot have both roots belonging to

Consider the de Broglie wavelength of an electron and a proton. Which wavelength is smaller if the two particles have (a) the same speed (b) the same momentum (c) the same energy?

If bx+cy=a, there a, b, c are of the same sign, be a line such that the area enclosed by the line and the axes of reference is 1/8 square units, then : (A) b,a,c are in G.P. (B) b, 2a, c arein G.P. (C) b, a/2, c are in A.P. (D) b, -2a, c are in G.P.