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Consider a matrix [3 4 0 2 1 0 3 1K] and the following statements: statements (S_1): Inverse of M exists statements (S_2):K!=0, which of the following in respect of the above matrix and statements is/are incorrect? S_1 implies S_2 but S_2 does not imply S_1 S_2 implies S_1 but S_1 does not imply S_2 Neither S_1 implies S_2 nor S_2 implies S_1 S_1 implies S_2 as well as S_2 implies S_1

Tangents and normal drawn to the parabola y^2=4a x at point P(a t^2,2a t),t!=0, meet the x-axis at point Ta n dN , respectively. If S is the focus of theparabola, then (a) S P=S T!=S N (b) S P!=S T=S N (c) S P=S T=S N (d) S P!=S T!=S N

The equation of a circle S_1 is x^2 + y^2 = 1 . The orthogonal tangents to S_1 meet at another circle S_2 and the orthogonal tangents to S_2 meet at the third circle S_3 . Then (A) radius of S_2 and S_3 are in ratio 1 : sqrt(2) (B) radius of S_2 and S_1 are in ratio 1 : 2 (C) the circles S_1, S_2 and S_3 are concentric (D) none of these

The parabolas y^2=4xa n dx^2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S_1,S_2,S_3 are the areas of these parts numbered from top to bottom, respectively, then S_1: S_2-=1:1 (b) S_2: S_3-=1:2 S_1: S_3-=1:1 (d) S_1:(S_1+S_2)=1:2

The parabolas y^2=4xa n dx^2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S_1,S_2,S_3 are the areas of these parts numbered from top to bottom, respectively, then S_1: S_2-=1:1 (b) S_2: S_3-=1:2 S_1: S_3-=1:1 (d) S_1:(S_1+S_2)=1:2

In the circuit shows (Fig.) switches S_(1) and S_(3) have been closed for 1 s and S_(2) remained open. Just after 1 s , switch S_(2) is closed and S_(1) and S_(3) are opened. Find after that instant (t = 0) : the maximum charge on the capacitor

Two students A & B carried out an experiment to measure the time period of a pendulum which in actual is 5.40s . Their experimental readings are as follows : {:(StudentA," ",StudentB,),(5.43s," ",5.32s,),(5.37s," ",5.34s,),(5.41s," ",5.30s,),(5.52s," ",5.29s,),(5.51s," ",5.33s,):} Then

Balance the following chemical equation and identify the type of chemical reaction. (a) Mg(s)+Cl_(2)(g) to MgCl_(2)(s) (b) HgO(s)overset("Heat")to Hg(l)+O_(2)(g) (c) Na(s)+S(s)overset("Fuse")toNa_(2)S(s) (d)TiCl_(4)(l)+Mg(s)toTi(s)+MgCl_(2)(s) , (e)CaO(s)+SiO_(2)(s)toCaSiO_(3)(s) (f) H_(2)O_(2)(l)overset("UV")to H_(2)O(l)+O_(2)(g)