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Maths-

General

Easy

Question

Assertion (A): If the system of equations $3 x minus 2 y plus z equals 0 comma lambda x minus 14 y plus 15 z equals 0 comma x plus 2 y minus 3 z equals 0$ have non zero solution then $lambda equals 5$
Reason (R): If the system of equations $A X equals 0$ has a non zero solution then $bold italic A$ is singular

Both A and $R$ are true and $R$ is the correct explanation of A
Both $A$ and $R$ are true and $R$ is not correct explanation of $A$
A is true but $R$ is false
A is false but $R$ is true

The correct answer is: Both A and $R$ are true and $R$ is the correct explanation of A

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A binary star consists of two stars $A$ (mass 2.2 $M subscript s end subscript$ ) and B (mass 11 $M subscript s end subscript$ ), where $M subscript s end subscript$ is the mass of the sun. They are separated by distance $d$ and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star $B$ about the centre of mass is

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A force of- F $stack k with hat on top$ acts on $O$ , the origin of the coordinate system. The torque about the point 1, -(a) is

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For such questions, we should know area of different shapes.

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