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Maths-

General

Easy

Question

Solution of $Cot squared space theta plus open parentheses square root of 3 plus fraction numerator 1 over denominator square root of 3 end fraction close parentheses Cot space theta plus 1 equals 0$ is

$n π - \frac{π}{6}, n π - \frac{π}{3}, \forall n \in Z$
$n π + \frac{π}{6}, n π + \frac{π}{3}, \forall n \in Z$
$n π + \frac{π}{12}, \forall n \in Z$
$n π + \frac{π}{4}, \forall n \in Z$

The correct answer is: $n pi minus pi over 6 comma n pi minus pi over 3 comma straight for all n element of Z$

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If $Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals$

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If $straight A$ and $B$ are acute angles such that $Sin space A equals Sin squared space B$ and $2 Cos squared space A equals 3 Cos squared space B$ then $A equals$

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Three persons $P comma Q$ and $R$ of same mass travel with same speed $u$ such that each one faces the other always. After how much time will they meet each other?

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physics-General

Figure given shows the distance–time graph of the motion of a car. It follows from the graph that the car is

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physics-General

The number of values of k for which the system of equations $left parenthesis k plus 1 right parenthesis x plus 8 y equals 4 k comma k x plus left parenthesis k plus 3 right parenthesis y equals 3 k$ $negative 1$ has infinite number of solutions is

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The value of λ such that the system $x minus 2 y plus z equals negative 4 comma 2 x minus y plus 2 z equals 2 comma x plus y plus lambda z equals 4$
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Let $A equals open parentheses table row cell negative 5 end cell cell negative 8 end cell cell negative 7 end cell row 3 5 4 row 2 3 3 end table close parentheses comma B equals open parentheses table row cell x end cell row cell y end cell row cell z end cell end table close parentheses$ If AB is a scalar $left parenthesis not equal to 0 right parenthesis$ multiple of B, then $x plus y equals$

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An open tank is filled with Hg upto a height of 76cm. Find the pressure at the bottom of the tank and middle of the tank. (If atmospheric pressure is 1 atm) respectively are

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