If 1 P- PQ 6where Q - P - 3- then find the values of P and Q -

We have, nbsp;1 P × P _____ Q 6 _____, and Q P = 3 Here, P × P is 6, nbsp; so the value of P is either 4 or 6. But if P = 4, then Q = (1×P) + 1 = (1 ...

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Standard XII

Mathematics

Summation of Determinant

If 1 P× PQ 6...

Question

If $1 P \times P_Q 6_$
where Q - P = 3, then find the values of P and Q .

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Solution

We have, $1 P \times P_Q 6_$ , and Q - P = 3
Here, $P \times P$ is 6, so the value of P is either 4 or 6.

But if P = 4, then Q = (1×P) + 1 = (1×4)+1 = 4+1=5, which does not satisfy the relation Q - P = 3.

Hence, P = 6 and then Q = (1×P) + 3 = (1×6)+3 = 6 +3 = 9.
This also satisfies the relation Q - P =3.

So, the values of P and Q are 6 and 9 respectively.

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If 1 P× P_____Q 6_____ where Q - P = 3, then find the values of P and Q .

If $1 P \times P_Q 6_$
where Q - P = 3, then find the values of P and Q .