If A 1- B 1- A 2- B 2- then A and B are in proportion and if P 1- Q 1- P 2- Q 2- then P and Q are in proportion-A- directB- inverseC- continuedD- indirect

The correct options are A direct B inverseIf A_1× B_1 = A_2× B_2, then A, B are said to be in inverse proportion. E.g. Speed Time are in inverse proportion. Mo ...

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Byju's Answer

Standard IX

Mathematics

Inverse Proportionality

If A 1× B 1= ...

Question

If $A_{1} \times B_{1} = A_{2} \times B_{2}$ , then A and B are in proportion and if $\frac{P_{1}}{Q_{1}} = \frac{P_{2}}{Q_{2}}$ , then P and Q are in proportion.

direct

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inverse

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continued

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indirect

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Solution

The correct options are
A direct
B inverse
If $A_{1} \times B_{1} = A_{2} \times B_{2}$ , then A, B are said to be in inverse proportion.

E.g. Speed-Time are in inverse proportion. More the speed, less is time if distance is constant.

Also,
$\frac{P_{1}}{Q_{1}} = \frac{P_{2}}{Q_{2}}$ , then P and Q are in
direct proportion.

E.g. Distance-Time are in direct proportion. More the distance, more is the time taken if speed is constant.

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Similar questions

\begin{matrix} A & B A_{1} & B_{1} A_{2} & B_{2} \end{matrix}

If A and B are in inverse proportion, then which of the following is true?

Q. If the points

(a_{1}, b_{1})

(a_{2}, b_{2})

and

(a_{1} + a_{2}, b_{1} + b_{2})

are collinear, then show that

a_{1} b_{2} = a_{2} b_{1}

Q. If

\frac{p + q}{p - q}, x

and

p^{2} - q^{2}

are in continued proportion then

x

Q. If

x \neq y

and the sequences

x, a_{1}, a_{2}, y

and

x, b_{1}, b_{2}, y

each are in

A . P

., then

(\frac{a_{2} - a_{1}}{b_{2} - b_{1}})

Q. If

α csc A = p

and

b cot A = q

, then prove

\frac{p^{2}}{a^{2}} - \frac{q^{2}}{b^{2}} = 1

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If A1×B1=A2×B2, then A and B are in proportion and if P1Q1=P2Q2, then P and Q are in proportion.

If $A_{1} \times B_{1} = A_{2} \times B_{2}$ , then A and B are in proportion and if $\frac{P_{1}}{Q_{1}} = \frac{P_{2}}{Q_{2}}$ , then P and Q are in proportion.