MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Chain Rule of Differentiation

If 3p+4q:3r...

Question

If $(3 p + 4 q) : (3 r + 4 s) = (3 p - 4 q) : (3 r - 4 s),$ the value of $p s : q r$ is

A

3 : 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

1 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

4 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

9 : 16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $1 : 1$
$(3 p + 4 q) : (3 r + 4 s) = (3 p + 4 q) : (3 r + 4 s) \Rightarrow \frac{3 p + 4 q}{3 r + 4 s} = \frac{3 p - 4 q}{3 r - 4 s} \Rightarrow \frac{3 p + 4 q}{3 p - 4 q} = \frac{3 r + 4 s}{3 r - 4 s}$

$\Rightarrow \frac{3 p + 4 q + 3 p - 4 q}{3 p + 4 q - 3 p + 4 q} = \frac{3 r + 4 s + 3 r - 4 s}{3 r + 4 s - 3 r + 4 s}$ (applying componendo and dividendo)
$\Rightarrow \frac{6 p}{8 q} = \frac{6 r}{6 s} \Rightarrow p s = q r \Rightarrow \frac{p s}{q r} = 1 \Rightarrow p s : q r = 1 : 1$

Suggest Corrections

thumbs-up

0

Similar questions

\frac{p}{q} = \frac{6}{5}

then find the value of the ratio:

\frac{3 p + 4 q}{3 p - 4 q}

Mark TRUE if the value is

\frac{19}{1}

otherwise mark FALSE.

3 p + 2 q = 7

p q = 3

, then find the value of

9 p^{2} + 4 q^{2}

P = [\begin{matrix} 2 & 3 & 1 0 & - 1 & 5 \end{matrix}]

Q = [\begin{matrix} 1 & 2 & - 6 0 & - 1 & 3 \end{matrix}]

3 P - 4 Q

3 P - 4 Q = [\begin{matrix} a & b & c d & e & f \end{matrix}]

a, b, c, d, e, f

Q. Find the number of terms in the expansion of

(3 p + 4 q)^{16}

Q. Find the value of

p

q

using elimination method:

3 p + 4 q = - 1

6 p - 2 q = 8

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Theorems in Differentiation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Chain Rule of Differentiation

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon