If a - b - 2 - 3 and x - y - 3 - 4 - then 2 a x - 25 b y 3 a y - 4 b x is

The correct option is C 24 / 5 a:b = 2:3. x:y = 3:4 #160; x:y #160;a =2k #160; #160; x= 3mb =3k #160; #160; y= 4m 2ax 25by/30y+4bx = 2 ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Distance Formula

If a : b = ...

Question

If $a : b = 2 : 3$ and $x : y = 3 : 4,$ then $\frac{2 a x - 25 b y}{3 a y + 4 b x}$ is

24 / 5

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

5 / 24

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

- 24 / 5

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

12 / 13

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

Open in App

Solution

The correct option is C $- 24 / 5$
a:b = 2:3. x:y = 3:4 x:y
a =2k x= 3m
b =3k y= 4m
$\frac{2 a x - 25 b y}{30 y + 4 b x} = \frac{2 (2 k) (3 m) - 25 (3 k) (4 m)}{3 (2 k) (4 m) + 4 (3 k) (3 m)}$
$= \frac{12 k m - 300 k m}{24 k m + 36 k m .} = \frac{- 200 k m}{60 k m}$
$= \frac{- 24}{5}$

Suggest Corrections

Similar questions

Q. If

a : b = 2 : 3, x : y = 3 : 4

then the value of

\frac{25 b y - 2 a x}{3 a y + 4 b x}

Verify each of the following :

(i) $(\frac{5}{7} \times \frac{12}{13}) \times \frac{7}{18} = \frac{5}{7} \times (\frac{12}{13} \times \frac{7}{18})$
(ii) $\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}$
(iii) $(\frac{- 9}{5} \times \frac{- 10}{3}) \times \frac{21}{- 4} = \frac{- 9}{5} \times (\frac{- 10}{3} \times \frac{21}{- 4})$

Q. If A is in the III quadrant, 3 tan A –4 = 0 then 5 sin 2A + 3 sin A + 4 cos A=

A rational number between $\frac{- 2}{3} and \frac{1}{4}$

(a) $\frac{5}{12}$

(b) $\frac{- 5}{12}$

(d) $\frac{- 5}{24}$

√(√12-√8)(√3+√2)/√(5+√24)

Join BYJU'S Learning Program

If a:b=2:3 and x:y=3:4, then 2ax−25by3ay+4bx is

The correct option is C −24/5a:b = 2:3. x:y = 3:4 x:y a =2k x= 3mb =3k y= 4m2ax−25by30y+4bx=2(2k)(3m)−25(3k)(4m)3(2k)(4m)+4(3k)(3m)=12km−300km24km+36km.=−200km60km=−245

If $a : b = 2 : 3$ and $x : y = 3 : 4,$ then $\frac{2 a x - 25 b y}{3 a y + 4 b x}$ is

The correct option is C $- 24 / 5$
a:b = 2:3. x:y = 3:4 x:y
a =2k x= 3m
b =3k y= 4m
$\frac{2 a x - 25 b y}{30 y + 4 b x} = \frac{2 (2 k) (3 m) - 25 (3 k) (4 m)}{3 (2 k) (4 m) + 4 (3 k) (3 m)}$
$= \frac{12 k m - 300 k m}{24 k m + 36 k m .} = \frac{- 200 k m}{60 k m}$
$= \frac{- 24}{5}$