Skip to content
Philoid
Browse Saved
Back to chapter
Maths
All India - 2016
Home · Class 10 · Maths · Ref. Book · All India - 2016
Prev
Next
Q25 of 47 Page 1

Solve for x:

Given: 



On taking LCM we get,



On cross multiplying, we get,


 


(2x + 3)(x + 4) = 4(x + 1)(x + 2)


 


(2x2 + 8x + 3x + 12) = 4(x2 + 2x + x + 2)


 


2x2 + 11x + 12 = 4x2 + 12x + 8


 


2x2 + x - 4 = 0


 


As we know for an equation ax2 + bx + x = 0


 


We have


 



 


Here a = 2, b = 1 and c = - 4


 



 


Or


 



 

More from this chapter

All 47 →
23

draw a circle of radius 4 cm. Draw two tangents to the circle inclined at an angle of 60° to each other.

24

In fig. 7, two equal circles, with centers O and O’, touch each other at X. OO’ produced meets the circle with center O’ at A. AC is tangent to the circle with center O, at the point C. O’D is perpendicular to AC. Find the value of

26

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 600. From a point Y, 40 m vertically above X, the angle of elevation of the top Q of tower is 45°. Find the height of the tower PQ and the distance PX. (Use √3 = 1.73)

27

The houses in a row are numbered consecutively from 1 to 49. Show that there exists a value of X such that sum of numbers of houses preceding the house numbered X is equal to sum of the numbers of houses following X.

Questions · 47
All India - 2016
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 18 19 20 28 29 30 31 10 18 19 20 28 29 30 31
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved