Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 22
In the following figure, the diameter of the circle is 3 cm. AB and MN are two diameters such that MN is perpendicular to AB. In addition, CG is perpendicular to AB such that AE:EB = 1:2, and DF is perpendicular to MN such that NL:LM = 1:2. The length of DH in cm is
Solution
Let EO = x, So, AE = 1.5 - x
AE : EB = 1:2 => x = 1/2
(1.5-x):(1.5+x) = 1:2.
x=0.5.
So, EO = 0.5
Similarly, OL = 0.5
Now, EOLH is a parallelogram and EO = OL = 0.5
In triangle DOL, DO = radius = 1.5 and OL = 0.5
So, DL = $$\sqrt2$$
=> DH = $$(2\sqrt2 - 1)/2$$
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Averages QuestionsCAT Arithmetic QuestionsCAT Coordinate Geometry QuestionsCAT Time, Distance and Work QuestionsCAT Simple Interest Compound Interest Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Data change over a period QuestionsCAT Truth Lie Concept QuestionsCAT Venn Diagrams QuestionsCAT 2D & 3D LR QuestionsCAT Table with Missing values Questions
