Question
Statements: J $ R % U % C Conclusions:
I. R © C II. J * U III. C % J In the following questions, the symbols @, ©, %, * and $ are used with the following meaning as illustrated below: ‘E © F’ means ‘E is not greater than F’. ‘E $ F’ means ‘E is not smaller than F’. ‘E @ F’ means ‘E is neither smaller than nor greater than F. ‘E * F’ means ‘E is neither equal to nor greater than F’. Now in each of the following questions, assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordinglySolution
Combined Inequality: J ≥ R > U > C Decoded conclusion: I. R ≤ C II. J < U III. C > J J ≥ R > U > C R > C. Hence conclusion I is not true. J ≥ R > U > C J > U. Hence conclusion II is not true. J ≥ R > U > C J > C. Hence conclusion III is not true.
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A triangle and a parallelogram have the same base 42 cm and the same area. If the height of the parallelogram is 14 cm, then find the length of the alti...
The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
- Determine the inradius of an equilateral triangle if its height is 6√3 cm.
Find the altitude of an equilateral triangle whose side is 8√3 cm.
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
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