Question
In a triangle ABC, a point D lies on AB and points E and
F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. then find the length (in cm) of BC.Solution
Δ BDE ~ Δ BAF -------- (i) Δ BDF ~ Δ ABC ------- (ii) From (i), => x/(x+y) = 4/10 ------- (iii) From (ii), => x/(x+y) = 10/(10+t) ------- (iv) Now using (iii) in (iv) we get, => 4/10 = 10/(10+t) => 20 + 2t = 50 => t = 15 Therefore, BC = 4 + 6 + 15 = 25 cm
Read the given statement and conclusions carefully. Decide which of the given conclusions is/are true based on the statement.
Statement:
U...
Statements: U $ N © C @ H © Y
Conclusions:Â
 I. U © HÂ
II. C # UÂ
III.H © U
Statements: D > E > G ≤ H < I; G > P > F
Conclusions:
I. D > F
II. P < I
III. D > I
If '>' denotes '+', '<' denotes '-', '-' denotes '×', '×' denotes '÷', '÷' denotes '=', then choose the correct statement of the following.
...Statements: Z ≤ O = Q < P; A = X > M = Y ≥ P
Conclusions:
I. A > O
II. Z < X
III. Q ≤ M
Statement: A < B; D ≤ C = B; I > C; E ≥ B
Conclusion:
I. I > E
II. E ≥ I
Statements: S > U ≥ V = X, Y < M < X, Y = T ≥ W
Conclusions:
I. S > Y
II. M ≤ U
III. W < XStatement: C ≥ O ≥ S = Z ≤ N = R
Conclusions:
I. C > N
II. S ≤ R
Statements: Z % Y; X # W; U % V; W & V; Y @ X
Conclusions:Â Â Â Â Â
I. U @ X Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statements: B & A, A # O, O $ Z, Z @ S
Conclusions:
I. Z $ A
II. Z & A