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The figure may be labelled as shown. 
The simplest parallelograms are LMHJ and BDFM i.e. 2 in number. The parallelograms composed of two components each are ABML and MFGH i.e. 2 in number. The parallelograms composed of three components each are LBHI, LBEF, BDGH, DFLA, BCFH, KLFH, A6HJ and LFGJ i.e. 8 in number. The parallelograms composed of six components each are LCFI, KBEH and ADGJ i.e. 3 in number. Total number of parallelograms in the figure = 2 + 2 + 8 + 3 = 15.
In Δ ABC, ∠ B= 68° and ∠ C 32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and...
Fing the value of:
[(1024)(n/5) × (4)(2n+1) ] / [(16)n × (4)(n-1) ]
Find the value x2 + y2, if xy = 13 and x + y = 7.
If (3x - y) = 3, xy = (2/3), then find the value of {x3 - (y3/27)}
If 'a' = 2 + √3, then find the value of [a2 - (1/a2)].
If (x – 12)3 + (x – 5)3 + (x – 7)3 = 3(x – 12)(x – 5)(x – 7) then find the value of (x2 + 5x...
Evaluate (998)3 without multiplying directly.
Given that x8-34x4+1=0, x>0. What is the value of (x3+ x-3)?
