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51. If a, is no. of ways to split positive integer 'n' in all possible ways, then (A) (B) a, = a, ta,:n> 2 a=a+2.a : n> 2 a,= 2"-

51. If a, is no. of ways to split positive integer 'n' in all possible ways, then (A) (B) a, = a, ta,:n> 2 a=a+2.a : n> 2 a,= 2"-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Qn 51

50 Locus of point of intersection of tangents at the ends ofa chord subtending an angle of 0, at arigin, such that tan-a for a parabola y 4ax is Parabola if a-2 )Parabola if a 2(1+/2) (PTHyperbola if a (D) Pair of straight line if a = 51. If a, is no. of ways to split positive integer 'n' in all possible ways, then (A) a, = 2" (B) a, = a, +a,:n> 2 a, =a+2.a2; n> 2 (DY Y a, 2"-1 %3D 52. Z-2i If Z moves on arg 2, then %3D Z-(1+i) +i is interior point (B) + 2i is interior point (C) +i is exterior point +2i is exterior point 53 Maximum and minimum value of Z=Z=(Z)-8 are m, and m, respectively, if Z moves 8. ** ZZ2Zi+2iZ=0, then m+m,%3D6 (B) m¡m, = 10 3D0 7 m, danotog GIE and L lis modulus value function.
Transcribed Image Text:50 Locus of point of intersection of tangents at the ends ofa chord subtending an angle of 0, at arigin, such that tan-a for a parabola y 4ax is Parabola if a-2 )Parabola if a 2(1+/2) (PTHyperbola if a (D) Pair of straight line if a = 51. If a, is no. of ways to split positive integer 'n' in all possible ways, then (A) a, = 2" (B) a, = a, +a,:n> 2 a, =a+2.a2; n> 2 (DY Y a, 2"-1 %3D 52. Z-2i If Z moves on arg 2, then %3D Z-(1+i) +i is interior point (B) + 2i is interior point (C) +i is exterior point +2i is exterior point 53 Maximum and minimum value of Z=Z=(Z)-8 are m, and m, respectively, if Z moves 8. ** ZZ2Zi+2iZ=0, then m+m,%3D6 (B) m¡m, = 10 3D0 7 m, danotog GIE and L lis modulus value function.
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