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Answer:
hey here is your answer
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Step-by-step explanation:
1.
just put value of n as 12
so your final answer would turned out to be 34
ie option C
2.
just subtract first term from second term
so we get
8-13=-5
so correct option is option B
3.
in this sum put tn=0
also here a=-12
d=3
so then by using formula tn=a+(n-1)d and substituting given values in it
we get n=5 ie 5th term is 0
so option C
4.option C
5.use formula tn=a+(n-1)d and substitute given values ie in first formula n=10 and then n=14
respectively you would be getting two simultaneous equations
solve them
you get
d=2
option A
6.
so as the two triangles are similar their corresponding angles would be congruent
thus then
angle a=angle p=47
angle b=angle q=83
angle c=angle r
so to find angle c apply angle sum property on triangle abc
you get angle c=50
option C
7.
same here as two triangles are similar the ratio of their areas is ratio of squares of their corresponding sides
ie area of triangle abc/area of triangle def=bc square/ef square
ie 54/area of triangle def=(3)square/(4)square
solve it you get area of triangle def=96 cm.square
so option B
8.
so here as angle ade=angle abc and these two angles being corresponding angles
we know that if the corresponding angles are equal then the lines are parallel
so as de parallel to bc
use basic proportionality theorem
we get
ad/db=ae/ec
solve it and substitute given values in it we get
CE=4.5 cm
option A is ryt
9.
so in this sum pq,qr and pr forms a Pythagorean triplet as qr square+pr square=pq square
hence triangle pqr is a right angled triangle where in right angled is at angle r
hence angle r=90 degrees
option D
10.
as here triangle ade similar to triangle abc
their corresponding sides would be in equal ratios
hence de/bc=ae/ac
substitute given values in it and solve
we get
AC=5 cm
hence option B