1)a series f +ve nos is such that a1=4 and an+1=an+ 4/an n>0.then [a100]=
(where [] represents greatest integer function)
a.28
b.29
c.30
d.31
2)wht can be said abt the planes
2x-4y+2z=5
5x-y-z=8
x+y-z=7.........(multiple answer)
a.their intrsection is a triangular prism
b.their intrsection is a point
c.each plane is parallel to x=y/2=z/3
d.each plane passes through x=y/2=z/3
3)let a,b,c be three vectors such that they hav same mag.
if |a-b|2+|b-c|2+|c-a|2=27
then
a. a,b,c are coplanar
b. a,b,c represent orthogonal triad of vectors
c. a,b,c represents sides of a triangle (atleast in magnitude and direction)
d.the value of a.b+b.c+c.a is minimum in this case
(assume proper notation for vectors...:D)
4)
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iss speed se chalte hi reh jaoge
RUN dude[3]
1let f(x) be a quadratic polynomial with +ve integral coefficients and such that for every real a,b when b>a a∫bf(x)>0
also g(x)=f''(x)f(x) and g(0)=12
then
a.total no. of quadratic polynomial is_____
b.f(x)=0 has real roots(t/f)
c.max value of f(1)__
d.min value of f(1)__
