[" Canon of DERIVATIVES "],[qquad beta(D(26)^(1/3)quad (N.C.E.R.T.;H.P.B.2010S)]

If the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the expansion of (1+x)^(14) are in A.P., then r is/are a. 5 b. 11 c. 10 d. 9

If the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the expansion of (1+x)^(14) are in A.P., then r is/are a. 5 b. 11 c. 10 d. 9

If P(AuuB)=0. 8\ a n d\ P(AnnB)=0. 3 ,\ t h e n\ P( A )+P( B )= a. 0. 3 b. 0. 5 c. 0. 7 d. 0. 9

If sintheta=-1/2a n d t a ntheta=1/(sqrt(3))t h e n theta s equal to- 30^0 b.150^0 c.210^0 d.none of these

If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta s equal to- 30^0 b. 150^0 c. 210^0 d.none of these

The distance between the point ( acosalpha,asinalpha) and ( acosbeta,asinbeta) is (a) ( b ) (c) acos( d )(( e )alpha-beta)/( f )2( g ) (h) (i) (j) (b) ( k ) (l)2acos( m )(( n )alpha-beta)/( o )2( p ) (q) (r) (s) (c) ( d ) (e)2as in (f)(( g )alpha-beta)/( h )2( i ) (j)( k ) (l) (d) ( m ) (n) asin( o )(( p )alpha-beta)/( q )2( r ) (s) (t) (u)

Number of ways of selecting three integers from {1,2,3, , n} if their sum is divisible by 3 is a. b . c.3d .(^(e . f. n//3g .)h . i. C_j .3k . l.)+m . n.(n//3)^(o.3p .)q .r . s. if t . u. n=3k ,k in N v. w. x. y . z.2a a .(^(b b . cc. n-1//3d d .)e e . ff. C_g g .3h h . ii.)+j j .(^(k k . ll.(m m . nn. n+2o o .)//3p p .)q q . rr. C_s s .3t t . uu.)+v v . ww.((x x . yy. n-1z z .)//3)^(a a a .2b b b .)c c c .(d d d . eee. n+2f f f .),g g g . hhh. if i i i . jjj. n=3k+1,k in N kkk. lll. mmm. n n n . ooo.2p p p .(^(q q q . rrr. n-1//3s s s .)t t t . uuu. C_v v v .3w w w . xxx.)+y y y .(^(z z z . aaaa.(b b b b . cccc. n+2d d d d .)//3e e e e .)f f f f . gggg. C_h h h h .3i i i i . jjjj.)+k k k k . llll.((m m m m . nnnn. n-1o o o o .)//3)^(p p p p .2q q q q .)r r r r .(s s s s . tttt. n+2u u u u .),v v v v . wwww. if x x x x . yyyy. n=3k+2,k in N zzzz. aaaaa. bbbbb. Independent of c c c c c . n ddddd. eeeee.

If P(AuuB)=0. 8\ a n d\ P(AnnB)=0. 3 ,\ t h e n\ P( A )+P( B )= 0. 3 b. 0. 5 c. 0. 7 d. 0. 9

In Fig.97, If A B is parallel to CD, then the value of /_B P E is (a) ( b ) (c) (d) (e) 106^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 76^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 74^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 84^(( q )0( r ))( s ) (t) (u)