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If 0 lt x lt pi/2 then solve cot^2x-(sq...

If ` 0 lt x lt pi/2` then solve `cot^2x-(sqrt3+1)cotx+sqrt3=0`

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SRISIRI PUBLICATION-IPE:MAT-2019(AP)-IPE:MAY-2019(AP) (MATHS-1A)
  1. IF A=[{:(2,-4),(-5,3):}] the find A+A' and AA'.

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  2. Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

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  3. IF the position vectors of the points A,B,C are -2overlinei+overlinej-...

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  4. Find the vector equation of the plane passing through the points bar(i...

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  5. overlinea=2overlinei-overlinej+overlinek,overlineb=overlinei-3overline...

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  6. Sketch the graph of sin 2x in the intervals (0,pi).

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  7. P.T (i) sin^2 52""1^@/2-sin^2 22""1^@/2=(sqrt3+1)/(4sqrt2) sin^2 52""1...

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  8. If sinhx=3" then show that "x=log(3+sqrt10)

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  9. Show that the four points -overlinea+4overlineb-3overlinec,3overlinea+...

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  10. IF overlinea+overlineb+overlinec=overline0,|overlinea|=3|overlineb|=5a...

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  11. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  12. If 0 lt x lt pi/2 then solve cot^2x-(sqrt3+1)cotx+sqrt3=0

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  13. P.T Tan^-1""1/7+Tan^-1""1/13-Tan^-1""2/9=0

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  14. Prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2...

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  15. If f:ArarrB,g:BrarrC are two bijective functions then P.T ("gof")^(-1)...

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  16. Using Mathematical Induction , prove that statement for all n inN ...

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  17. Solve |{:(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64):}|=0

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  18. Apply the test of rank to examine whether the equations x+y+z=6,x-y+z=...

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  19. Fo any four vectors overlinea,overlineb,overlinec and overlined, prove...

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  20. In DeltaABC,(r1+r2)sec^2""C/2=

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