If 2 * 3 = `sqrt(13)` and 3 * 4 = 5, then the value of 5 * 12 is `sqrt(17)` (b) `sqrt(29)` (c) 12 (d) 13

If 5cosx+12cosy=13 , then the maximum value of 5sinx+12siny is (A) 12 (B) sqrt(120) (C) sqrt(20) (D) 13

If 5cos x+12cos y=13, then the maximum value of 5sin x+12sin y is (A)12(B)sqrt(120) (C) sqrt(20)(D)13

If we consider only the principal values of the inverse trigonometric functions , then the value of tan(cos^-1 (1/(5sqrt2)) -sin^-1 (4/sqrt(17))) is (a) sqrt(29)/3 (b) 29/3 (c) sqrt3/29 (d) 3/29

If we consider only the principal values of the inverse trigonometric functions , then the value of tan(cos^-1 (1/(5sqrt2)) -sin^-1 (4/sqrt(17))) is (a) sqrt(29)/3 (b) 29/3 (c) sqrt3/29 (d) 3/29

(1) sqrt(13-x sqrt(10))=sqrt(8)+sqrt(5) then find the value of x,(2) find sqrt(7+4sqrt(3))

If vec a and vec b are any two vectors of magnitudes 2 and 3, respectively, such that |2( vec axx vec b)|+|3( vec a. vec b)|=k , then the maximum value of k is a. sqrt(13) b. 2sqrt(13) c. 6sqrt(13) d. 10sqrt(13)

If vec a and vec b are any two vectors of magnitudes 2 and 3, respectively, such that |2( vec axx vec b)|+|3( vec a. vec b)|=k , then the maximum value of k is a. sqrt(13) b. 2sqrt(13) c. 6sqrt(13) d. 10sqrt(13)

If we consider only the principal values then the value inverse trigonometric functions then the value of (cos^-1(1/(5sqrt2) (-sin^-1)4/sqrt(17)) is (a) sqrt(29)/3 (b) 29/3 (c) sqrt3/29 (d) 3/29