In the figures shown, match the following

`|{:(,"Table-1",,"Table-2"),((A),x=2h", " y=h,(P),R=2sqrt(3)h),((B),x=h", " y=3h,(Q),R=2sqrt(2) h),((C),x=3h", "y=h,(R),R=2h):}|`

The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30^(@) and 45^(@) . If h_(T) is the height of the tower and h_(P) is the height of the pole, then which of the following are correct? 1. (2h_(P)h_(T))/(3+sqrt(3))=h_(P)^(2) " " 2. (h_(T)-h_(P))/(sqrt(3)+1)=(h_(P))/(2) 3. (2(h_(P)+h_(T)))/(h_(P))=4+sqrt(3) Select the correct answer using the code given below.

If A is the area an equilateral triangle of height h , then (a) A=sqrt(3)\ h^2 (b) sqrt(3)A=h (c) sqrt(3)A=h^2 (d) 3A=h^2

If A is the area an equilateral triangle of height h , then (a) A=sqrt(3)\ h^2 (b) sqrt(3)A=h (c) sqrt(3)A=h^2 (d) 3A=h^2

If f_(r)(x), g_(r)(x), h_(r) (x), r=1, 2, 3 are polynomials in x such that f_(r)(a) = g_(r)(a) = h_(r) (a), r=1, 2, 3 and " "F(x) =|{:(f_(1)(x)" "f_(2)(x)" "f_(3)(x)),(g_(1)(x)" "g_(2)(x)" "g_(3)(x)),(h_(1)(x)" "h_(2)(x)" "h_(3)(x)):}| then F'(x) at x = a is ..... .

If f_(r)(x), g_(r)(x), h_(r) (x), r=1, 2, 3 are polynomials in x such that f_(r)(a) = g_(r)(a) = h_(r) (a), r=1, 2, 3 and " "F(x) =|{:(f_(1)(x)" "f_(2)(x)" "f_(3)(x)),(g_(1)(x)" "g_(2)(x)" "g_(3)(x)),(h_(1)(x)" "h_(2)(x)" "h_(3)(x)):}| then F'(x) at x = a is ..... .

If r is the radius and h is height of the cylinder the volume will be (1)/(3)pi^(2)h(b)pi r^(2)h(c)2 pi r(h+r)(d)2 pi rh

If r is the radius and h is height of the cylinder the volume will be (a) 1/3pi^2h (b) pir^2h (c) 2pir\ (h+r) (d) 2pir h

If 2r=h+sqrt(r^(2)+h^(2)) the value of r:h is (r,h!=0)