If `x : y=1:1,\ t h e n\ (3x+4y)/(5x+6y)=`
(a) `7/(11)`
(b) `(17)/(11)`
(c) `(17)/(23)`
(d) `4/5`

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo) (b) (1,(11)/7) (1,7/3) (d) (1,7/5)

Multiply: (-2)/9b y5/(11) (ii) (-3)/(17)b y(-5)/(-4)

If x^3-2x^2y^2+5x+y-5=0 and y(1)=1 , then (a) y^(prime)(1)=4/3 (b) y'(1)=-4/3 (c) y''(1)=-8(22)/(27) (d) y^(prime)(1)=2/3

The point of intersection of tangent to the curve y=x^4 at (1,1) with the normal to the same curve at (-1,1) is (A) ((17)/(15),(13)/(15)) (B) (7/5,3/5) (C) ((17)/(15),(23)/(15)) (D) does not exist

If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is equal to (a) y (b) y+(x^n)/(n !) (c) y-(x^n)/(n !) (d) y-1-(x^n)/(n !)

Pole of 3x+5y+17=0 w.r.t the circle x^(2)+y^(2)+4x+6y+9=0 is a) (-1,2) b) (1,2) c)(1,2) d) (2,1)

Multiply: (i) (-2)/9b y5/(11) (ii) (-3)/(17)b y(-5)/(-4)

the image of the point (-1,3,4) in the plane x-2y=0 a. (-(17)/(3),(19)/(3),4) b.(15,11,4) c. (-(17)/(3),(19)/(3),1) d. ((9)/(5),-(13)/(5),4)

The term independent of x in the product (4 + x + 7x^2)(x-3/x)^11 is (a) 7*"^(11)C_(6) (b) (3)^6*"^(11)C_(6) (c) 3^(5)*"^(11)C_(5) (d) -12*2^(11)

Are the following pair of linear equations consistent ? Justify your answer. (i) -3x - 4y = 12 and 4y + 3x = 12 (ii) (3)/(5)x - y = (1)/(2) and (1)/(5) x - 3y = (1)/(6) (iii) 2ax + by = a and 4ax + 2by - 2a = 0, a, b != 0 (iv) x + 3y = 11 and 2(2x + 6y) = 22