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x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will repr...

`x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1` will represent ellipse if r lies in the interval (a).(-`oo`,2) (b). (3,`oo`) (c). (5,`oo`) (d).(1,`oo`)

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x^2/(r^2+r-6)+y^2/(r^2-6r+5)=1 will represent the ellipse if r lies in the interval

The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) (b) (-1,\ oo) (c) (-oo,\ oo) (d) (0,\ oo)

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

If (y+3)/(2y+5)=sin^2x+2cosx+1, then the value of y lies in the interval (-oo,-8/3) (b) (-(12)/5,oo) (-8/3,-(12)/5) (d) (-8/3,oo)

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If cos^2x-(c-1)cosx+2cgeq6 for every x in R , then the true set of values of c is (a) (2,oo) (b) (4,oo) (c) (-oo,-2) (d) (-oo,-4)

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

If f(x)={x^3,if x^2 =1 then f(x) is differentiable at (a) (-oo,oo)-{1} (b) (-oo,oo)-{1,-1} (c) (-oo,oo)-{1,-1,0} (d) (-oo,oo)-{-1}

If f(x)=int_(0)^(x)log_(0.5)((2t-8)/(t-2))dt , then the interval in which f(x) is increasing is (a) (-oo,2)uu(6,oo) (b) (4,6) (c) (-oo,2)uu(4,oo) (d) (2,6)

If x in R , the numbers 2^(1+x)+2^(1-x), b//2,36^x+36^(-x) form an A.P., then b may lie in the interval [12 ,oo) b. [6,oo) c. (-oo,6] d. [6, 12]

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  3. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

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