The value of expression `(2sin^2 91^0-1)(2sin^2 92^0-1)(2sin^2 180^0-1)` is equal to 0 (b) `1` (c) `2^(90)` (d) `2^(90)-90`
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Find all the possible the value of the following expression`dot` `sqrt(x^2-4)` (ii) `sqrt(9-x^2)` (iii) `sqrt(x^2-2x+10)`
`sqrt(x^2-4)` Least value of square root is 0 when `x^2=4 of x= pm 2 " Also " x^2-4 ge 0 ` Hence `sqrt(x^2-4)in [ 0 oo).` (ii) `sqrt(9-x^2)` Least value...
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The value of the expression `sin^(-1)(sin(22pi)/7)cos^(-1)(cos(5pi)/3)+tan^(-1)(tan(5pi)/7)+sin^(-1)(cos2)` is `(17pi)/(42)-2` (b) `-2` `(-pi)/(21)-2`
Correct Answer - A `sin^(-1) sin((22pi)/(7)) = sin^(-1) sin(3pi + (pi)/(7)) = - (pi)/(7)` `cos^(-1) cos ((5pi)/(3)) = cos^(-1) cos (2pi - (pi)/(3)) = (pi)/(3)` `tan^(-1) tan ((5pi)/(7)) = tan^(-1) tan(pi...
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Equation `1+x^2+2x"sin"(cos^(-1)y)=0` is satisfied by exactly one value of `x` exactly two value of `x` exactly one value of `y` exactly two value of
Correct Answer - A::C Given equation is `x^(2) + 2x sin(cos^(-1) y) + 1 =0` Since x is real, `D ge 0`. Therefore, `4(sin(cos^(-1)y))^(2) -4 ge 0` or `(sin(cos^(-1)y))^(2) ge 1`...
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MAX ( ) function returns ? A. Highest value B. Lowest value C. Negative value D. Positive value
Correct option is: A. Highest value
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MIN ( ) function returns ? A. Highest value B. Lowest value C. Negative value D. Positive value
Correct option is: B. Lowest value
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If z is a complex number satisfying the equation `z^6 +z^3 + 1 = 0`. If this equation has a root `re^(itheta)` with `90^@<0<180^@` then the value of `
Correct Answer - C `(c )` Given equation is `Z^(6)+Z^(3)+1=0` Let `Z^(3)=t` Hence, equation becomes `t^(2)+t+1=0` `implies t=omega` or `omega^(2)` `:. Z^(3)=cos"(2pi)/(3)+isin"(2pi)/(3)=e^((2npi+(2pi)/(3))i)` `:. Z=e^(((2npi+(2pi)/(3)))/(3)i)` Putting `n=1`, we get `theta=(8pi)/(9)(=160^(@)) in (90^(@),180^(@))`
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If either of the two `P`, `Q` and `R` are equal and `P+Q+R=180^(@)`, then the value of `|{:(1, 1+sinP,sinP(1+sinP)),(1,1+sinQ,sinQ(1+sinQ)),(1,1+sinR,
Correct Answer - A `(a)` Applying `C_(2)toC_(2)-C_(1)` and then `C_(3)toC_(3)-C_(2)` `Delta=|{:(1,sinP,sin^(2)P),(1,sinQ,sin^(2)Q),(1,sinR,sin^(2)Q):}|=(sinP-sinQ)(sinQ-sinP)` `(sinR-sinP)` `impliesDelta=0`
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If the value of ``prod_(k=1)^(50)[{:(1,2k-1),(0,1):}]` is equal to `[{:(1,r),(0,1):}]` then `r` is equal to
Correct Answer - B `(b)` `[{:(1,1),(0,1):}][{:(1,3),(0,1):}]=[{:(1,4),(0,1):}]` `[{:(1,4),(0,1):}][{:(1,5),(0,1):}]=[{:(1,9),(0,1):}]` `[{:(1,9),(0,1):}][{:(1,7),(0,1):}]=[{:(1,16),(0,1):}]` If `n` is no. of matrices that are multiplied, then product is `[{:(1,n^(2)),(0,1):}]` `:.r=2500`
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With a potentiometer, null points were obtained at 140 cm and 180 cm with cells of emf 1.1 volt and one of unknown value respectively. Calculate the u
Correct Answer - 1.41V
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7) For the same curvature focal length of concave and convex mirror are........ a)equal b) un equal c)equal but opposite d) un eq
The magnitude of the focal length are the same. But the focal length of concave is positive and the concave focal length is negative. The positive and negative sign are...
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