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  1. Nikesh

    Mathematics: Post your doubts here!

    Solution --> Substitute value of y= x + k in equation y = 9/2-x --> You will get a new equation in the form ax2 + bx + c --> Since question says intersection is at 2 distinct points, its discriminant i.e. b^2 - 4ac > 0 use this and generate a equation involving k --> you will get (k + 8)(k -4) >...
  2. Nikesh

    Chemistry: Post your doubts here!

    oh...no problem whatever the order be concept is same(y)
  3. Nikesh

    Mathematics: Post your doubts here!

    LHS. tanA + cotA --> sinA/cosA + cosA/sinA --> (sin^2A + cos^2A) / (cosA.sinA) --> 1/sinA.cosA Multiply numerator and denominator by 2 --> 2/2sinA.cosA -->2/sin2A (sin2A = 2sinAcosA) hence proved
  4. Nikesh

    Chemistry: Post your doubts here!

    wat does variant in this case refer to??
  5. Nikesh

    Chemistry: Post your doubts here!

    option 2 and 3 are correct as compound with molecular mass 88 can be formed using given conditions 1 is omitted because saturated refers to double and triple bonds both, however molecular mass of 88 could be obtained using double bonds but using triple bonds its never possible as carbon numbers...
  6. Nikesh

    Chemistry: Post your doubts here!

    19)--> its A because C and D are automatically out as they both do not represent cyanate now in Ammonium cyanate charge of NH4 is 1 which means that charge on CNO must be -1. 20) D because Carbon atoms connect to CH3 (there are two such Carbon atoms) and to OH also posses chiral center as they...
  7. Nikesh

    Mathematics: Post your doubts here!

    Substitute the value of y in the given equation of curve and you will get a new equation in the form of ax^2 + bx + c = 0 if not change the equation to this form. And question says that the line cuts exactly once that means the discriminant of the equation is equal to 0. i.e. b^2 - 4ac = 0 use...
  8. Nikesh

    Physics: Post your doubts here!

    So my revision has cleared all your doubts :)
  9. Nikesh

    Physics: Post your doubts here!

    you r welcome.... actually thanks sud be given to you you made me revise this topic lolz.....(y)
  10. Nikesh

    Mathematics: Post your doubts here!

    It is because the shaded region is above the curve and if you try to find the volume directly by integrating square of given equation about x-axis it gives the volume of substance formed when the area bounded by the curve and x-axis (which is below the curve) is rotated about x-axis. So first...
  11. Nikesh

    Mathematics: Post your doubts here!

    Q5 needs more time to think so i wait for other's response Q6. Given that -->xy(x + y) = 2a^3 --> use derivative on both sides --> d [xy(x + y)]/dx = d 2a^3/dx --> use product rule --> (x + y) dxy/dx + (xy) d(x +y)/dx = 0 (it is because 2a^3 is a constant so its derivative is 0)...........(3)...
  12. Nikesh

    Mathematics: Post your doubts here!

    for ii) u are given two values of x keep them in the given equation (i.e. y = e^2x +x -2 ) and check the result i.e. value of y if you get results with different signs i.e. positive and negative numbers or lets say if your two values are 1) > 0, 2) < 0 then the root lies between given two...
  13. Nikesh

    Physics: Post your doubts here!

    it there is not given the graph of displacement against time but its given against distance along string i.e. here u will find wavelength instead of time period (T) it is said that for a time 0.25T, Since Time period and wavelength are identical in graphical representation u can compare it with...
  14. Nikesh

    Mathematics: Post your doubts here!

    i think in this case the domain of f(x) has clearly mentioned that there is not inclusion of negative numbers of x so in inverse to there won't be any negative sign, only √x is accepted m not pretty much sure about this.....
  15. Nikesh

    Mathematics: Post your doubts here!

    i didn't get ur problem will u please elaborate ur problem
  16. Nikesh

    Chemistry: Post your doubts here!

    the answer is B because its 2nd degree alcohol which gives ketone when oxidised by potassium dichromate
  17. Nikesh

    Mathematics: Post your doubts here!

    if the given equation is too complex then change it to simple form as in complete square form and when ur simplified equation turns to be like f(x) = -√2x then ur f-1 (x) will be in the following way f-1: x ----> divide by 2 -----> square ----> multiply by positive sign i.e. f-1(x) = (x/2)^2...
  18. Nikesh

    Physics: Post your doubts here!

    Using light gates in the hole of a wall.....electronic counter will also be required to increase the number, when any mouse crosses that light gate, counter will increase the display number....
  19. Nikesh

    Mathematics: Post your doubts here!

    you have h: x → x2 − 6x, change to complete square form which will be, h(x) = x^2 - 6x ---->= x^2 - 2.x.3 + 3^2 - 3^2 ---->=(x-3)^2 - 9 note how is it formed?? h:x --> subtract 3 ---> square ----> subtract 9 now its inverse will be jus opposite h-1: x ---> add 9 ----> square root -----> add 3...
  20. Nikesh

    Physics: Post your doubts here!

    will u please specify the question number...?
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