Maths-
General
Easy

Question

If the tangent at any point of the curve square root of x plus square root of y equals square root of a meets the co-ordinate axes at A and B then OA + OB =

  1. 2square root of a    
  2. square root of a    
  3. a    
  4. 2 a    

The correct answer is: a

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The plane 2x -2y + z + 12 = 0 touches the sphere x2 + y2 + z2 – 2x – 4y + 2z – 3 = 0 at the point

The plane 2x -2y + z + 12 = 0 touches the sphere x2 + y2 + z2 – 2x – 4y + 2z – 3 = 0 at the point

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stack lim with x rightwards arrow 0 below invisible function application fraction numerator open parentheses a b close parentheses to the power of x end exponent minus a to the power of x end exponent minus b to the power of x end exponent plus 1 over denominator x to the power of 2 end exponent end fraction equals

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stack lim with x rightwards arrow infinity below invisible function application fraction numerator x over denominator square root of 4 x to the power of 2 end exponent plus 1 minus 1 end root end fraction equals

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The IUPAC name 'of is:

The IUPAC name 'of is:

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The IUPAC name of the compound
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Which one of the following is the heterocyclic compound?

Which one of the following is the heterocyclic compound?

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(A) If two compounds have the same empirical formula but different molecular formula, they have same vapour density.
(R) g/mL is the unit of vapour density.

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(R) g/mL is the unit of vapour density.

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The desiccants used for absorbing water during Liebig's method for estimation of carbon and hydrogen are:

The desiccants used for absorbing water during Liebig's method for estimation of carbon and hydrogen are:

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Formula which represents a simple ratio of atoms of different elements present in a molecule of the substance is called:

Formula which represents a simple ratio of atoms of different elements present in a molecule of the substance is called:

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stack lim with n rightwards arrow infinity below invisible function application fraction numerator 1 plus 3 plus 5 plus. blank horizontal ellipsis. plus open parentheses 2 n minus 1 close parentheses over denominator 2 plus 4 plus 6 plus. blank. blank.. plus 2 n end fraction equals

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stack lim with x rightwards arrow 0 below invisible function application fraction numerator e to the power of 2 x end exponent minus 1 over denominator 3 x end fraction equals

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stack lim with x rightwards arrow fraction numerator pi over denominator 6 end fraction below invisible function application fraction numerator s i n open parentheses x minus fraction numerator pi over denominator 6 end fraction close parentheses over denominator fraction numerator square root of 3 over denominator 2 end fraction minus c o s x end fraction equals

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If a sphere of constant radius k passes through the origin and meets the axis in A, B, C then the centroid of the triangle ABC lies on

Hence option 2 is correct

If a sphere of constant radius k passes through the origin and meets the axis in A, B, C then the centroid of the triangle ABC lies on

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Hence option 2 is correct

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The equation of the sphere circumscribing the tetrahedron whose faces are x = 0, y = 0, z = 0 and fraction numerator x over denominator a end fraction plus fraction numerator y over denominator b end fraction plus fraction numerator z over denominator c end fraction equals 1 comma is equal to

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