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ALLEN-TEST PAPERS-part-2 Mathematics
- Number of necklaces can be formed with 4 identical beads and two disti...
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- f(n)=sum(r=1)^(n) [r^(2)(""^(n)C(r)-""^(n)C(r-1))+(2r+1)(""^(n)C(r ))]...
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- Area formed between lines y = nx +(1)/(n), y = -(1)/(n)x-n(n epsilon I...
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- x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)4x+4y+7=0 are equation of excircl...
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- n' similar balls each of weight w, are weighted in pairs. The sum of t...
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- A number is chosen at random from the number 10to99. By seeing the num...
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- If the circle C(1) touches x-axis and the line y=xtantheta(tanthetagt...
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- M is the mid-point of a line segment AB. AXB and MYB are equilateral ...
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- Show that the points (a,a),(−a,−a) and (− 3a, 3a ) are the vertices ...
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- Prove that the points A(1,−3),B(−3,0) and C(4,1) are the vertices of a...
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- Find the principal solution of the following equation: sinx= √3/2
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- If sinθ= a/√(a^2+b^2) , 0<θ<90 , find the values of cosθ and t...
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- If 2cosx+sinx=1, then the sum of the values of 7cosx+6sinx is
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- Let 2(1+x^(3))^(100)=sum(r=0)^(300) {a(r)x^(r)-cos.(rpi)/(2)},"if"sum(...
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- Let N=alphaalphaalphaalphaalphaalpha be a 6 digit number (all digit re...
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- If tan(cotx)=cot(tanx) , then sin2x is equal to
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- If the papers of 4 students randomly distributed for checking among 7 ...
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- If alpha,beta are the roots of the equation x^(2)+4x+p=0, where =Sigma...
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