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Prove that the points A(1,−3),B(−3,0) an...

Prove that the points `A(1,−3),B(−3,0) and C(4,1) `are the vertices of a right angled Isosceles triangle

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ALLEN-TEST PAPERS-part-2 Mathematics
  1. Number of necklaces can be formed with 4 identical beads and two disti...

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  2. f(n)=sum(r=1)^(n) [r^(2)(""^(n)C(r)-""^(n)C(r-1))+(2r+1)(""^(n)C(r ))]...

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  3. Area formed between lines y = nx +(1)/(n), y = -(1)/(n)x-n(n epsilon I...

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  4. 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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  5. n' similar balls each of weight w, are weighted in pairs. The sum of t...

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  6. A number is chosen at random from the number 10to99. By seeing the num...

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  7. If the circle C(1) touches x-axis and the line y=xtantheta(tanthetagt...

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  8. M is the mid-point of a line segment AB. AXB and MYB are equilateral ...

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  9. Show that the points (a,a),(−a,−a) and (− 3a​, 3a ) are the vertices ...

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  10. Prove that the points A(1,−3),B(−3,0) and C(4,1) are the vertices of a...

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  11. Find the principal solution of the following equation: sinx= √3/2

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  12. If sinθ= a/√(a^2+b^2) , 0<θ<90 , find the values of cosθ and t...

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  13. If 2cosx+sinx=1, then the sum of the values of 7cosx+6sinx is

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  14. Let 2(1+x^(3))^(100)=sum(r=0)^(300) {a(r)x^(r)-cos.(rpi)/(2)},"if"sum(...

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  15. Let N=alphaalphaalphaalphaalphaalpha be a 6 digit number (all digit re...

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  16. If tan(cotx)=cot(tanx) , then sin2x is equal to

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  17. If the papers of 4 students randomly distributed for checking among 7 ...

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  18. If alpha,beta are the roots of the equation x^(2)+4x+p=0, where =Sigma...

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