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SHARAM PUBLICATION-MODEL QUESTION PAPER 19-EXERCISE
- If [[x+y,x-2],[2x-z,0]]=[[2,5],[3,1]] then the values of x,y,z.
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- Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...
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- Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...
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- If A=[[2,1],[-1,3]] B=[[2,5],[-3,2]] find AB and BA.
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- If the sum of two unit vectors is a unit vectors find the magnitude of...
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- Find a vector of magnitude 5 units and parallel to the resultant of ve...
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- Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]
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- Find the equation of the plane through the points (1, 2, -3), (2,3, -4...
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- If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...
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- If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- [[2,5],[3,4]][[3,1],[-2,3]]=[[x,y],[1,z]] find x,y and z.
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- Using properties of determinants, prove the following abs{:(a^2, bc, a...
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...
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- int(pi//6)^(pi//3)dx/(1+sqrtcotx)
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- Using integration, find the area bounded by the curve x^2 = 4y and the...
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- Solve the differential equation (x^(2)+1)(dy)/(dx)+2xy= sqrt(x^(2)+4),
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- Find a unit vector perpendicular to both of the vectors veca + vecb an...
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- Find the vector and cartesian equations of the line passing through th...
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