answer any one question : (ii) find the...

answer any one question : (ii) find the equation of the line which is perpendicular to both of the lines `x/2=y/1=z/3 and (x-3)/-1 =(y-2)/3=(z+5)/5` and passing through the point (1,2,3)

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HIGHER SECONDARY EXAMINATION 2020.
UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos
HIGHER SECONDARY QUESTION 2019
UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

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Find the cartesian equation of the line which is perpendicular to lines (x)/(2)=(y)/(1)=(z)/(3) and (x-3)/(-1)=(y-2)/(3)=(z+5)/(5) and which passes through the points (1,2,3) and hence convert it to vector form.

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Find the equation of the plane which contains the two parallel line: (x-4)/1 = (y-3)/-4=(z-2)/5 and (x-3)/1 = (y+2)/-4=z/5

Find the equation of the line passing through the intersection of (x-1)/2=(y-2)/(3)=(z-3)/4a n d(x-4)/5=(y-1)/2=zdot and also through the point (2,1,-2)dot

answer any one question : (ii) find the equation of the plane passing through the intersection of the planes 2x+y+2z=9 and 4x-5y-4z=1 and through the point (3,2,-1).

Find the equation of a line perpendicular to the line x - 2y + 3 = 0 and passing through the point (1, -2) .

The lines (x-2)/1=(y-3)/1=(z-4)/-k and (x-1)/k=(y-4)/2=(z-5)/1 are coplaner if

Find the equation of the line passing through the intersection (-1,3,-2) and perpendicular to the lines (x)/1=(y)/(2)=(z)/3a n d(x+2)/-3=(y-1)/2=(z+1)/5 dot

Find the equation of the line passing through (1,1) and parallel to the line 2x-3y+5=0.

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6) .

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE

A relation R is defined on the set of natural numbers N as follows: R=...
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answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...
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(b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...
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if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.
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answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...
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or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...
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answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx
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or, evaluate :int dx/(cos x+sqrt 3 sin x)
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answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...
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or , solve:(1-x^2) dy/dx - xy=1 .
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(d) answer any one question : (i) if three vectors vec a, vec b and ve...
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answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...
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Evaluate lim(n->oo)[1^2/(n^3+1^3) + 2^2/(n^3+2^3) +3^2/(n^3+3^3)+…+1...
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answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...
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answer any one question : (ii) if X and Y are two independent variable...
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(b)answer any two questions : (i) a circular ink blot grows at the rat...
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answer any two questions :(iii) if the straight line lx+my=n be a norm...
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answer any two questions :(iv) solve :(2x-10y^3) dy/dx+y=0 .
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answer any one question : (ii) find the equation of the line which is...
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