Dimentional Three Analysis(3D)B.Sc. (B.Sc notes)
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Dimentional Three Analysis(3D)B.Sc. (B.Sc notes)
1
Prove that the radius of circular section ellipsoid at a distance p from the centre is b√1-(pb/ac)^2
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2
Hazrat Muhammad صلى الله عليه وسلم Ka Bachpan - Part 2 - Sayyad Aminul Qadri
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3
Show that the lines (x+1)/-3=(y-3)/=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 intersect.Find coordinates of p
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4
Find the equation to the plane which contains the line (x-1)/2=(y+1)/-1=(z-3)/4 and is perpendicular
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5
Show that the lines (x-2)/2=y/1=(z+2)/2 and (x-6)/3=(y-2)/2=(z-2)/4 are coplanar. ||Top mathematics
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6
Find the equation to the plane through the line x-2/2=y-3/3=z-4/5 and parallrl to the x-axis.
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7
Find the equation of the sphere which passing through the point (2,3,4)and the circle z=0,x^2+z^2=4.
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8
Find the equation of the cone whose vertex is (1,1,0)and the guiding curve is y=0,x^2+z^2=4.
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9
Two spheres of radii r1 and r2 cut orthogonally.Prove that the radius of the comm r1r2/√(e1^2+r2^2)
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10
To find the condition that the plane lx+my+nz=p may touch the conicoid ax^2+by^2+cz^2=1
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11
Any wrench may be resolved into two wrenches ,whose axes intersect at right angles,in an infinite no
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12
Find the shortest distance between two skew lines
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13
If the plane ax+by+cz=0 cuts the cone xy+yz+zx=0 in perpendicular lines then find the condition.
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14
If the plane ax+12y-6z=17 touches the conicoid 3x^2-6y2+9z^2+17=0,then find the value of 'a.'
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15
A tangent plane to the ellipsoid x^2/a^2+y^2/b^2+z^2/c^2=1 meetd the coordinate axes in points A,B,C
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16
Find the image of the point (3,5,7) in the plane 2x+y+z=6.
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17
If plane 2x-2y+z=9 touches the sphere x^2+y^2+z^2=r^2 then, find the value of r.
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18
The generators of the cylinder y^2+z^2=4 are straight lines,parallel to: (i)y-axis (ii)x-axis(iii)z-
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19
The equation of cone reciprocal to ax^2+by^2+cz^2=0 is x^2/a+y^2/b+z^2/c=0
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20
Tanh(x+iy);Separate real and imaginary parts of tanh(x+iy).
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21
Angle between two planes in vector form
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22
Find the necessary and sufficient condition that the cone has set of three mutually perpendicular ge
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23
Find the condition that plane ax+by+cz+d=0 touches the sphere x^2+y^2+z^2+2ux+2vy+2wz+d1=0.
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24
Prove that the lines x-1/2=y-2/3=z-3/4;x-2/3=y-3/4=z-4/5 are coplanar,find their point of intersect
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25
Find the shortest distance between two skew lines given by x-α/l=y-β/=z-/n and x-α1/l1=y-β/m1=z-/n1.
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26
Find the conditions that the line x-α/l=y-β/m=z-γ/n,may lie in the plane ax+by+cz+d=0
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27
Explanation of Shab-e-miraj and Isra on basis on special theory of relativity
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28
Reduce the equation x^2+4y^2+z^2-4yz+2zx-4xy-2x+4y-2z-3=0 to normal form ||Top Mathematics channel |
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29
Find the shortest distance between the lines (x-3)/3=(y-8)/-1=(z-3)/1and (x+3)/-3=(y+7)/2=(z-6)/4
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30
Find the angle between the lines x-2y+z=0=x+y-z and x+2y+z=0=8x+12y+5z.
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31
Find the centre and radius of circle x^2+y^2+z^2-8x+4y+8z-45=0,x-2y+2z=3.
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32
Find the equation to right circular cylinder whose axis x=2y=-z and radius is 4.Prove that the area
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33
Find the equation of the right circular cylinder of radius 5 whose axis passing through (1,2,3) and
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34
Find the equation of the sphere which touches the plane 3x+2y-z+2=0 at the point (0,-2,1) and also c
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35
Find the condition that the plane lx+my+nz=p is a tangent plane to the sphere x^2+y^2+z^2=a^2.
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36
Prove that the lines x-1/2=y-2/3=z-3/4 and 4x-3y+1=0=5x-3y+2 are coplanar.Three dimensional (3D).
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37
Find equation of the plane through line x+1/2=y+2/3=z+3/4 perpendicular to the plane x-2y+3z-4=0.
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38
Find equation of plane passing point (2,-1,4) and perpendicular to join of (1,-2,5) and (2,1,3).
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39
Doubt cleared :https://youtu.be/yYVCo0otSZs?si=zNsistTcd_t4HprI
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40
Prove that the tangent plane to the cone fyz+gzx+hxy=0 are perpendicular to the generators of
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41
Find the equation of the normal to the paraboloid x^2+2y^2=3z at the point (1,1,1).
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42
Find the equation to the plane through the line (x-2)/2=(y-3)/3=(z-4)/5 and parallrl to the x-axis.
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