Master of Mathematics

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B.Sc. Mathematics;CBSE NCERT MûATH SOLUTION औरCOMPTITION EXAM की तैयारी के लिए देखे।क़ुरान के वैगयानिक चमत्कार( scientific miracle ) Promotion of Islam

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Find the envelope of the family of the curves x^2cos^2α+y^2sin^2α=a^2-b^2, where α is the paramete

A cylinder rolls without slipping on a horizontal surface and then moves up along a 30° incline, mov

Prove that the condition that the plane ux+vy+wz=0 may cuts rhe cone ax^2+by^2+cz^2=0 in perpendicu

Solve the differential equation by removing the first derivative d^2ydx^2-4xdydx+(4x^2-3)y=e^x^2

Find the Cartesian equation of curve x=acos^3t , y=bsin^3t (in parametric form)

Compute the nxn determinant 3 2 0... 0,1 3 1...,0 2 3 2 0...0...,23

To prove drds=cosϕ , dsdr=√1+(rdθdr)

Wa Akhiridawana Anilhamdulillahi rubbulalmeen वा आखिरिदवाना अल्हम्दुलिल्लाहि रब्बिल आलमीन

Prove that the homogeneous equation of of second degree ax^2+2hxy+by^2=0 represents a pair of straig

(x+y)^3+(x-y)^3 UPPCS-2024 General studies II

If tanθ=tanhxcoty and tanϕ=tanhxtany , prove that sin2θsin2ϕ=(cosh2x+cos2y)(cosh2x-cos2y)

Show that the vector field F defined by F=(siny+z)i+(xcosy-z)j+(x-y)k is conservative and find ϕ if

शुतुरमुर्ग के बारे में Ostrich

Prove that the three points whose position vectors are -2a+3b+5c,a+2b+3c,7a-c are collinear

Forces P,Q act at O and have a resultant R.If any transversal cuts their lines of action at A,B,C re

If axb=cxd and axc=bxd , show that a-d is parallel to b-c.

ABCD is a parallelogram and P the point of intersection of the diagonals;O is any point.Show that OA

Show that (a-b)x(a+b)=2axb. all vectors

Triangle Law of Addition of two vectors

Prove that ax(b+c)+bx(c+a)+cx(a+b)

Jazakallah fiddrain जजाकल्लाह फिदारैन का मतलब क्या होता है

G का उपग्रुप N एक विशिष्ट उपग्रुप होगा यदि केवल यदि gNg-1=N ,g अवयव है G

If f=xy^2i+2x^2yzj-6yz^2k,then (a) divf,and (b) curl f at the point (1,-1,1).

Show that curl(r^nr)=0

Trace 17x^2-12xy+8y^2+46x-28y+17=0

ABCDEF is a regular hexagon express the vectors AC AD AE AF in terms of the AB and BC.(all vectors)

Reduce tan-1(cosθ+sinθ) to the form a+ib hence show that tan-1(e^iθ)=nπ2+π4+i2logtan(π4+θ2).

To prove d^2rdt^2+r=0 (all vectors) If a ,b be constant vectors w is a constant and r is vector

If A=[3 1; -1 2] express 2A^5-3A^4-A^2-4I as a linear polynomial in A.

Evaluate ∫F.dr, where F=(x-3y)i+(y-2x)j and C is the closed curve in the xy-plane,x=2cost,y=3sint