If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots \ldots \ldots . .+...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=lliBrY1-2ew


Duration: 0:00
59 views
0

If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots \ldots \ldots . .+C_{n} x^{n} \), prove that
\( \mathrm{P} \)
\[
C_{0} C_{r}+C_{1} C_{r+1}+\ldots \ldots \ldots .+C_{n-r} C_{n}=\frac{(2 n) !}{(n+r) !(n-r) !}
\]
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/



Other Videos By PW Solutions


2023-02-25From an external point \( P \), pair of tangent lines are drawn to ...
2023-02-25If \( r_{1}, r_{2} \) be the length of the perpendicular chords of ...
2023-02-25Find the points of intersection of the curves whose parametric equa...
2023-02-25Find the equation of the circle which passes through the point \( (...
2023-02-25Equation of the circle cutting orthogonally the three circles \( x^...
2023-02-25Equation of a circle drawn on the chord \( x \cos \alpha+y \sin \al...
2023-02-25The locus of the point of intersection of the tangents to the circl...
2023-02-25The locus of the centre of the circle which bisects the circumferen...
2023-02-25If the length of a common internal tangent to two circles is 7 , an...
2023-02-25Number of common tangents of the circles \( (x+2)^{2}+(y-2)^{2}=49 ...
2023-02-25If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots \ldots \ldots . .+...
2023-02-25The equation of the common tangent to the circle \( x^{2}+y^{2}-4 x...
2023-02-25If \( C_{0}, C_{1}, C_{2}, \ldots C_{n} \) are the binomial coeffic...
2023-02-25The locus of the centers of the circles such that the point \( (2,3...
2023-02-25Which of the following are true. \( \mathrm{P} \) (A) \( \cos x+{ }...
2023-02-25A point \( A(2,1) \) is outside the circle \( x^{2}+y^{2}+2 g x+2 f...
2023-02-25The equation of the diameter of the circle \( (x-2)^{2}+(y+1)^{2}=1...
2023-02-25Find the coefficient of \( a^{5} b^{4} c^{7} \) in the expansion of...
2023-02-25Find the coefficient of \( x^{7} \) in \( \left(1-2 x+x^{3}\right)^...
2023-02-25The line \( 3 x+5 y+9=0 \) w.r.t. the circle \( x^{2}+y^{2}-4 x+6 y...
2023-02-25Which is larger : \( \left(99^{50}+100^{50}\right) \) or \( (101)^{...