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Recent questions tagged q20
Questions
If sum of the perpendicular distances of a variable point $P (x, y)$ from the lines $ x + y – 5 = 0$ and $3x – 2y +7 = 0$ is always 10. Show that $ P$ must move on a line
cbse
class11
ch10
straight-lines
bookproblem
misc
sec-c
q20
difficult
asked
May 22, 2014
by
thanvigandhi_1
1
answer
In a polygon no three diagonals are concurrent.If the total number of points of intersection of diagonals interior to the polygon be 70,then the number of diagonals of the polygon is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q20
sec-c
difficult
asked
May 20, 2014
by
sreemathi.v
1
answer
A convex polygon has 44 diagonals.Find the number of its sides
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q20
sec-b
medium
asked
May 15, 2014
by
sreemathi.v
1
answer
Prove that for all $n \in N$ \[\] $\cos \alpha+ \cos ( \alpha + \beta ) + \cos ( \alpha + 2 \beta )+...+ \cos ( \alpha + (n-1) \beta )$ \[\] $ = \large\frac{ \cos \bigg( \alpha + \bigg( \Large\frac{n-1}{2} \bigg) \beta \bigg) \sin \bigg( \Large\frac{n \beta}{2} \bigg)}{\sin \Large\frac{\beta}{2}}$ by using principle of mathematical induction.
cbse
class11
ch4
mathematical-induction
exemplar
q20
asked
May 6, 2014
by
thanvigandhi_1
0
answers
Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ 10^{2n-1}+1$ is divisible by 11.
cbse
class11
ch4
mathematical-induction
bookproblem
sec3
exercise-4.1
q20
asked
May 1, 2014
by
thanvigandhi_1
1
answer
If $\sin(\theta+\alpha)=a$ and $\sin(\theta+\beta)=b$,then prove that $\cos 2(\alpha-\beta)-4ab\cos(\alpha-\beta)=1-2a^2-2b^2$
cbse
math
class11
ch3
trigonometric-functions
exemplar
q20
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
Prove $\large\frac{\sin x-\sin 3x}{\sin^2x-\cos^2x}$$=2\sin x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q20
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $\large\frac{a+b \sin x}{c+d \cos x}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q20
asked
Apr 14, 2014
by
thanvigandhi_1
1
answer
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