User SmarthBansal

6 votes

4 answers

1k views

What is the value of $\sin 1 ^\circ \sin3^\circ\sin5^\circ \sin 7^\circ \sin 9^\circ \cdots \sin 179^\circ $?

asked May 4, 2018 at 15:56

5 votes

2 answers

856 views

If the complex number Z satisfies $ |Z^2 - 9| + |Z^2| = 41 $ then the true statements among the following are?

asked Apr 30, 2018 at 15:03

4 votes

1 answer

657 views

If $aZ^2 + bZ + 1 = 0$ and $|a|=0.5$. What is the value of $|ab' - b|$?

asked Apr 30, 2018 at 16:52

4 votes

5 answers

114 views

For rotation matrix $A$, find $B = A^4- A^3 + A^2 - A$

asked Apr 16, 2018 at 19:46

4 votes

3 answers

5k views

> Let $X$, $Y$, and $Z$ be three independent uniform random variables on $[0, 1]$. What is $P(XY < Z^2)$?

asked Sep 29, 2019 at 10:13

3 votes

2 answers

120 views

Solving for $k$ in $\cos \frac{\pi}k - \cos \frac{2\pi}k = P$

asked Apr 11, 2018 at 18:45

2 votes

2 answers

174 views

What is the image of P in BC?

asked Apr 3, 2018 at 13:59

2 votes

2 answers

1k views

For how many $k$ do the lines $3x-2y-12=0$ and $x+ky+3=0$ meet the coordinate axes in four concyclic points?

asked Apr 2, 2018 at 12:33

2 votes

2 answers

388 views

In a triangle ABC if $B-C = \frac\pi 4$ and .......... What will be the value of $\frac {a+b+c}{a}$

asked May 4, 2018 at 14:19

2 votes

2 answers

128 views

Why isn't $\lim_{x \to 0^+} x \left[ \frac px \right] = 0$?

asked May 8, 2018 at 18:22

1 vote

1 answer

324 views

If $a,b,c$ are the roots of $x^3+x^2-2x+1=0$ then what is the value of $\det\Delta$?

asked May 4, 2018 at 14:44

1 vote

2 answers

140 views

What is so special about this number?

asked Feb 27, 2018 at 17:24

1 vote

1 answer

183 views

How to evaluate the coefficient in this expression? [closed]

asked Mar 29, 2018 at 16:06

1 vote

1 answer

35 views

Find the area of the points that satisfy....

asked Apr 18, 2018 at 12:21

1 vote

2 answers

1k views

How many ways can 5 couples (4 American + 1 Indian) be arranged in a circle given the conditions?

asked Apr 29, 2018 at 17:27

1 vote

1 answer

309 views

Find the perimeter of the locus of the point satisfying this condition

asked Apr 5, 2018 at 12:19

1 vote

1 answer

162 views

Does this relation, imply that analytic functions are harmonic?

asked Apr 14, 2019 at 9:45

1 vote

1 answer

403 views

Probability of at most two events happening.

asked Aug 13, 2019 at 6:15

1 vote

3 answers

758 views

Discrete Independent random variables X and Y

asked Sep 15, 2019 at 9:44

1 vote

2 answers

10k views

Cumulative Distribution function of a Poisson distribution in terms of its parameter.

asked Sep 18, 2019 at 14:32

0 votes

2 answers

314 views

Can roots of an algebraic equation be neither real nor complex?

asked Apr 29, 2018 at 18:21

0 votes

2 answers

64 views

What do these functions mean?

asked Mar 31, 2018 at 13:23

0 votes

4 answers

48 views

What will be the value of this limit?

asked Apr 2, 2018 at 12:49

0 votes

3 answers

905 views

Does Cramer's Rule give fake solutions?

asked May 9, 2018 at 18:36

0 votes

1 answer

100 views

Let ABC be a triangle. I be the incentre. If BI = 5 , CI = 4 , BC =a then what are the possible values a?

asked May 24, 2018 at 3:48

0 votes

1 answer

601 views

what is limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{\sin(2x+2y)-2x-2y}{\root\of {{x^2+y^2}}}$

asked Sep 23, 2018 at 6:01

0 votes

2 answers

211 views

If a function has a local extremum at the point $(x_0,y_0)$ along every line, then does the function have a point of extremum?

asked Nov 3, 2018 at 17:00

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27 Questions

What is the value of $\sin 1 ^\circ \sin3^\circ\sin5^\circ \sin 7^\circ \sin 9^\circ \cdots \sin 179^\circ $?

If the complex number Z satisfies $ |Z^2 - 9| + |Z^2| = 41 $ then the true statements among the following are?

If $aZ^2 + bZ + 1 = 0$ and $|a|=0.5$. What is the value of $|ab' - b|$?

For rotation matrix $A$, find $B = A^4- A^3 + A^2 - A$

> Let $X$, $Y$, and $Z$ be three independent uniform random variables on $[0, 1]$. What is $P(XY < Z^2)$?

Solving for $k$ in $\cos \frac{\pi}k - \cos \frac{2\pi}k = P$

What is the image of P in BC?

For how many $k$ do the lines $3x-2y-12=0$ and $x+ky+3=0$ meet the coordinate axes in four concyclic points?

In a triangle ABC if $B-C = \frac\pi 4$ and .......... What will be the value of $\frac {a+b+c}{a}$

Why isn't $\lim_{x \to 0^+} x \left[ \frac px \right] = 0$?

If $a,b,c$ are the roots of $x^3+x^2-2x+1=0$ then what is the value of $\det\Delta$?

What is so special about this number?

How to evaluate the coefficient in this expression? [closed]

Find the area of the points that satisfy....

How many ways can 5 couples (4 American + 1 Indian) be arranged in a circle given the conditions?

Find the perimeter of the locus of the point satisfying this condition

Does this relation, imply that analytic functions are harmonic?

Probability of at most two events happening.

Discrete Independent random variables X and Y

Cumulative Distribution function of a Poisson distribution in terms of its parameter.

Can roots of an algebraic equation be neither real nor complex?

What do these functions mean?

What will be the value of this limit?

Does Cramer's Rule give fake solutions?

Let ABC be a triangle. I be the incentre. If BI = 5 , CI = 4 , BC =a then what are the possible values a?

what is limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{\sin(2x+2y)-2x-2y}{\root\of {{x^2+y^2}}}$

If a function has a local extremum at the point $(x_0,y_0)$ along every line, then does the function have a point of extremum?