Recent questions and answers in Mathematics

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1 Answer 5 Views

What is Equivalence Relation?

AlokKumar Answered in Mathematics Jan 7

by AlokKumar

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1 Answer 4 Views

What is Transitive Relation?

AlokKumar Answered in Mathematics Jan 7

by AlokKumar

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1 Answer 7 Views

What is Anti Symmetric Relation?

AlokKumar Answered in Mathematics Jan 7

by AlokKumar

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1 Answer 6 Views

What is Symmetric Relation?

AlokKumar Answered in Mathematics Jan 7

by AlokKumar

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1 Answer 5 Views

What is Reflexive Relation?

AlokKumar Answered in Mathematics Jan 7

by AlokKumar

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1 Answer 6 Views

What is Relation?

AlokKumar Answered in Mathematics Jan 7

by AlokKumar

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0 Votes

1 Answer 5 Views

Mirror image of $(-3,5)$ in line mirror

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 3 Views

If $x+y+1=0$ and $x+2 y+1=0$ are angle bisector of lines $L_{1}$ and $L_{2}$ and point $(0,0)$ lies on $L_{1}$, then acute angle bisector of $L_{1}$ and $L_{2}$ is

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 9 Views

Bisector of angle between $x+2 y-1=0$ and $2 x+y+1=0$ containing $(2,1)$ is

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 6 Views

Point where all lines of family $x(a+2 b)+y(a+3 b)=a+b$ are concurrent is

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 4 Views

Equation of line passing through point of intersection of $x+y+2=0$ and $x-y+4=0$ and having $x$-intercept $=0$

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 6 Views

If the slope of one line is double the other in line pair $x^{2}+6 x y+b y^{2}=0$, then $b=$ ?

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 3 Views

Equation of line pair perpendicular to $a x^{2}+b y^{2}+2 h x y=0$

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 6 Views

The sum of square of distances of a point from axes is 4 then its locus is

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 3 Views

The point $A(2,1)$ is translated parallel to the line $x-y=3$ by a distance 4 units. If its new position $A^{\prime}$ is in third quadrant then the co-ordinates of $A^{\prime}$ are

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 7 Views

Find point $P$ on $x$-axis such that $(A P+P B)$ is minimum where $A(1,1) \& B(3,4)$

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

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1 Answer 8 Views

The distance of $(0,0)$ from $y=2 x+2$ measured along $y=x$

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 7 Views

Values of $\alpha$ if $(\alpha, 2 \alpha)$ lies inside the $\triangle A B C$ if $A(0,2), B(2,0)$ and $C(4,4)$

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 2 Views

Distance between lines represented by $x^{2}+2 \sqrt{2} x y+2 y^{2}+4 x+4 \sqrt{2} y+1=0$

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 4 Views

If line joining $(0,0)$ to point of intersection of $5 x^{2}+12 x y-6 y^{2}+4 x-2 y+3=0$ and $x+k y-1=0$ are equally inclined with axis then $k=$?

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 6 Views

A variable line passing through fixed point $(a, b)$ intersect the coordinate axes at $A$ and $B$ if $O$ is origin, then locus of centroid of the triangle $OAB$ is

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

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1 Answer 4 Views

On the portion of the straight line $x+2 y=4$ intercepted between the axes, a square is constructed on the side of the line away from the origin.

Bittu Answered in Mathematics Dec 13, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 6 Views

If $y=\sqrt{3} x+1$ is a angle bisector of $L_{1} \& L_{2} \&$ if $L_{1}$ is $y=\frac{x}{\sqrt{3}}+1$ then equation of $L_{2}$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 10 Views

Area of square having two sides $y=x+1$ and $y=x+2$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 3 Views

The equation of line passing through origin $\&$ at an angle of $30^{\circ}$ with $y=\frac{1}{\sqrt{3}} x+1$

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 7 Views

If in a $\triangle A B C, B$ is the orthocenter and if circumcenter of $\triangle A B C$ is $(2,4)$ and vertex $A$ is $(0,0)$ then coordinate of vertex $C$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 8 Views

Normal form of line $x+y+1=0$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 6 Views

Equation of median through vertex $B$ of $\triangle A B C$ where $A(0,0), B(0,1) \& C(1,0)$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 5 Views

If $A\left(\cos \theta_{1}, \sin \theta_{1}\right) B\left(\cos \theta_{2}, \sin \theta_{2}\right) \& C\left(\cos \theta_{3}, \sin \theta_{3}\right)$, then orthocenter of $\triangle A B C$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 2 Views

Harmonic conjugate of $(0,0)$ wrt to $(-1,0)$ and $(2,0)$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 6 Views

In which ratio $x$-axis divides the line segment joining $(1,2) \&(2,3)$

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 5 Views

The triangle with vertex $(1,5),(-3,1) \&(-2,1)$ is

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 6 Views

A triangle is formed by joining three points $A(8,2), B(-4,-4)$ and $C(16,1)$ on rectangular hyperbola $x y=16$. If orthocentre of the triangle $A B C$ is $(h, k)$ then product hk is equal to

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 6 Views

The equations of two equal sides $A B \& A C$ of an isosceles $\triangle A B C$ are $x+y=5 \& 7 x-y=3$ respectively, the equation of the side $B C$ if ar $\triangle A B C$ is 5 units is :

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 3 Views

If a straight line through the point $P(3,5)$ makes an angle $\frac{\pi}{6}$ with $x$-axis and meets the lines $2 x+y+5=0$ $\& 3 x-2 y+7=0$ at $Q \& R$ then $\frac{P Q}{P R}=$

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

1 Vote

1 Answer 33 Views

If two curves whose equations are $a x^{2}+2 h x y+b y^{2}+2 g x+2 f y+c=0$ and $a^{\prime} x^{2}+2 h^{\prime} x y+b^{\prime} y^{2}+2 g^{\prime} x+2 f^{\prime} y+c^{\prime}=0$ intersect in four concyclic points, then :-

Bittu Answered in Mathematics Dec 12, 2022

by Bittu

1.2k Points

0 Votes

1 Answer 41 Views

What is the difference between $\alpha$, $\beta$ and $\gamma$ rays?

AlokKumar Answered in Mathematics May 29, 2022

by AlokKumar

5.0k Points

1 Vote

1 Answer 43 Views

A shawl is bought in Rs. 140 and sold in Rs. 133. What is the loss percent?

Gitesh kumar Garg Answered in Mathematics Mar 24, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 62 Views

A man bought two cows in Rs. 410 and sold each of them at the same price and thereby gained $15 \%$ on one and lost $10 \%$ on the other. What was the C.P. of each cow?

Gitesh kumar Garg Answered in Mathematics Mar 24, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 34 Views

If $10 \%$ be lost by selling an article in Rs. $22 \cdot 50$, then how much it should have been sold to gain $10 \%$ ?

Gitesh kumar Garg Answered in Mathematics Mar 24, 2022

by Gitesh kumar Garg

7.2k Points

0 Votes

1 Answer 34 Views

A watch was sold in Rs. 176 at a loss of $12 \%$. What was its cost price?

Gitesh kumar Garg Answered in Mathematics Mar 24, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 29 Views

A fountain pen is bought in Rs. 20 . For how much it be sold so as to gain $10 \%$ ?

Gitesh kumar Garg Answered in Mathematics Mar 24, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 30 Views

Lozenges were bought at 7 in $6 \mathrm{p}$ and sold at 6 in 7 p. Find the profit percent.

Gitesh kumar Garg Answered in Mathematics Mar 24, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 39 Views

C.D. Yadav bought a plastic sheet in Rs. 800 and sold it in Rs. $1000 .$ Find his gain or loss percent.

Gitesh kumar Garg Answered in Mathematics Mar 23, 2022

by Gitesh kumar Garg

7.2k Points

0 Votes

1 Answer 33 Views

A shopkeeper bought a table in Rs. 3500 and sold it in Rs. 4400 . Find his gain or loss.

Gitesh kumar Garg Answered in Mathematics Mar 23, 2022

by Gitesh kumar Garg

7.2k Points

0 Votes

1 Answer 21 Views

An article was sold in Rs. 150 at a profit of Rs. 10 . Find its C.P.

Gitesh kumar Garg Answered in Mathematics Mar 23, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 30 Views

A man bought $15 \mathrm{~kg}$ of milk at Rs. 7 per kg but $2 \mathrm{~kg}$ of it dropped through a leak. At what price per $\mathrm{kg}$ should he sell the rest to make a total gain of Rs. 64 ?

Gitesh kumar Garg Answered in Mathematics Mar 23, 2022

by Gitesh kumar Garg

7.2k Points

1 Vote

1 Answer 40 Views

The average of 11 results is 40 . The average of first 6 results is 44 and that of last 6 results is 36 . Find the 6 th result.

Gitesh kumar Garg Answered in Mathematics Mar 20, 2022

by Gitesh kumar Garg

7.2k Points

0 Votes

1 Answer 33 Views

The marks obtained by a student in Maths are 48, 53, 38 and $77 .$ Find their average.

Gitesh kumar Garg Answered in Mathematics Mar 20, 2022

by Gitesh kumar Garg

7.2k Points

0 Votes

1 Answer 23 Views

If the average incomes of $A$ and $B$, $B$ and $C$ and $C$ and $A$ are Rs. 190 , Rs. 210 , Rs. 200 respectively, then find the income of $A$.

Gitesh kumar Garg Answered in Mathematics Mar 20, 2022

by Gitesh kumar Garg

7.2k Points

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