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Answers posted by rvidyagovindarajan_1

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Write the components of the compound statement "Number $3$ is prime or it is odd" and also find whether it is true or false.
answered Jul 14, 2014
The given statement is "Number $3$ is prime or it is odd" and also find whether it is true or fal...
0 votes
Are the pair of statements "The number $x$ is a rational number." and "The number $x$ is an irrational number." negation of each other?
answered Jul 14, 2014
Toolbox:The negation of a statement is denial of the statement.The given statements are "The number ...
0 votes
Are the pair of statements "The number $x$ is not a rational number." and "The number $x$ is not an irrational number." negation of each other?
answered Jul 14, 2014
Toolbox:Negation of a statement is denial of the statement.The given statements are "The number $x$...
0 votes
Write the negation of "Every natural number is an integer."
answered Jul 14, 2014
Toolbox:The negation of a statement is denial of the statement.The given statement is "Every natura...
0 votes
Write the negation of "The number $2$ is greater than the number $7$."
answered Jul 14, 2014
Toolbox:The negation of a statement is the denial of the statement.The given statement is "The num...
0 votes
Write the negation of "All triangles are not equilateral triangle."
answered Jul 14, 2014
Toolbox:The negation of a statement is denial of the statement.The given statement is "All triangles...
0 votes
Write the negation of "$\sqrt 2$ is not a complex number."
answered Jul 14, 2014
Toolbox:Negation of a statement is denial of the statement.The given statement is "$\sqrt 2$ is no...
0 votes
Write the negation of "Chennai is the capital of Tamil Nadu."
answered Jul 14, 2014
Toolbox:Negation of a statement is denial of the statement.The given statement is "Chennai is the ...
0 votes
Give three examples of sentences which are not statements. Give reason.
answered Jul 4, 2014
$1.$ How beautiful is Taj Mahal!This sentence is exclamatory sentence and therefore is not a statem...
0 votes
'All real numbers are complex numbers.' Is this sentence a statement? How?
answered Jul 4, 2014
Toolbox:A sentence is a statement if it is either true or false always.All real numbers are complex ...
0 votes
'Today is a windy day.' Is this sentence a statement? why?
answered Jul 4, 2014
Toolbox:A sentence is a statement if it is true or false always.Today is a windy day.This sentence i...
0 votes
'The sum of all interior angles of a triangle is $180^\circ$.' Is this sentence a statement? Give reason.
answered Jul 4, 2014
Toolbox:A sentence is a statement if it is true or false always.The sum of all interior angles of a ...
0 votes
The product of $(-1)$ and $8$ is $8$. Is this sentance a statement? Give reason.
answered Jul 4, 2014
Toolbox:A sentence is a statement if it is either true or false always.The product of $(-1)$ and $8...
0 votes
'Answer this question.' Is this sentence a statement? why?
answered Jul 4, 2014
Toolbox:A sentence is a statement if it is either true or false always.The given sentence is 'Answe...
0 votes
The sides of a quadrilateral have equal length. Is this sentence a statement?
answered Jul 3, 2014
Toolbox:A sentence is a statement if it is either true or false always.The sides of a quadrilateral ...
0 votes
The square of a number is an even number. Is this sentence a statement? Give reason.
answered Jul 3, 2014
Toolbox:A sentence is a statement if it is either true or false always.The square of a number is an ...
0 votes
The sum of $5$ and $7$ is greater than $10$. Is this a statement? Give reason.
answered Jul 3, 2014
Toolbox:A sentence is a statement if it is either true always or false always.The sum of $5$ and $7$...
0 votes
Mathematics is difficult. Is this a statement? Give reason
answered Jul 3, 2014
Toolbox:A sentence is a statement if it is either true or false always.Mathematics is difficult.This...
0 votes
There are $35$ days in a month. Is this sentence a statement? Give reason.
answered Jul 3, 2014
Toolbox:A sentence is a statement if it is either true always or false always.There are $35$ days in...
0 votes
Find the lengths of medians of the triangle $ABC$ where $A(0,0,6),\:B(0,4,0)\:and\:C(6,0,0)$
answered May 11, 2014
Toolbox:Median is the segment joining the mid point of any one side of the triangle with the third v...
0 votes
Three vertices of a parallelogram $ABCD$ are $A(3,-1,2),\:B(1,2,-4)\:and\:C(-1,1,2)$ Find the coordinates of the $4^{th}$ vertex $D$.
answered May 11, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Find the coordinates of the points which trisect the segment joining the points $P(4,2,-6)$ and $ Q(10,-16,6)$
answered May 8, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Using the section formula show that the points $A(2,-3,4),\:B(-1,2,1),\: C(0,\large\frac{1}{3}$$,2)$ are collinear.
answered May 8, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Find the ratio in which $YZ$ plane divides the segment formed by joining the points $(-2,4,7)$ and $(3,-5,8)$
answered May 6, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Given that $P(3,2,-4),\:Q(5,4,-6)\:\:and\:\:R(9,8,-10)$ are collinear. Find the ratio in which $Q$ divides $PR$
answered May 6, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Find the coordinates of the point which divides the line segment joining the points $(-2,3,5)$ and $(1,-4,6)$ in the ratio $2:3$ externally.
answered May 5, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Find the coordinates of the point which divides the line segment joining the points $(-2,3,5)$ and $(1,-4,6)$ in the ratio $2:3$ internally.
answered May 5, 2014
Toolbox:Section formula: The coordinates of the point $C$ that divides the segment joining the poin...
0 votes
Find the equation of the set of points $P$ the sum of whose distance from $(4,0,0)$ and $(-4,0,0)$ is equal to $10$
answered May 3, 2014
Toolbox:The distance between two points $A(x_1,y_1,z_1)$ and $B(x_2,y_2,z_2)$ is given by $\sqrt ...
0 votes
Find the equation of the set of points which are equidiatant from the the points $(1,2,3)$ and $(3,2,-1)$
answered May 3, 2014
Toolbox:The distance between two points $A(x_1,y_1,z_1)$ and $B(x_2,y_2,z_2)$ is given by $\sqrt ...
0 votes
Verify that $(-1,2,1),\:(1,-2,5),\:(4,-7,8)\:and\:(2,-3,4)$ are vertices of a parallelogram.
answered Apr 17, 2014
Toolbox:distance between the points $A(x_1,y_1,z_1)$ and $B(x_2,y_2,z_2)$ is given by$\sqrt {(x_...
0 votes
Verify that $(0,7,10),\:(-1,6,6)\:and\:(-4,9,6)$ are vertices of a right angled triangle.
answered Apr 17, 2014
Toolbox:distance between the points $A(x_1,y_1,z_1)$ and $B(x_2,y_2,z_2)$ is given by$\sqrt {(x_...
0 votes
Verify that $(0,7,-10),\:(1,6,-6)\:and\:(4,9,-6)$ are vertices of an isosceles triangle.
answered Apr 17, 2014
Toolbox:distance between the points $A(x_1,y_1,z_1)$ and $B(x_2,y_2,z_2)$ is given by$\sqrt {(x_...
0 votes
Show that the points $(-2,3,5),\:(1,2,3)\:and\:(7,0,-1)$ are collinear.
answered Apr 17, 2014
Toolbox:To prove three points $A,B,C$ are collinear, we should prove sum of the distances between a...
0 votes
Find the distance between the points $(-1,3,-4)$ and $(1,-3,-4)$
answered Apr 16, 2014
Toolbox:Distance between two points $(x_1,y_1,z_1)\:\;and \:\:(x_2,y_2,z_2)$ is given by $\sqrt {...
0 votes
Find the distance between the the points $(2,-1,3)$ and $(-2,1,3)$.
answered Apr 16, 2014
Toolbox:Distance between two points $(x_1,y_1,z_1)\:\;and \:\:(x_2,y_2,z_2)$ is given by $\sqrt {...
0 votes
Find the distance between the points $(-3,7,2)$ and $(2,4,-1)$
answered Apr 16, 2014
Toolbox:Distance between two points $(x_1,y_1,z_1)\:\;and \:\:(x_2,y_2,z_2)$ is given by $\sqrt {...
0 votes
Find the distance between the points $(2,3,5)$ and $(4,3,1)$
answered Apr 16, 2014
Toolbox:Distance between two points $(x_1,y_1,z_1)\:\;and \:\:(x_2,y_2,z_2)$ is given by $\sqrt {...
0 votes
Coordinate planes divide the space into how many octants?
answered Apr 16, 2014
Three coordinate planes divide the space into $8$ octants.
0 votes
The coordinates of a point in the $xy$ plane are of the form ?
answered Apr 16, 2014
Any point on $xy$ plane will be of the form $(x,y,0)$
0 votes
The $x-$ axis and $y-$ axis taken together determine a plane known as ?
answered Apr 16, 2014
The plane containing $x-axis$ and $ y-axis$ is called $xy$ plane.
0 votes
Name the octant in which the point $(2,-4,-7)$ lies.
answered Apr 16, 2014
If the $y$ and $z$ coordinates are $-ve$ and $x$ coordinate is $+ve$,then the point is in $8^{th}$ ...
0 votes
Name the octant in which the point $(-3,-1,6)$ lies.
answered Apr 15, 2014
If the $x$ and $y$ coordinates are $-ve$ and $z$ coordinate is $+ve$,then the the point lies in $7^...
0 votes
Name the octant in which the point $(-4,2,5)$ lies.
answered Apr 15, 2014
If the $y$ and $z$ coordinates are $+ve$ and $x$ coordinate is $-ve$,then the point lies in $2^{nd}...
0 votes
Name the octant in which the point $(-4,2,-5)$ lies.
answered Apr 15, 2014
If the $x$ and $z$ coordinates are $-ve$ and $y$ coordinate is $+ve$,then the point lies in $6^{th}...
0 votes
Name the octant in which the point $(4,2,-5)$ lies.
answered Apr 15, 2014
If the $x$ and $y$ coordinates are $+ve$ and $z$ coordinate is $-ve$,then the point lies in $5^{th}...
0 votes
Name the octant in which the point $(4,-2,-5)$ lies.
answered Apr 15, 2014
If the $y$ and $z$ coordinates are $-ve$ and $x$ coordinate is $+ve$,then the point lies in $8^{th}...
0 votes
Name the octant in which the point $(4,-2,3)$ lies.
answered Apr 15, 2014
If $x$ and $z$ coordinates are $+ve$ and $y$ coordinate is $-ve$ thenthe point lies in $4^{th}$ ...
0 votes
Name the Octant in which the point $(1,2,3)$ lies.
answered Apr 15, 2014
If all the three coordinates are positive then the point lies on $1^{st}$ octant.
0 votes
A point is is $XZ$ plane. What can you say about its $y$ coordinate?
answered Apr 15, 2014
Any point on $XZ$ plane will have $x$ and $z$ coordinate. But its $y$ coordinate is zeroThat is ...
0 votes
A point is on $x-axis$. What are its $y-coordinate $ and $z-coordinate?$
answered Apr 15, 2014
Any point on $x-axis$ will have both the $y\:and\:z$ coordinate as zero.That is it will be of the f...
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