Question
The points
and (82, 30) are vertices of
- an obtuse – angled Δ
- an acute – angled Δ
- a right – angled Δ
- none of these
The correct answer is: none of these
Here we have given 3 vertices.
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is
m = change in y/change in x = Δy/Δx
where “m” is the slope of a line.
The slope of the line can also be represented by
tan θ = Δy/Δx
Slope, m = Change in y-coordinates/Change in x-coordinates
m = (y2 – y1)/(x2 – x1)
Here we will use the same formula to find the slope. If slope matches, then its not a triangle.
![L e t space A left parenthesis x 1 comma y 1 right parenthesis space equals space left parenthesis 0 comma space 8 divided by 3 right parenthesis comma space B left parenthesis x 2 comma y 2 right parenthesis space equals space left parenthesis 1 comma 3 right parenthesis comma space C left parenthesis x 3 comma y 3 right parenthesis space equals space left parenthesis 82 comma 30 right parenthesis.
S l o p e space o f space A B space i s colon space fraction numerator 3 space minus space left parenthesis begin display style 8 over 3 end style right parenthesis space over denominator 1 minus 0 end fraction
S l o p e space o f space A B space i s colon 1 third
S l o p e space o f space B C space i s colon space fraction numerator 30 minus 3 over denominator 82 minus 1 end fraction
S l o p e space o f space B C space i s colon space 1 third
S o space t h e space s l o p e s space a r e space s a m e.
T h e n space A comma space B space a n d space C a r e space c o l l i n e a r space a n d space w i l l space n o t space f o r m space t r i a n g l 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Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure. A straight line is an endless one-dimensional figure that has no width. Here we have given the points as (0, 8/3), (1, 3) and (82, 30), we have to find these are the vertices of which figure.
Here we used the concept of slope and slope of a line where we found the slope of the line of side off triangle and found that the slopes of th e lines are same and hence A, B and C were collinear. So it cannot form any triangle and its a straight line on which all the three points are lying.
Related Questions to study
Rate of the reaction is fastest when Z is :
![](data:image/png;base64,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)
Rate of the reaction is fastest when Z is :
![](data:image/png;base64,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)
Amides undergo hydrolysis to yield carboxylic acid plus amine on heating in either aqueous acid or aqueous base. The conditions required for amide hydrolysis are more severe than those required for the hydrolysis of esters, anhydrides or acid chlorides, but the mechanism is similar (nucleophilic acyl substitution). Nucleophilic acyl substitutions involve a tetrahedral intermediate, hence these are quite different from alkyl substitution
which involves a pentavalent intermediate or transition state. One of the important reactions of esters is their reaction with two equivalent of Grignard reagent to give tertiary alcohols
When
is treated with two equivalent of methyl magnesium iodide and the product acidified the final product will be
Amides undergo hydrolysis to yield carboxylic acid plus amine on heating in either aqueous acid or aqueous base. The conditions required for amide hydrolysis are more severe than those required for the hydrolysis of esters, anhydrides or acid chlorides, but the mechanism is similar (nucleophilic acyl substitution). Nucleophilic acyl substitutions involve a tetrahedral intermediate, hence these are quite different from alkyl substitution
which involves a pentavalent intermediate or transition state. One of the important reactions of esters is their reaction with two equivalent of Grignard reagent to give tertiary alcohols
When
is treated with two equivalent of methyl magnesium iodide and the product acidified the final product will be
Write the converse of the statement if x + 2 = 6, then x = 4
So we have given a statement and we have to find the what is the converse is. A conditional statement that has the antecedent and consequent switched around is known as a converse statement. So the answer is x + 2 = 6 i.e. if x = 4 then 4 + 2 = 6.
Write the converse of the statement if x + 2 = 6, then x = 4
So we have given a statement and we have to find the what is the converse is. A conditional statement that has the antecedent and consequent switched around is known as a converse statement. So the answer is x + 2 = 6 i.e. if x = 4 then 4 + 2 = 6.
The converse of “if in a triangle ABC, AB =AC then
is
Converse of “if in a triangle ABC, AB =AC then is In a triangle ABC, if
then AB = AC.
The converse of “if in a triangle ABC, AB =AC then
is
Converse of “if in a triangle ABC, AB =AC then is In a triangle ABC, if
then AB = AC.