Maths-
General
Easy
Question
Given the equation 
, write an equation for a line that intersects the parabola two times.
Hint:
The equation of a line is in the form 
, where m is the slope of the line and c is the x-intercept.
We are asked to find the equation a line that intersects the parabola at two points.
The correct answer is: We are asked to find the equation a line that intersects the parabola at two points.
Step 1 of 2:
The maximum number of times a line could intersect a parabola is twice. Here, the given equation of the parabola is . The corresponding graph is:
Step 2 of 2:
The line is of the form , we have to find the value of m and c.
Analyzing the graph, it is clear that y=-x is a line that cuts the graph at two points. That is, m=-1 & c=0.
A line could intersect a parabola at zero point or exactly one point or two points.
Related Questions to study
General
Is Monday capitalized ?
Is Monday capitalized ?
GeneralGeneral
General
"Choose the synonyms to lesson"
"Choose the synonyms to lesson"
GeneralGeneral
General
Circle the word that described the ward in bold in each sentence
Circle the word that described the ward in bold in each sentence
GeneralGeneral
Maths-
Maths-General
General
Choose the synonym for "Command?
Choose the synonym for "Command?
GeneralGeneral
General
Complete the sentence with the best prefix
Let's re start the game after a short break
Complete the sentence with the best prefix
Let's re start the game after a short break
GeneralGeneral
Maths-
How is dividing each side of X>0 by a negative value different from dividing each side by a positive value?
How is dividing each side of X>0 by a negative value different from dividing each side by a positive value?
Maths-General
General
Choose the Synonym for 'Organized'?
Choose the Synonym for 'Organized'?
GeneralGeneral
Maths-
How are the solutions of an inequality different from the solutions of an equation ?
How are the solutions of an inequality different from the solutions of an equation ?
Maths-General
Maths-
Solve -5(2x-3)≤34 .
Solve -5(2x-3)≤34 .
Maths-General
General
Choose the synonym for 'not present'.
Choose the synonym for 'not present'.
GeneralGeneral
General
Chose the antonym for anachronism'.
Chose the antonym for anachronism'.
GeneralGeneral
Maths-
Solve -6x-5<-3(2x+1) .
Note:
If you get an inequality containing no variables, then the solution of the inequality is decided based on the numbers on either sides of the symbol.
Solve -6x-5<-3(2x+1) .
Maths-General
Note:
If you get an inequality containing no variables, then the solution of the inequality is decided based on the numbers on either sides of the symbol.
General
Is the word an adjective or adverb?
Sheng's painting uses a beautiful range of colors.
Is the word an adjective or adverb?
Sheng's painting uses a beautiful range of colors.
GeneralGeneral
General
choose the synonym for the word ‘traits’
choose the synonym for the word ‘traits’
GeneralGeneral
