Maths-
General
Easy

Question

Assertion (A): The curve y equals x to the power of 2 end exponent minus 6 x plus 9 touches the x-axis.
Reason(R): y equals a x to the power of 2 end exponent plus b x plus c touches the x-axis if capital delta equals b to the power of 2 end exponent minus 4 a c equals 0

  1. Both A and R are true and R is the correct explanation of A.    
  2. Both A and R are true and R is not the correct explanation of A.    
  3. A is true but R is false    
  4. A is false but R is true    

The correct answer is: Both A and R are true and R is the correct explanation of A.


    capital delta equals 0 rightwards double arrow y equals f left parenthesis x right parenthesis text  touches  end text x text -axis end text

    Related Questions to study

    General
    maths-

    Assertion (A): f left parenthesis x right parenthesis equals a x to the power of 2 end exponent plus b x plus c comma blank f o r blank a left parenthesis not equal to 0 right parenthesis comma b comma c element of R When a>0 and b to the power of 2 end exponent minus 4 a c less than 0 comma f left parenthesis x right parenthesis equals 0 has complex roots.
    Reason(R): The graph of f left parenthesis x right parenthesis equals a x to the power of 2 end exponent plus b x plus c cuts x-axis.

    Assertion (A): f left parenthesis x right parenthesis equals a x to the power of 2 end exponent plus b x plus c comma blank f o r blank a left parenthesis not equal to 0 right parenthesis comma b comma c element of R When a>0 and b to the power of 2 end exponent minus 4 a c less than 0 comma f left parenthesis x right parenthesis equals 0 has complex roots.
    Reason(R): The graph of f left parenthesis x right parenthesis equals a x to the power of 2 end exponent plus b x plus c cuts x-axis.

    maths-General
    General
    maths-

    In an ellipse 9 x to the power of 2 end exponent plus 5 y to the power of 2 end exponent equals 45, the distance between the foci is

    In an ellipse 9 x to the power of 2 end exponent plus 5 y to the power of 2 end exponent equals 45, the distance between the foci is

    maths-General
    General
    maths-

    If P identical to left parenthesis x comma   y right parenthesis, F subscript 1 end subscript identical to left parenthesis 3 comma   0 right parenthesis, F subscript 2 end subscript identical to left parenthesis negative 3 comma   0 right parenthesis and 16 x to the power of 2 end exponent plus 25 y to the power of 2 end exponent equals 400, then P F subscript 1 end subscript plus P F subscript 2 end subscript equals

    If P identical to left parenthesis x comma   y right parenthesis, F subscript 1 end subscript identical to left parenthesis 3 comma   0 right parenthesis, F subscript 2 end subscript identical to left parenthesis negative 3 comma   0 right parenthesis and 16 x to the power of 2 end exponent plus 25 y to the power of 2 end exponent equals 400, then P F subscript 1 end subscript plus P F subscript 2 end subscript equals

    maths-General
    parallel
    General
    chemistry-

    Arrange the following in decreasing order of their solubility in water

    Arrange the following in decreasing order of their solubility in water

    chemistry-General
    General
    chemistry-

    Which have maximum solubility in water, for nearly same molecular weight compounds

    Which have maximum solubility in water, for nearly same molecular weight compounds

    chemistry-General
    General
    chemistry-

    The correct order of solubility in water is :
    a) CH3OH
    b) CH3CH2OH
    c) 
    d) 

    The correct order of solubility in water is :
    a) CH3OH
    b) CH3CH2OH
    c) 
    d) 

    chemistry-General
    parallel
    General
    chemistry-

    Decreasing order of melting point of compound I - IV follows :

    Decreasing order of melting point of compound I - IV follows :

    chemistry-General
    General
    chemistry-

    Decreasing order of melting point of compound I to IV follows

    Decreasing order of melting point of compound I to IV follows

    chemistry-General
    General
    chemistry-

    Which order is correct regarding melting point ?

    Which order is correct regarding melting point ?

    chemistry-General
    parallel
    General
    chemistry-

    Decreasing order of boiling point of I to IV follow

    Decreasing order of boiling point of I to IV follow

    chemistry-General
    General
    chemistry-

    The correct boiling point order is :

    The correct boiling point order is :

    chemistry-General
    General
    chemistry-

    Arrange the following in decreasing order of their boiling points

    Arrange the following in decreasing order of their boiling points

    chemistry-General
    parallel
    General
    chemistry-

    Decreasing order of boiling point of I - IV follows

    Decreasing order of boiling point of I - IV follows

    chemistry-General
    General
    chemistry-

    Correct boiling point order for I to IV is

    Correct boiling point order for I to IV is

    chemistry-General
    General
    chemistry-

    The correct order of dipole moment is :

    The correct order of dipole moment is :

    chemistry-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.