Eamcet - Maths - Quadratic Equations Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
Start Test

   Time Left : 00 : 30    : 00

If the quadratic equation ax2+bx+c=0 if a and c are of opposite signs and b is real,then roots of the equation are

  

  

  

  

The number having two digits such that it is 4 times the sum and three times the product of its two digits are

  

  

  

  

The least integral value of x for which 33-x(2+3x)>0 is

  

  

  

  

If the roots of x2+bx+c=0 are two consecutive integers then b2-4c=

  

  

  

  

3x-5x2+12 has maximum at x=

  

  

  

  

I:If α,β are the roots of the equation ax2+bx+c=0 then the quadratic equation whose roots are α+β,αβ is a2x2+a(b-c)x-bc=0 II:If α,β are the roots of 9x2+6x+1=0 then the equations with the roots 1/α,1/β is x2+6x+9=0

  

  

  

  

 I: The equation of the line parallel to 2x+3y-5=0 and passing through the point (3, -4) is 2x+3y-13=0 II: The equation of the line perpendicular to 2x+3y-5=0 and passing through the point (3, -4) is 3x-2y- 17=0

  

  

  

  

If the two equations x2-cx+d=0 and x2-ax+b=0 have a common root and the second equation has equal roots,then

  

  

  

  

The solution set of x2>4x-5 is

  

  

  

  

The extreme value of x2-5x+6 is

  

  

  

  

If x4 then the value of x2-7x+12 is

  

  

  

  

If x2+4y2-8x+12=0 is satisfied by real values of x and y then y must lies between

  

  

  

  

x2-2x+10 has minimum at x=

  

  

  

  

If the product of the roots of the equation 5x2-4x+2+k(4x2-2x-1)=0 is 2,then k=

  

  

  

  

If the roots of x2-2(5+2k)x+3(7+10k)=0 are equal then k=

  

  

  

  

A number consists of two digits whose product is 30.If the digits are interchanged the resulting numbers will exceed the previously by 9.The number is

  

  

  

  

If α,β are the roots of ax2+bx+c=0 then (α/β – β/α)2=

  

  

  

  

The cost of a cloth piece is Rs.35/-.If the length of the cloth piece is 4 metres more and each metre costs Rs.1/- less,the cost would remain unchanged.The length of the cloth piece is

  

  

  

  

If α, β are different values of θ satisfying the equations 5 cos θ+12 sin θ=11 then the value of sin (α+β)=

  

  

  

  

If x≠3/2 then the value of 4x2-12x+9 is

  

  

  

  

If the sum of the roots of the equation 5x2-4x+2+k(4x2-2x-1)=0 is 6,then k=

  

  

  

  

If xy+2x-3y-k is resolvable into two linear factors then k=

  

  

  

  

The maximum value of a2-abx-b2x2 is

  

  

  

  

If A,B,C are the minimum value of x2-8x+17,2x2+4x-5,3x2-7x+1 then the ascending order of A,B,C is

  

  

  

  

If 4 < x < 8 then the value of 12x-x2-32 is

  

  

  

  

If x2+ky2+x-y is resolvable into two linear factors then k=

  

  

  

  

If ax2+bx+c=0 and bx2+cx+a=0 have a common root and a≠0 then a3+b3+c3/abc=

  

  

  

  

If the system of equations x + y + z =6, x + 2y + 3z=10 has no solution then λ=

  

  

  

  

If b2-4ac>0,then the graph of y= ax2+bx+c

  

  

  

  

The quadratic equations x2 – 6xa = 0 and x2 – cx + 6 = 0 and have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

  

  

  

  

Note:
  • Click the 'Submit Test' button given in the bottom of this page to Submit your answers.
  • Test will be submitted automatically if the time expired.
  • Don't refresh the page.