Loading [MathJax]/jax/output/CommonHTML/jax.js

CBSE Questions for Class 10 Maths Quadratic Equations Quiz 8 - MCQExams.com

Find the roots of the equation by the method of Completion of Squares:
x26x+9=0
  • 3,3
  • 3,3
  • 2,2
  • 1,1
If the roots of the quadratic equation 5x22kx+20=0 are real and equal then the value of k is ________.
  • 20
  • 10
  • 10 or 10
  • 10
Find the roots of the quadratic equation x2+2x+3=0.
  • 0,1
  • 1 2i , 1+2i
  • 1+i,1i
  • None
Given the roots of x2px+8p15=0 are equal, the value of p is equal to
  • 3,5
  • 2,5
  • 3,6
  • 2,30
Find the roots of the following quadratic equation (if they exist) by the method of completing the square.
x2(2+1)x+2=0
  • exist,2, 1
  • exist,2, 1
  • exist,2, 1
  • does not exist
State true or false:
The roots of the quadratic equation 2x2+x4=0  are 1+334 and 1334 (if they exist).
  • True
  • False
In the following, determine whether the given values are solutions of the given equation or not :
 x233x+6=0,x=3,x=23
  • x=3 is not a solution but x=23 is a solution.
  • x=3 is a solution but x=23 is not a solution.
  • x=3 and x=23 are not solutions.
  • x=3 and x=23 are solutions.
The roots of the following quadratic equation (if they exist) by the method of completing the square.
x242x+6=0
are2,32
  • True
  • False
The roots of the following quadratic equation (if they exist) by the method of completing the square.
4x2+43x+3=0
are 32,32
  • True
  • False
The roots of the quadratic equation 2x23x22=0 (if they exist) by the method of completing the square are 12, 22.
  • True
  • False
The roots of the quadratic equation 3x2+11x+10=0 (if they exist) by the method of completing the square are 53, 2.
  • True
  • False
The roots of the following quadratic equation (if they exist) by the method of completing the square.
2x27x+3=0 are 3, 12
  • True
  • False
The equation a2 - 2a sinx + 1 has only two possible real solutions for a .
  • True
  • False

Which of the following statements is TRUE/CORRECT about Quadratic Equations? A quadratic equation is _____

  • An expression with a single variable and degree 2.
  • An equation with a single variable and degree 2.
  • An equation with degree 2 only.
  • An equation with single variable only.
Check whether the given equation is a quadratic equation or not.
x2+1x2=2
  • True
  • False
Check whether the given equation is a quadratic equation or not.
3x24x+2=2x22x+4
  • True
  • False
Solve by the method of completing the square 5x26x2=0
  • 3+195 and 3195 
  • 3+195 and 3195 
  • 3+193 and 3195 
  • 3+195 and 3193 
Solve:
x22x+360=0
  • x=1±359
  • x=2±359
  • x=1±359
  • None of these
Roots of the equation 2x25x+1=0, x2+5x+2=0 are
  • reciprocal and of same sign
  • reciprocal and of opposite sign
  • equal in product
  • None of these
Two water taps together can fill a tank in 3113 hours. The tap of longer diameter takes 3 hours less then smaller one to fill the bank separately. Find the time(hrs) in which tap of smaller diameter can separately fill the tank.
  • 5
  • 3
  • 8
  • None of these
Find the roots of the equation 5x26x2=0 by the method of completing the square.
  • 3±762
  • 3±194
  • 3±7610
  • 3±195
The value of a for which the quadratic equation 2x2x(a2+8a1)+a24a=0 has roots opposite signs, lie in the interval 
  • 1<a<5
  • 0<a<4
  • 1<a<2
  • 2<a<6
The equation 10x1x=3 when solved by the method of completing the square yields x = 0.5.
  • True
  • False
The roots of the given equation (pq)x2+(qr)x+(rp)=0  are 
  • pqrp,1
  • qrpq,1
  • rppq,1
  • 1,qrpq
If α and β are the roots of equation x23x+1=0 and an=αn+βn,nN then the value of a7+a5a6
  • 1
  • 2
  • 3
  • 4
The sum of the roots of the quadratic 5x26x+1=0 is
  • 65
  • 15
  • 56
  • 15
If α,β are the roots of x2x+1=0 then (α2α)3+(β2β)3(2α)(2β) is equal to
  • 0
  • 1
  • 23
  • 2
The roots of  ax2+bx+c=0 where a0 and coefficients are real and a+c<b, then
  • 4a+c>2b
  • 4a+c<2b
  • 4a+c=2b
  • none of the above
If p,q,r are the roots of the cubic equation x33x+4=0, then value of 1p3+q3+8+1q3+r3+8+1r3+p3+8 is equal to
  • maximum value of f(x)=x2+2x14x[2,2]
  • minimum value of g(x)=2x23x+78x[1,1]
  • 1α where α is characteristic of log9(6569)
  • value of log(antilog128(47)(12)
In the quadratic equation x2+(p+iq)x+3i=0, p and q are real. If the sum of the square of the squares of the roots is 8 then find the values of p &  q 
  • p=3,q=1
  • p=3,q=1
  • p=3,q=1 or p=3,q=1
  • p=3,q=1
0:0:2


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 10 Maths Quiz Questions and Answers