## QUADRATIC EQUATIONS CLASS 10 TEST PAPER

As we all know "Practice makes a man perfect" so, more you practice , better you perform. for the sake of your practice we prepared Practice Papers,Test Papers, Important Questions strictly based on Latest CBSE Curriculum and new Pattern.This**Quadratic Equations Class 10 Test Paper**is based on new pattern and has all type of Questions as objective type questions, short questions and long questions.

**Class 10 Quadratic Equation Test Paper with answers**has 9 questions based on CBSE Class 10 Maths New Pattern.

**. Find the nature of roots $5{x}^{2}-2\sqrt{15}x+13=0$ .**

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**2**. Divide 51 into two parts whose product is 378.

**3**. Ram can row a boat 8 km downstream and return in 1 hour 40 minutes. If the speed of the stream is 2km/hr, find the speed of the boat in still water.

**4**. Solve for $x:9{x}^{2}-9\left(a+b\right)x+\left(2{a}^{2}+5ab+2{b}^{2}\right)$ .

**5**. If the roots of the Equation $\left(a-b\right){x}^{2}+\left(b-c\right)x+\left(c-a\right)=0$ are equal, prove that $2a=b+c$

**6**. Solve the equation : $5\sqrt{\frac{3}{x}}+7\sqrt{\frac{x}{3}}=22\frac{2}{3}$

**7**. The area of a right – angled triangle is 600 cm2.If the base of the triangle exceeds the altitude by 10 cm find the dimensions of the triangle.

**8**. 300 apples are distributed equally among a certain number of students. Had there been 10 more students, each would have received one apple less. Find the number of students.

**9**. The sum of the squares of the two natural number is 34. If the first number is one less than twice the second number, find the numbers.

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