Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Quadratic Equations

Long Answer Type

371.

A takes 6 days less than B to do a work. If both A and B working together can do it in 4 days, how many days will B take to finish it?

Multiple Choice Questions

372.
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0, then ab equals

3

$- \frac{7}{2}$

6

-3

It is given that 1 is the root of the equations

${ay}^{2} + ay + 3 = 0 and y^{2} + y + b = 0 .$

Therefore, y = 1 will satisfy both the equations.

$∴ a (1)^{2} + a (1) + 3 = 0 \Rightarrow a + a + 3 = 0 \Rightarrow 2 a + 3 = 0 \Rightarrow a = \frac{- 3}{2} Also, (1)^{2} + (1) + b = 0 \Rightarrow 1 + 1 + b = 0 \Rightarrow b = - 2 ∴ ab = - \frac{3}{2} x - 2 = 3$

Long Answer Type

373.

Find the values (s) of k so that the quadratic equation 3x² - 2kx + 12 = 0 has equal roots.

374.

Solve for x: 4x² – 4ax + (a² – b²) = 0

Solve for x: 3x² - $\sqrt{6}$ x + 2 = 0

375.

A shopkeeper buys some books for Rs. 80. If he had bought 4 more books for the same amount, each book would have cost Rs. 1 less. Find the number of books he bought.

The sum of two number is 9 and the sum of their reciprocals is $\frac{1}{2}$ . Find the numbers.