Trying to find the right answer to this..

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

Short Answer Type

251. By reduction of Re. 1 per kg in the price of sugar. Ritika can buy one kg sugar more for Rs. 56. Find the original price of sugar per kilograms.

89 Views

252. A piece of cloth costs Rs. 200. If the piece were 5 m longer and each metre of cloth costed Rs. 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre.

97 Views

Long Answer Type

253. Two very good friends ‘Fox’ and ‘Eagle’ lived at the top of a cliff of height 6 m whose base was at a distance of 10 m from a point A on the ground. The fox descends the cliff and went straight to the point A. The eagle flew vertically up to height x and then flew in a straight line to point A. The distance travelled by each being the same. Find the value of x.

98 Views

Short Answer Type

254. On a pillar 9 metres high is perched a peacock. From a distance of 27 metres, a beautiful snake is coming to its hole at the bottom of a pillar. Seeing a beautiful snake, the peacock flying in an oblique direction, pounces upon it. If their speeds are equal of what distance away the hole is the beautiful snake caught.

104 Views

Long Answer Type

255. A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

257 Views

Short Answer Type

256. If the equation (1 + m²)x² + 2mcx + (c² – a²) = 0 has equal roots. Prove that c² = a² (1 + m²).

96 Views

257. If the roots of the equation (b – c)x² + (c - a)x + (a b) = 0 are equal then prove that 2b = a + c.

Solution not provided.

84 Views

258. Find the value of ‘p’ for which the given quadratic equation has equal roots.
5x² – 4x + 2 + p(4x² – 2x – 1) = 0.

77 Views

Long Answer Type

259.

Solve for 'x': $fraction numerator 1 over denominator left parenthesis straight x minus 1 right parenthesis space left parenthesis straight x minus 2 right parenthesis end fraction plus fraction numerator 1 over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus 3 right parenthesis end fraction plus fraction numerator 1 over denominator left parenthesis straight x minus 3 right parenthesis left parenthesis straight x minus 4 right parenthesis end fraction equals 1 over 6$