List of top Questions asked in CBSE Class X

जीवन का सच्चा सुख संयम में... 
संकेत बिंदु – संतोष का महत्व • इच्छा नियंत्रण • सुखी जीवन का आधार 
 

Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.
Solve the equation \(4x^2 - 9x + 3 = 0\), using quadratic formula.
\(\alpha, \beta\) are zeroes of the polynomial \(3x^2 - 8x + k\). Find the value of \(k\), if \(\alpha^2 + \beta^2 = \dfrac{40}{9}\)
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is
A drone is flying at a height of \(h\) metres. At an instant it observes the angle of elevation of the top of an industrial turbine as \(60^\circ\) and the angle of depression of the foot of the turbine as \(30^\circ\). If the height of the turbine is \(200\, \text{metres}\), find the value of \(h\) and the distance of the drone from the turbine.
(Use \(\sqrt{3} = 1.73\))

What changes are observed in the uterus: 
(i) Subsequent to the implantation of the zygote and 
(ii) If an egg does not get fertilized?

आप अदिति / आदित्य हैं। आपकी दादीजी को खेलों में अत्यधिक रुचि है। ओलंपिक खेल-2024 में भारत के प्रदर्शन के बारे में जानकारी देते हुए लगभग 100 शब्दों में पत्र लिखिए।

'माता का अंचल' पाठ में बाबूजी माताजी से कब और क्यों नाराज हो जाते थे ? संतान के प्रति इस प्रकार का व्यवहार क्या आपको अपने घर या घर के आसपास भी दिखाई देता है ? संक्षेप में वर्णन कीजिए।

Why was the Indian subcontinent significant to trade networks before European intervention? Explain.
"Democracy accommodates social diversity better than dictatorship." Justify the statement.
Describe any three features of the multiparty system.
Analyse the significance of the Primary Sector in the Indian economy.
In \(\triangle ABC, \angle B = 90^\circ\). If \(\frac{AB}{AC} = \frac{1}{2}\), then \(\cos C\) is equal to
Describe the steps taken by French revolutionaries to create a sense of national unity and belonging.
Nidhi received simple interest of ₹1,200 when she invested ₹x at 6% per annum and ₹y at 5% per annum for 1 year. Had she invested ₹x at 3% per annum and ₹y at 8% per annum for that year, she would have received simple interest of ₹1,260.Find the values of x and y.
The minimum number of identical bulbs of rating 4V, 6W, that can work safely with desired brightness, when connected in series with a 240V mains supply is:
Why was the Silk Route considered a good example of vibrant pre-modern trade?

निम्नलिखित विषय पर संकेत बिंदुओं के आधार पर लगभग 120 शब्दों में एक अनुच्छेद लिखिए |
पर्यावरण की आत्मा : वृक्ष

संकेत बिंदु - 
पर्यावरण क्या है 
पर्यावरण में वृक्षों का महत्त्व 
वृक्षारोपण अभियान

Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]
Suggest any two ways for the conservation of minerals.
As a resident of B/66 Mall Road, Guwahati, and a parent of a Grade X student, you are deeply concerned about the declining writing habits among students in today’s digital age. This trend significantly impacts their academic performance.
Write a letter in 100–120 words to the editor of ‘The Geo Youth Times’ expressing your concern about this issue. Also, suggest measures to emphasize the importance of reading and writing skills in schools.
You are Vidhi/Vaibhav.
Describe the role of primary sector in providing employment.

निम्नलिखित विषय पर संकेत बिंदुओं के आधार पर लगभग 120 शब्दों में एक अनुच्छेद लिखिए |
डिजिटल इंडिया

संकेत बिंदु - 
डिजिटल इंडिया क्या है 
डिजिटल होने के लाभ 
सरकार द्वारा उठाए गए कदम

'मैं क्यों लिखता हूँ' पाठ के आधार पर लिखिए कि कृतिकार के स्वभाव और आत्मानुशासन का लेखन में क्या महत्त्व है ?