This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the questions from the image: प्र.4 सही जोड़ी मिलाइए - (Match the columns -) (i) बहुपद x + 1 का शून्यक (f) -1 (Explanation: x+1=0 x=-1) (ii) रैखिक बहुपद (d) 1+x (Explanation: A linear polynomial has a degree of 1.) (iii) बहुपद x^5 - x^4 + 3 की घात (c) 5 (Explanation: The highest power of the variable in the polynomial is 5.) (iv) x-अक्ष के निर्देशांक (e) (x, 0) (Explanation: Any point on the x-axis has a y-coordinate of 0.) (v) बहुपद 5x^2 में x का गुणांक (a) 0 (Explanation: The term with x^1 is absent in 5x^2, so its coefficient is 0.) (vi) बिन्दु (5, 6) की कोटि (b) 6 (Explanation: The ordinate of a point (x, y) is its y-coordinate.) प्र.5 एक शब्द/वाक्य में उत्तर दीजिए - (Answer in one word/sentence -) (i) यदि बिन्दु (+, +) के रूप का है, तो वह किस चतुर्थांश में होगा? (i) In which quadrant a point lies, if the point is of the form (+, +)? The point will lie in the First Quadrant. (ii) रैखिक समीकरण x = 3y को मानक रूप में लिखिए। (ii) Write the linear equation x = 3y in standard form. The standard form Ax + By + C = 0 gives x - 3y + 0 = 0. (iii) एक बिन्दु से होकर कितनी रेखाएँ खींची जा सकती हैं? (iii) How many lines can pass through one point? Infinitely many lines can pass through one point. (iv) किसी समान्तर चतुर्भुज के विकर्ण परस्पर समान और लम्बवत् हों, तो वह चतुर्भुज होगा। (iv) If the diagonals of a parallelogram are equal and perpendicular to each other, then quadrilateral will be. The quadrilateral will be a square. (v) वृत्त की सबसे बड़ी जीवा कहलाती है। (v) Write the name of longest chord of a circle. The longest chord of a circle is its diameter. (vi) त्रिभुज का क्षेत्रफल संबंधी हीरॉन का सूत्र लिखिए। (vi) Write the Heron's formula to find the area of a triangle. Heron's formula for the area of a triangle with side lengths a, b, c is: Area = sqrt(s(s-a)(s-b)(s-c)) where s is the semi-perimeter: s = (a+b+c)/(2) You've used your free questions for today. To continue solving, you can type /upgrade for unlimited access!