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[mathjax] Question 1 निम्नलिखित वृत्त के केन्द्र तथा त्रिज्या निकाले। [Find the centre and radius of the following circles] (i) x 2 +y 2 -8x-12y-48=0 Sol : ⇒x 2 +y 2 -8x-12y-48=0 ⇒2g=-8 , 2f=-12...
[mathjax] Question 1 जाँच करे कि बिन्दु (3,-4) तथा (2,6) रेखा 3x-4y=8 के समान या विपरीत पक्षो मे है । [Examine whether the points (3,-4) and (2,6) are on of the same or opposite sides of the line...
[mathjax] Question 1 बिन्दु (3,4) से गुजरती हूई रेखा x+2y=3 के समान्तर रेखा का समीकरण निकाले । [Find the equation of the straight line parallel to x+2y=3 and passing through the point (3,4)] Sol :...
[mathjax] Question 1 रेखाएँ 9x+3y=4 तथा 2x+4y+5=0 के बीच का अधिक कोण निकाले । [Find the obtuse angle between the straight line 9x+3y-4=0 and 2x+4y+5=0] Sol : a 1 =9 ,b 1 =3a 2 =2 ,b 2 =4 $\tan \theta...
[mathjax] Question 1 रेखाओ 2x-3y+8=0 तथा 4x+5y=6 का प्रतिच्छेद बिन्दु निकाले । [Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6] Sol : 2×(2x-3y+8=0)..(i) 1×(4x+5y=6)..(ii) समीकरण...
[mathjax] Question 1 निम्नलिखित मे से प्रत्येक समीकरण का ढाल अन्तः खण्ड रुप मे रुपांतरित कीजिए और उनके ढाल तथा y-अन्तः खण्ड ज्ञात कीजिए [Reduce each of the following equations into slope-intercept...
[mathjax] Question 1 (i) एक रेखा का समीकरण निकाले जिसका x-अक्ष तथा y-अक्ष पर अन्तःखण्ड क्रमतः 2 और -3 है । [Find the equation of the line whose intercepts on x and y axes are 2 and -3 respectively.]...
[mathjax] उस सरल रेखा का समीकरण निकाले जिसकी ढाल 3 तथा y-अन्तः खण्ड -2 है। [Find the equation of the line with slope 3 and y intercept -2] Sol : सरल रेखा का समीकरण जिसका ढाल m=3 तथा y-अक्ष पर अन्तः...
[mathjax] Question 1 x-अक्ष के समान्तर इनके नीचे 3 इकाई की दूरी पर स्थित रेखा का समीकरण निकाले । [Find the equation of the line which is parallel to x-axis and at a distance of 3 units below the...
[mathjax] Question 1 उस रेखा की ढाल निकाले जिसका झुकाव है : [Find the slope of the line whose inclination is] (i) 0° Sol : θ=0° रेखा का ढ़ाल ,m=tan0°=0 (ii) 60° Sol : (iii) 150° Sol : रेखा का...
[mathjax] Question 1 (i) यदि किसी चर बिन्दु P के नियामक (cos θ+sin θ, sin θ-cos θ)$ हैं, जहाँ θ एक चर राशि है, तो P का बिद्धपध निकालें Sol : माना बिन्दु P का निर्देशांक =(x,y) x=cosθ+sinθ...(i),...
[mathjax] Question 1 त्रिभुज का क्षेत्रफल निकालें जिसके शीर्ष (3,-4),(7,5),(-1,10) हैं। [Find the area of the triangle whose vertices are] (3,-4),(7,5),(-1,10) Sol : त्रिभुज का क्षेत्रफल...