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यदि A = 30°, B = 60° और C = 135°, तो sin3A + cos3B + tan3C – 3sin A cos B tan C का मान क्या है?
(A) 0
(B) 1
(C) 8
(D) 9
Q.2. What is the least value of tan2 θ + cot2 θ + sin2 θ + cos2 θ + sec2 θ + cosec2 θ?
tan2 θ + cot2 θ + sin2 θ + cos2 θ + sec2 θ + cosec2 θ का न्यूनतम मान क्या है?
(A) 1
(B) 3
(C) 5
(D) 7
Q.3 . What is the simplified value of cosec 2A + cot 2A?
cosec 2A + cot 2A का सरलीकृत मान क्या है?
(A) sec A
(B) sec (A/2)
(C) cot A
(D) cot2 A
Q.4. If there are four lines in a plain, then what cannot be the number of points of intersection of these lines?
यदि समतल पर चार रेखायें हैं, तो इन रेखाओं के प्रतिच्छेद बिंदु की संख्या क्या नहीं हो सकती ?
(A) 0
(B) 5
(C) 4
(D) 7
Q.5. In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)?
त्रिभुज PQR में,बिंदु A पर सभी शीर्षलम्भ प्रतिच्छेद करते है और बिंदु B पर त्रिभुज के सभी कोण द्विभाजक प्रतिच्छेद करते है। यदि ∠PBR = 105o हैं, तो ∠PAR का मान क्या है (डिग्री में)?
(A) 60
(B) 100
(C) 105
(D) 115
Q.6. PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
PQR एक सम कोण त्रिभुज है जिसमें ∠R = 90° है| यदि RS ⊥ PQ, PR = 3 सेमी और RQ = 4 सेमी हैं, तो RS (सेमी में) का मान है?
(A) 12/5
(B) 36/5
(C) 5
(D) 2.5
Q.7. In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?
त्रिभुज ABC में, शीर्षबिंदु A से BC पर बिंदु D तक एक रेखा खींची जाती है। यदि BC = 9 सेमी और DC = 3 सेमी है, तो क्रमशः त्रिभुज ABD और त्रिभुज ADC के क्षेत्रफलों का अनुपात क्या है?
(A) 1 : 1
(B) 2 : 1
(C) 3 : 1
(D) 4 : 1
Q.8. If
, then what is the value of 
?यदि
, तो 
का मान क्या है?(A) 1/5
(B) 5
(C) 25
(D) 60
Q.9. If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?
यदि x – y – √18 = –1 और x + y – 3√2 = 1, तो 12xy(x2 – y2)3 का मान क्या है?
(A) 0
(B) 1
(C) 512√2
(D) 612√2
Q.10. If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?
यदि (x - y) = 7, तो (x - 15)3 - (y - 8)3 का मान क्या है?
(A) 0
(B) 343
(C) 392
(D) 2863
Answers :
Q.1. (A)
Q.2. (D)
Q.3. (C)
Q.4. (D)
Q.5. (A)
Q.6. (A)
Q.7. (B)
Q.8. (B)
Q.9. (D)
Q.10. (A)
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