Karnataka Secondary Education Examination BoardKarnataka SSLC
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Karnataka SSLC - Karnataka Secondary Education Examination Board Question Bank Solutions for Mathematics

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Mathematics
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In ΔPQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP.
Prove that : (i) ΔPQL ∼ ΔRPM
(ii) QL. Rm = PL. PM
(iii) PQ2 = QR. QL.

[3.02] Triangles
Chapter: [3.02] Triangles
Concept: Similarity of Triangles

If sec θ = `41/40`, then find values of sin θ, cot θ, cosec θ

[4.02] Trigonometric Identities
Chapter: [4.02] Trigonometric Identities
Concept: Trigonometric Identities

Prove that `(1 + sintheta)/(1 - sin theta)` = (sec θ + tan θ)2 

[4.02] Trigonometric Identities
Chapter: [4.02] Trigonometric Identities
Concept: Trigonometric Identities

In ΔPQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP.
Prove that : (i) ΔPQL ∼ ΔRPM
(ii) QL. Rm = PL. PM
(iii) PQ2 = QR. QL.

[3.02] Triangles
Chapter: [3.02] Triangles
Concept: Similarity of Triangles

If sec θ = `41/40`, then find values of sin θ, cot θ, cosec θ

[4.03] Introduction to Trigonometry
Chapter: [4.03] Introduction to Trigonometry
Concept: Trigonometric Identities

Prove that `(1 + sintheta)/(1 - sin theta)` = (sec θ + tan θ)2 

[4.03] Introduction to Trigonometry
Chapter: [4.03] Introduction to Trigonometry
Concept: Trigonometric Identities

In ΔPQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP.
Prove that : (i) ΔPQL ∼ ΔRPM
(ii) QL. Rm = PL. PM
(iii) PQ2 = QR. QL.

[3.02] Triangles
Chapter: [3.02] Triangles
Concept: Similarity of Triangles
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